{ "cells": [ { "cell_type": "markdown", "id": "numerous-rochester", "metadata": {}, "source": [ "# Python Control Systems Library (python-control) Tutorial\n", "\n", "This Jupyter notebook contains an introduction to the basic operations in the Python Control Systems Library (python-control), a Python package for control system design. The tutorial consists of two examples:\n", "\n", "* Example 1: Open loop analysis of a coupled mass spring system\n", "* Example 2: Trajectory tracking for a kinematic car model" ] }, { "cell_type": "markdown", "id": "9531972e-c4b8-4a87-87d8-d83a01d4271f", "metadata": {}, "source": [ "## Initialization\n", "\n", "The python-control package can be installed using `pip` or from conda-forge. The code below will import the control toolbox either from your local installation or via pip. We use the prefix `ct` to access control toolbox commands:" ] }, { "cell_type": "code", "execution_count": 1, "id": "macro-vietnamese", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "python-control 0.10.1.dev324+g2fd3802a.d20241218\n" ] } ], "source": [ "# Import the packages needed for the examples included in this notebook\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Import the python-control package\n", "try:\n", " import control as ct\n", " print(\"python-control\", ct.__version__)\n", "except ImportError:\n", " %pip install control\n", " import control as ct" ] }, { "cell_type": "markdown", "id": "distinct-communist", "metadata": {}, "source": [ "### Installation notes\n", "\n", "If you get an error importing the `control` package, it may be that it is not in your current Python path. You can fix this by setting the PYTHONPATH environment variable to include the directory where the python-control package is located. If you are invoking Jupyter from the command line, try using a command of the form\n", "\n", " PYTHONPATH=/path/to/python-control jupyter notebook\n", " \n", "If you are using [Google Colab](https://colab.research.google.com), use the following command at the top of the notebook to install the `control` package:\n", "\n", " %pip install control\n", "\n", "(The import code above automatically runs this command if needed.)\n", " \n", "For the examples below, you will need version 0.10.0 or higher of the python-control toolbox. You can find the version number using the command\n", "\n", " print(ct.__version__)" ] }, { "cell_type": "markdown", "id": "5dad04d8", "metadata": {}, "source": [ "### More information on Python, NumPy, python-control\n", "\n", "* [Python tutorial](https://docs.python.org/3/tutorial/)\n", "* [NumPy tutorial](https://numpy.org/doc/stable/user/quickstart.html)\n", "* [NumPy for MATLAB users](https://numpy.org/doc/stable/user/numpy-for-matlab-users.html)\n", "* [Python Control Systems Library (python-control) documentation](https://python-control.readthedocs.io/en/latest/)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "1c619183", "metadata": { "id": "qMVGK15gNQw2" }, "source": [ "## Example 1: Open loop analysis of a coupled mass spring system\n", "\n", "Consider the spring mass system below:\n", "\n", "
\n", "\n", "We wish to analyze the time and frequency response of this system using a variety of python-control functions for linear systems analysis.\n", "\n", "### System dynamics\n", "\n", "The dynamics of the system can be written as\n", "\n", "$$\n", "\\begin{aligned}\n", " m \\ddot{q}_1 &= -2 k q_1 - c \\dot{q}_1 + k q_2, \\\\\n", " m \\ddot{q}_2 &= k q_1 - 2 k q_2 - c \\dot{q}_2 + ku\n", "\\end{aligned}\n", "$$\n", "\n", "or in state space form:\n", "\n", "$$\n", "\\begin{aligned}\n", " \\dfrac{dx}{dt} &= \\begin{bmatrix}\n", " 0 & 0 & 1 & 0 \\\\\n", " 0 & 0 & 0 & 1 \\\\[0.5ex]\n", " -\\dfrac{2k}{m} & \\dfrac{k}{m} & -\\dfrac{c}{m} & 0 \\\\[0.5ex]\n", " \\dfrac{k}{m} & -\\dfrac{2k}{m} & 0 & -\\dfrac{c}{m}\n", " \\end{bmatrix} x\n", " + \\begin{bmatrix}\n", " 0 \\\\ 0 \\\\[0.5ex] 0 \\\\[1ex] \\dfrac{k}{m}\n", " \\end{bmatrix} u.\n", "\\end{aligned}\n", "$$\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "9f86a07f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ": coupled spring mass\n", "Inputs (1): ['u[0]']\n", "Outputs (2): ['q1', 'q2']\n", "States (4): ['x[0]', 'x[1]', 'x[2]', 'x[3]']\n", "\n", "A = [[ 0. 0. 1. 0. ]\n", " [ 0. 0. 0. 1. ]\n", " [-4. 2. -0.1 0. ]\n", " [ 2. -4. 0. -0.1]]\n", "\n", "B = [[0.]\n", " [0.]\n", " [0.]\n", " [2.]]\n", "\n", "C = [[1. 0. 0. 0.]\n", " [0. 1. 0. 0.]]\n", "\n", "D = [[0.]\n", " [0.]]\n" ] } ], "source": [ "# Define the parameters for the system\n", "m, c, k = 1, 0.1, 2\n", "# Create a linear system\n", "A = np.array([\n", " [0, 0, 1, 0],\n", " [0, 0, 0, 1],\n", " [-2*k/m, k/m, -c/m, 0],\n", " [k/m, -2*k/m, 0, -c/m]\n", "])\n", "B = np.array([[0], [0], [0], [k/m]])\n", "C = np.array([[1, 0, 0, 0], [0, 1, 0, 0]])\n", "D = 0\n", "\n", "sys = ct.ss(A, B, C, D, outputs=['q1', 'q2'], name=\"coupled spring mass\")\n", "print(sys)" ] }, { "cell_type": "markdown", "id": "1941fba0", "metadata": { "id": "YmH87LEXWo1U" }, "source": [ "### Initial response\n", "\n", "The `initial_response` function can be used to compute the response of the system with no input, but starting from a given initial condition. This function returns a response object, which can be used for plotting." ] }, { "cell_type": "code", "execution_count": 3, "id": "195a3289", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "response = ct.initial_response(sys, X0=[1, 0, 0, 0])\n", "cplt = response.plot()" ] }, { "cell_type": "markdown", "id": "3e48c1df", "metadata": { "id": "Y4aAxYvZRBnD" }, "source": [ "If you want to play around with the way the data are plotted, you can also use the response object to get direct access to the states and outputs." ] }, { "cell_type": "code", "execution_count": 4, "id": "705cac47", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the outputs of the system on the same graph, in different colors\n", "t = response.time\n", "x = response.states\n", "plt.plot(t, x[0], 'b', t, x[1], 'r')\n", "plt.legend(['$x_1$', '$x_2$'])\n", "plt.xlim(0, 50)\n", "plt.ylabel('States')\n", "plt.xlabel('Time [s]')\n", "plt.title(\"Initial response from $x_1 = 1$, $x_2 = 0$\");" ] }, { "cell_type": "markdown", "id": "b136ca77", "metadata": { "id": "Cou0QVnkTou9" }, "source": [ "There are also lots of options available in `initial_response` and `.plot()` for tuning the plots that you get." ] }, { "cell_type": "code", "execution_count": 5, "id": "3d127338", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for X0 in [[1, 0, 0, 0], [0, 2, 0, 0], [1, 2, 0, 0], [0, 0, 1, 0], [0, 0, 2, 0]]:\n", " response = ct.initial_response(sys, T=20, X0=X0)\n", " response.plot(label=f\"{X0=}\")" ] }, { "cell_type": "markdown", "id": "c09ccc24", "metadata": { "id": "b3VFPUBKT4bh" }, "source": [ "### Step response\n", "\n", "Similar to `initial_response`, you can also generate a step response for a linear system using the `step_response` function, which returns a time response object:" ] }, { "cell_type": "code", "execution_count": 6, "id": "91364e84", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cplt = ct.step_response(sys).plot()" ] }, { "cell_type": "markdown", "id": "3bd1f5be", "metadata": { "id": "iHZR1Q3IcrFT" }, "source": [ "We can analyze the properties of the step response using the `stepinfo` command:" ] }, { "cell_type": "code", "execution_count": 7, "id": "00fe1ab8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input 0, output 0 rise time = 0.6153902252990775 seconds\n", "\n" ] }, { "data": { "text/plain": [ "[[{'RiseTime': 0.6153902252990775,\n", " 'SettlingTime': 89.02645259326653,\n", " 'SettlingMin': -0.13272845655369417,\n", " 'SettlingMax': 0.9005994876222034,\n", " 'Overshoot': 170.17984628666102,\n", " 'Undershoot': 39.81853696610825,\n", " 'Peak': 0.9005994876222034,\n", " 'PeakTime': 2.3589958636464634,\n", " 'SteadyStateValue': 0.33333333333333337}],\n", " [{'RiseTime': 0.6153902252990775,\n", " 'SettlingTime': 73.6416969607896,\n", " 'SettlingMin': 0.2276019820782241,\n", " 'SettlingMax': 1.13389337710215,\n", " 'Overshoot': 70.08400656532254,\n", " 'Undershoot': 0.0,\n", " 'Peak': 1.13389337710215,\n", " 'PeakTime': 6.564162403190159,\n", " 'SteadyStateValue': 0.6666666666666665}]]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "step_info = ct.step_info(sys)\n", "print(\"Input 0, output 0 rise time = \",\n", " step_info[0][0]['RiseTime'], \"seconds\\n\")\n", "step_info" ] }, { "cell_type": "markdown", "id": "4c43d03c", "metadata": { "id": "F8KxXwqHWFab" }, "source": [ "Note that by default the inputs are not included in the step response plot (since they are a bit boring), but you can change that:" ] }, { "cell_type": "code", "execution_count": 8, "id": "9e0eaa51", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stepresp = ct.step_response(sys)\n", "cplt = stepresp.plot(plot_inputs=True)" ] }, { "cell_type": "code", "execution_count": 9, "id": "03cdf207", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the inputs on top of the outputs\n", "cplt = stepresp.plot(plot_inputs='overlay')" ] }, { "cell_type": "code", "execution_count": 10, "id": "5cc0e76c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "stepresp.time.shape=(1348,)\n", "stepresp.inputs.shape=(1, 1, 1348)\n", "stepresp.states.shape=(4, 1, 1348)\n", "stepresp.outputs.shape=(2, 1, 1348)\n" ] } ], "source": [ "# Look at the \"shape\" of the step response\n", "print(f\"{stepresp.time.shape=}\")\n", "print(f\"{stepresp.inputs.shape=}\")\n", "print(f\"{stepresp.states.shape=}\")\n", "print(f\"{stepresp.outputs.shape=}\")" ] }, { "cell_type": "markdown", "id": "beecce7f", "metadata": { "id": "FDfZkyk1ly0T" }, "source": [ "### Forced response\n", "\n", "To compute the response to an input, using the convolution equation, we can use the `forced_response` function:" ] }, { "cell_type": "code", "execution_count": 11, "id": "33d8291a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = np.linspace(0, 50, 500)\n", "U1 = np.cos(T)\n", "U2 = np.sin(3 * T)\n", "\n", "resp1 = ct.forced_response(sys, T, U1)\n", "resp2 = ct.forced_response(sys, T, U2)\n", "resp3 = ct.forced_response(sys, T, U1 + U2)\n", "\n", "# Plot the individual responses\n", "resp1.sysname = 'U1'; resp1.plot(color='b')\n", "resp2.sysname = 'U2'; resp2.plot(color='g')\n", "resp3.sysname = 'U1 + U2'; resp3.plot(color='r');" ] }, { "cell_type": "code", "execution_count": 12, "id": "10a05cb1", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show that the system response is linear\n", "cplt = resp3.plot(label=\"G(U1 + U2)\")\n", "cplt.axes[0, 0].plot(resp1.time, resp1.outputs[0] + resp2.outputs[0], 'k--', label=\"G(U1) + G(U2)\")\n", "cplt.axes[1, 0].plot(resp1.time, resp1.outputs[1] + resp2.outputs[1], 'k--')\n", "cplt.axes[2, 0].plot(resp1.time, resp1.inputs[0] + resp2.inputs[0], 'k--')\n", "cplt.axes[0, 0].legend(loc='upper right', fontsize='x-small');" ] }, { "cell_type": "code", "execution_count": 13, "id": "c03f2556", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show that the forced response from non-zero initial condition is not linear\n", "X0 = [1, 0, 0, 0]\n", "resp1 = ct.forced_response(sys, T, U1, X0=X0)\n", "resp2 = ct.forced_response(sys, T, U2, X0=X0)\n", "resp3 = ct.forced_response(sys, T, U1 + U2, X0=X0)\n", "\n", "cplt = resp3.plot(label=\"G(U1 + U2)\")\n", "cplt.axes[0, 0].plot(resp1.time, resp1.outputs[0] + resp2.outputs[0], 'k--', label=\"G(U1) + G(U2)\")\n", "cplt.axes[1, 0].plot(resp1.time, resp1.outputs[1] + resp2.outputs[1], 'k--')\n", "cplt.axes[2, 0].plot(resp1.time, resp1.inputs[0] + resp2.inputs[0], 'k--')\n", "cplt.axes[0, 0].legend(loc='upper right', fontsize='x-small');" ] }, { "cell_type": "markdown", "id": "891204fe", "metadata": { "id": "mo7hpvPQkKke" }, "source": [ "### Frequency response" ] }, { "cell_type": "code", "execution_count": 14, "id": "b2966a99", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Manual computation of the frequency response\n", "resp = ct.input_output_response(sys, T, np.sin(1.35 * T))\n", "\n", "cplt = resp.plot(\n", " plot_inputs='overlay', \n", " legend_map=np.array([['lower left'], ['lower left']]),\n", " label=[['q1', 'u[0]'], ['q2', None]])" ] }, { "cell_type": "markdown", "id": "75fa2659", "metadata": { "id": "muqeLlJJ6s8F" }, "source": [ "The magnitude and phase of the frequency response is controlled by the transfer function,\n", "\n", "$$\n", "G(s) = C (sI - A)^{-1} B + D\n", "$$\n", "\n", "which can be computed using the `ss2tf` function:" ] }, { "cell_type": "code", "execution_count": 15, "id": "443764af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ": u to q1, q2\n", "Inputs (1): ['u[0]']\n", "Outputs (2): ['q1', 'q2']\n", "\n", "Input 1 to output 1:\n", "\n", " 4\n", " -------------------------------------\n", " s^4 + 0.2 s^3 + 8.01 s^2 + 0.8 s + 12\n", "\n", "Input 1 to output 2:\n", "\n", " 2 s^2 + 0.2 s + 8\n", " -------------------------------------\n", " s^4 + 0.2 s^3 + 8.01 s^2 + 0.8 s + 12\n" ] } ], "source": [ "try:\n", " G = ct.ss2tf(sys, name='u to q1, q2')\n", "except ct.ControlMIMONotImplemented:\n", " # Create SISO transfer functions, in case we don't have slycot\n", " G = ct.ss2tf(sys[0, 0], name='u to q1')\n", "print(G)" ] }, { "cell_type": "code", "execution_count": 16, "id": "fd2df9a9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G(1.35j)=array([[3.33005647-2.70686327j],\n", " [3.80831226-2.72231858j]])\n", "Gain: [[4.29143157]\n", " [4.681267 ]]\n", "Phase: [[-0.6825322 ]\n", " [-0.62061375]] ( [[-39.10621449]\n", " [-35.55854848]] deg)\n" ] } ], "source": [ "# Gain and phase for the simulation above\n", "from math import pi\n", "val = G(1.35j)\n", "print(f\"{G(1.35j)=}\")\n", "print(f\"Gain: {np.absolute(val)}\")\n", "print(f\"Phase: {np.angle(val)}\", \" (\", np.angle(val) * 180/pi, \"deg)\")" ] }, { "cell_type": "code", "execution_count": 17, "id": "bf710831", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "G(0)=array([[0.33333333+0.j],\n", " [0.66666667+0.j]])\n", "Final value of step response: 0.33297541813724874\n" ] } ], "source": [ "# Gain and phase at s = 0 (= steady state step response)\n", "print(f\"{G(0)=}\")\n", "print(\"Final value of step response:\", stepresp.outputs[0, 0, -1])" ] }, { "cell_type": "markdown", "id": "5108e6c6", "metadata": { "id": "I9eFoXm92Jgj" }, "source": [ "The frequency response across all frequencies can be computed using the `frequency_response` function:" ] }, { "cell_type": "code", "execution_count": 18, "id": "41429d56", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "freqresp = ct.frequency_response(sys)\n", "cplt = freqresp.plot()" ] }, { "cell_type": "markdown", "id": "5ec3b52c", "metadata": { "id": "pylQb07G2cqe" }, "source": [ "By default, frequency responses are plotted using a \"Bode plot\", which plots the log of the magnitude and the (linear) phase against the log of the forcing frequency.\n", "\n", "You can also call the Bode plot command directly, and change the way the data are presented:" ] }, { "cell_type": "code", "execution_count": 19, "id": "456ad3a9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cplt = ct.bode_plot(sys, overlay_outputs=True)" ] }, { "cell_type": "markdown", "id": "190f59c6", "metadata": { "id": "I_LTjP2J6gqx" }, "source": [ "Note the \"dip\" in the frequency response for $q_2$ at frequency 2 rad/sec, which corresponds to a \"zero\" of the transfer function." ] }, { "cell_type": "markdown", "id": "2f27f767-e012-45f9-8b76-cc040cfc89e2", "metadata": {}, "source": [ "## Example 2: Trajectory tracking for a kinematic vehicle model\n", "\n", "This example illustrates the use of python-control to model, analyze, and design nonlinear control systems.\n", "\n", "We make use of a simple model for a vehicle navigating in the plane, known as the \"bicycle model\". The kinematics of this vehicle can be written in terms of the contact point $(x, y)$ and the angle $\\theta$ of the vehicle with respect to the horizontal axis:\n", "\n", "\n", "\n", " \n", " \n", "\n", "
\n", "$$\n", "\\large\\begin{aligned}\n", " \\dot x &= \\cos\\theta\\, v \\\\\n", " \\dot y &= \\sin\\theta\\, v \\\\\n", " \\dot\\theta &= \\frac{v}{l} \\tan \\delta\n", "\\end{aligned}\n", "$$\n", "
\n", "\n", "The input $v$ represents the velocity of the vehicle and the input $\\delta$ represents the turning rate. The parameter $l$ is the wheelbase." ] }, { "cell_type": "markdown", "id": "novel-geology", "metadata": {}, "source": [ "### System Definiton\n", "\n", "We define the dynamics of the system that we are going to use for the control design. The dynamics of the system will be of the form\n", "\n", "$$\n", "\\dot x = f(x, u), \\qquad y = h(x, u)\n", "$$\n", "\n", "where $x$ is the state vector for the system, $u$ represents the vector of inputs, and $y$ represents the vector of outputs.\n", "\n", "The python-control package allows definition of input/output systems using the `InputOutputSystem` class and its various subclasess, including the `NonlinearIOSystem` class that we use here. A `NonlinearIOSystem` object is created by defining the update law ($f(x, u)$) and the output map ($h(x, u)$), and then calling the factory function `ct.nlsys`.\n", "\n", "For the example in this notebook, we will be controlling the steering of a vehicle, using a \"bicycle\" model for the dynamics of the vehicle. A more complete description of the dynamics of this system are available in [Example 3.11](https://fbswiki.org/wiki/index.php/System_Modeling) of [_Feedback Systems_](https://fbswiki.org/wiki/index.php/FBS) by Astrom and Murray (2020)." ] }, { "cell_type": "code", "execution_count": 20, "id": "sufficient-douglas", "metadata": {}, "outputs": [], "source": [ "# Define the update rule for the system, f(x, u)\n", "# States: x, y, theta (postion and angle of the center of mass)\n", "# Inputs: v (forward velocity), delta (steering angle)\n", "def vehicle_update(t, x, u, params):\n", " # Get the parameters for the model\n", " a = params.get('refoffset', 1.5) # offset to vehicle reference point\n", " b = params.get('wheelbase', 3.) # vehicle wheelbase\n", " maxsteer = params.get('maxsteer', 0.5) # max steering angle (rad)\n", "\n", " # Saturate the steering input\n", " delta = np.clip(u[1], -maxsteer, maxsteer)\n", " alpha = np.arctan2(a * np.tan(delta), b)\n", "\n", " # Return the derivative of the state\n", " return np.array([\n", " u[0] * np.cos(x[2] + alpha), # xdot = cos(theta + alpha) v\n", " u[0] * np.sin(x[2] + alpha), # ydot = sin(theta + alpha) v\n", " (u[0] / a) * np.sin(alpha) # thdot = v sin(alpha) / a\n", " ])\n", "\n", "# Define the readout map for the system, h(x, u)\n", "# Outputs: x, y (planar position of the center of mass)\n", "def vehicle_output(t, x, u, params):\n", " return x\n", "\n", "# Default vehicle parameters (including nominal velocity)\n", "vehicle_params={'refoffset': 1.5, 'wheelbase': 3, 'velocity': 15, \n", " 'maxsteer': 0.5}\n", "\n", "# Define the vehicle steering dynamics as an input/output system\n", "vehicle = ct.nlsys(\n", " vehicle_update, vehicle_output, states=3, name='vehicle',\n", " inputs=['v', 'delta'], outputs=['x', 'y', 'theta'], params=vehicle_params)" ] }, { "cell_type": "markdown", "id": "intellectual-democrat", "metadata": {}, "source": [ "### Open loop simulation\n", "\n", "After these operations, the `vehicle` object references the nonlinear model for the system. This system can be simulated to compute a trajectory for the system. Here we command a velocity of 10 m/s and turn the wheel back and forth at one Hertz." ] }, { "cell_type": "code", "execution_count": 21, "id": "likely-hindu", "metadata": {}, "outputs": [], "source": [ "# Define the time interval that we want to use for the simualation\n", "timepts = np.linspace(0, 10, 1000)\n", "\n", "# Define the inputs\n", "U = [\n", " 10 * np.ones_like(timepts), # velocity\n", " 0.1 * np.sin(timepts * 2*np.pi) # steering angle\n", "]\n", "\n", "# Simulate the system dynamics, starting from the origin\n", "response = ct.input_output_response(vehicle, timepts, U, 0)\n", "time, outputs, inputs = response.time, response.outputs, response.inputs" ] }, { "cell_type": "markdown", "id": "dutch-charm", "metadata": {}, "source": [ "We can plot the results using standard `matplotlib` commands:" ] }, { "cell_type": "code", "execution_count": 22, "id": "piano-algeria", "metadata": {}, "outputs": [ { "data": { "image/png": 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qV6K6jokdEZGDCCFw9Xoxcm8Uo7DECH9vLwToPRHi5231WHI3iozYcyoLa/anYduxSzAJuXxs18Z4YWQ7NAzUO+AvICJXo3pi9/XXX1v9nqFDh8LPz0/tUIiInEoIgd/P52D7sUz8/Gc2jmXkIrewpMJ6Oh1Q398HDQN80DDQBw0D9QgNkPcNA+XyYqPA1etFSM2+jsMXc3Ew9SoMJabSbQxs0wizhrRG5+h6TvwLiai20wkhhJob9PCw7ipUp9Ph5MmTaN68uZphVCk3NxchISHIyclBcDAbFxOR/fINJfhifxo+25eKk5n5FV4P1HtB7+WBG8VGXC8y2vw5jev5YURcBO7vEYOWYYH2hEzkdnh+lxxSFZuRkYGwsDCL1g0K4nyFROSaCouN+OSXc1i+409kFxQBAHy9PXBb2zD0b9UInaPrITY0oNw4ckaTLInLzi9Cdr4BWQXyPju/CNkFBmT9b7m3pwcaBPggPNgX7SOD0SWmHlqFBUKn02n15xKRC1A9sZs8ebJV1aoTJkywOLNevnw5li9fjrNnzwIAOnTogPnz52PEiBG2hEpEZLO9f2Zh7voUnMu+DgBo1tAfj/WNxV1dGiPEz7vK93l66BAaqEdooB4AL2yJSF2qV8U60jfffANPT0+0bNkSAPDRRx/hzTffRFJSEjp06GDRNlhUS0T2yC0sxqvfHsWa39IAAOHBeswa0hr3xDeBt5UdIohIPTy/Sw5P7AoLC3Ho0CFkZmbCZDKVe+2uu+6ye/sNGjTAm2++iccee8yi9fmPJyJbHbmYi6c+PVBaSjehVwyevb0tgn2rLqEjIufg+V1y6HAnP/zwAyZNmoSsrKwKr+l0OhiNtjciNhqN+PLLL1FQUIDevXtXuZ7BYIDBYCh9npuba/NnElHd9cVvaXhx4x8wlJjQuJ4f/jG+C3rENtA6LCKichxabzBt2jSMGzcO6enpMJlM5W62JnUpKSkIDAyEXq/HlClTsGHDBrRv377K9RMSEhASElJ6i46OtvXPIaI6qLDYiOfWHsKzaw/BUGLCwDaN8O30vkzqiKhWcmhVbHBwMJKSktCiRQvVtllUVITU1FRcu3YN69atw7///W/s3LmzyuSushK76OjoOl9US0Q1S82+jqc+PYDDF3Oh0wGzh7TG1EEt4eHBnqlEtQ2rYiWHVsXee++92LFjh6qJnY+PT2nnie7du2P//v345z//iffff7/S9fV6PfR6jshORNZJPHIJs79IRl5hCRoE+ODt+7uib6tQrcMiIqqWQxO7d955B+PGjcPu3bvRsWNHeHuXb2D8zDPP2P0ZQohyJXJERPYoNprw5ubjWLHrNACgW0w9vPtQN0SGcHYcIqr9HJrYrV69Gps3b4afnx927NhRbmBNnU5ndWL3/PPPY8SIEYiOjkZeXh4+//xz7NixAz/88IPaoRNRHXT+6nVMW52E5LRrAIBHbm2GuSPawceLw5gQkWtwaGL3wgsvYNGiRZgzZ47VU41V5tKlS5g4cSLS09MREhKCTp064YcffsDQoUNViJaI6iqTSeDz/WlI+P4o8gpLEOTrhTfv7Yzb4yK0Do2IyCoOTeyKioowfvx4VZI6APjggw9U2Q4RkeL3tGt49buj2Hf2CgCgS3Q9/OuBrohu4K9xZERE1nNoYjd58mSsWbMGzz//vCM/hojIKkaTwK4Tl/HfX85h27FMAIC/jyf+MqwNHu7TDJ7s9UpELsqhiZ3RaMQbb7yBzZs3o1OnThU6TyxZssSRH09ELkwIgWMZefjpVBaOpufhbHYB8gqLYSgxwc/bE4F6L9Tz90aDAB/UD/BBwwAfNAjQ/+/efPPQ6XD1ehHScwpxPCMP+89ewa4Tl5FdUAQA8NABY7s2wayhrdCkPkvpiMi1OTSxS0lJQdeuXQEAf/zxR7nXynakICJSZOQU4rN9qVh74DwuXLvhsM+p7++Nu7s1wUM9Y9C8UaDDPoeIyJkcmtht377dkZsnIjeSkVOIZTtO4fN9aSgyynml/bw90btFQ3SNrofmjQJR398bPl4euFFsRH5hCa5eL8aVAgOyC4pwtaAI2QVFuPK/W3ZBEYpK5Ha8PHRoFKRHq/AgxEUFo1+rRohvWp+9XYnI7Tg0sSMiqkmx0YT/7DmDpVtP4kaxnGrwlmb1MaFXUwzvEAFfb0+btiuEQEGREUIIBOq9WEtARHWC6ondoUOHEBcXZ3FP2MOHD6NNmzbw8mKOSVTXHDp/Dc+tS8HR9FwAQHzT+vjLsNbo08L+GR50Oh0C9TyuEFHdovpRr2vXrsjIyECjRo0sWr93795ITk5G8+bN1Q6FiGopIQQ+3HsWizcdRbFRoJ6/N+bd0Q73xjdhyRoRkR1UT+yEEHjxxRfh729Z77KioiK1QyCiWiyvsBhz1qXgu5R0AMCIuAi8MiYODQM5pzMRkb1UT+z69++P48ePW7x+79694efHORiJ6oJjGbl46pODOJNVAG9PHZ6/ox0e7tOMpXRERCpRPbHbsWOH2pskIjew9sB5vLAxBYXFJkSF+OKdh7qhW0x9rcMiInIrbFlMRA5VWGzES18dxprf0gAA/Vs3wtLxXdAgwEfjyIiI3A8TOyJymNOX8zF1dRKOpudCpwNmD2mNqYNawoNTdhEROQQTOyJyiK+SL+D59SkoKDKiYYAP/nl/V/RtZf8wJkREVDWHJnZpaWmIjo525EcQUS1z7XoRXv72KNYdPA8A6BnbAP+8vysiQnw1joyIyP05dD6dtm3b4sUXX0RBQYEjP4aIagGTSeCr5AsYsmQn1h08D50OmDG4FVY/0YtJHRGRkzg0sUtMTMSWLVvQqlUrrFq1ypEfRUQaKTaa8MMf6bjzX3sw4/NkZOUXoWVYIL58sjdmDW0NT7anIyJyGp0QQjj6Qz7++GPMmzcPoaGh+Mc//oGBAwc6+iOrlJubi5CQEOTk5CA4OFizOIic7XKeAUfSc3EqMx9Z+QYUGErg5eEBHy8PhAb6IDLEDxEheoQH+yIsyBc+XlVf9+UWFiMp9Rp2HM/Et4fScTnPAAAI1Hvhyf7N8X8DmkPvZdscr0REtuD5XXJKYgcAN27cQEJCAt566y0MGzYMb775Jlq2bGnVNhISErB+/XocO3YMfn5+6NOnD15//XW0adPG4m3wH091SdqV6/jytzQkHs0snY/VEjod0DBAj4gQPYJ9veHt6QGTEMi5UYzLeQak5xSWWz800Afjb4nG432boz6HMSEiDfD8LjmtV6wQAsOGDUNeXh7efvttfP/995g6dSoWLFiAoKAgi7axc+dOTJ06FbfccgtKSkowb948DBs2DEeOHEFAQICD/wIi1/HHhRws3XoCPx7LhHLpptMBsaEBaBcRjLBgPQL1XigxCRQWG5GZZ8ClnEJk5BYiM9eAIqMJWfkGZOUbqvyMxvX80LdlKG5rF4ZBbcKqLeEjIiLncGiJ3XvvvYf9+/dj//79OHr0KDw9PdGpUyf06tULXbp0waeffooTJ05gw4YN6N69u9Xbv3z5MsLCwrBz507079/fovcwoyd3dvHaDSzedBTfHkovXdavVSjGdGmMQW3DLBoUWAiBKwVFyMgtxKXcQuQVlqDYKKADUM/fG/UDfNAiNBAh/t4O/EuIiKzD87vk0MQuOjoavXr1Kr11794den35ib4XL16M1atX448//rB6+6dOnUKrVq2QkpKCuLg4i97Dfzy5I5NJ4LP9qUjYdAz5hhLodMBdnaPwzOBWaNEoUOvwiIgcjud3yWlt7Kpy6dIlREVFwWg0WvU+IQRGjx6Nq1evYvfu3VWuZzAYYDCYq5Nyc3MRHR1d5//x5D4ycwsx4/Nk/Hw6GwAQ37Q+Xh4dh/ZR/H4TUd3BxE7SfOaJsLAwbNu2zer3TZs2DYcOHcKePXuqXS8hIQELFy60NTyiWu3X09mYujoJWfkG+Hl74tnb22BS72YcYoSIqI7SvMTOFtOnT8fGjRuxa9cuxMbGVrsuS+zIHQkhsHL3abz+w3EYTQJtI4KwfEI8YkPZiYiI6iaW2Emal9hZQwiB6dOnY8OGDdixY0eNSR0A6PX6Cu36iFxZXmExnl17CN//kQEAGNu1MRaP7Qg/H44bR0RU17lUYjd16lSsXr0aX331FYKCgpCRIU9sISEh8PPz0zg6Isc7npGHpz45gNNZBfD21GH+qA6Y0DMGOh2rXomIyMWqYqs6ea1atQoPP/ywRdtgUS25qrUHzuOFjSkoLDYhMsQXyx7qhq4x9bUOi4ioVuD5XXKpEjsXykGJVFNYbMRLXx3Gmt/SAMhx6ZaO74KGgWxiQERE5blUYkdU1ySnXcPfvvwdJzPzodMBs4a0xtRBLdnrlYiIKsXEjqgWyi0sxr9+PIkP9pyBSQChgXr88/4uuLVlqNahERFRLcbEjqgWuVFkxOf7U/H2jydx9XoxAGBMlyi8NKoD6lswHRgREdVtTOyIbCCEQGaeAVn5Bly7XgyjSUDv5YEAvRfCg33RMMAHHhZWl5pMAr+fv4ZNKen48sB5XPtfQteiUQDmjWyH29qGO/JPISIiN8LEjshCqdnXseVIBnaeuIxD53OQc6O4ynW9PHQIC9IjPMQXEcG+CP/fTe/lAS9PHfIKS5CVb8DpywU4dP5aaekcADSp74enBrbA+O7R8PL0cMafRkREboKJHVE1hBDYdiwTq346iz2nssq95umhQ4MAH9T394anhweKSozI/V/CVmISuJhTiIs5hRZ9ToCPJwa2DcOYLo1xW9swdo4gIiKbMLEjqsKvp7Px+g/HcDD1GgBApwN6N2+Iwe3C0TO2AVqFB0LvVXG2hxKjCZfzDcjIKcSl3EJk5BQiPbcQl/MMKDYKlBhNCNB7oVGQHlH1/NCxcQjaRQZVui0iIiJrMLEjusm160V4+dujWHfwPADA19sDk3o3w8ReTRHdwL/G93t5eiAyxA+RIZwNhYiInIuJHVEZO45n4q9fHkJWvgE6HfBAjxjMHNwKYcG+WodGRERUIyZ2RACMJoF/bj2Bf20/BSGAlmGBeP2eTohvyim7iIjIdTCxozovO9+AmWuSsfuk7BwxsVdTvHBnO7Z5IyIil8PEjuq0A+euYtrqg0jPKYSftydeu6cjRndprHVYRERENmFiR3WSEAIf7j2LV787ihKTQPNGAXhvQjxahwdpHRoREZHNmNhRnZNbWIy561LwXUo6AGBkp0i8fk8nBOr5cyAiItfGMxnVKX9cyMHU1QdxLvs6vD11mDuiHR65tRl0Og4ITEREro+JHdUJRpOsen39+2MoMprQuJ4f3n2oG7pE19M6NCIiItUwsSO3dyozH8+tO4QD564CAIa0C8Pfx3VGPX8fjSMjIiJSFxM7cluZeYV4+8eT+GxfGowmgUC9F+aMaIuHesaw6pWIiNySh9YBWGvXrl0YNWoUoqKioNPpsHHjRq1DolpECIGU8zmYu/4Q+r+xHZ/8kgqjSWBIuzBsntUfE3o1ZVJHRERuy+VK7AoKCtC5c2c88sgjuOeee7QOh2x0paAIu05cRnLaNRxNz0VmngHZ+QYYSkzw9vSA3ssDjYL0aBSkR3iwL8KD5X1YkC8iQnwR4ucNHYASkwmZeQacy76OQ+evYdeJLFy4dqP0c7pE18OcEW3Rq3lD7f5YIiIiJ3G5xG7EiBEYMWKE1mGQDYpKTNh8OAOf7UvFL6ezYRKVr2coMSHfAGQXFOFYRp7Vn+Pr7YHB7cIxuXcz3NKsPkvoiIioznC5xI5cj9EksCHpAv6ReKJcaVq7yGD0adEQ7SODEd3AHw0CvOHr7YkSo8CNYiMu5xlwKbcQmXkGZOYW4lKuARm5hcjMLUTOjWLodDp46IBGQXpE1fNDh6gQxDetj74tQ+Hnw+nAiIio7nH7xM5gMMBgMJQ+z83N1TCauic57RrmrDtUWvIWGqjHgz2iMa57NKIb+Ff73naRzoiQiIjIfbh9YpeQkICFCxdqHUadU1hsxN83H8d/fjoDkwBC/LwxZUALPNynGUvTiIiIHMTtE7u5c+di9uzZpc9zc3MRHR2tYUTu71x2AZ7+9CAOX5Slo2O7Nsb8O9ujfgDHjSMiInIkt0/s9Ho99Hq91mHUGZsPZ+CvX/6OvMISNAjwwd/HdcJtbcO1DouIiKhOcLnELj8/H6dOnSp9fubMGSQnJ6NBgwaIiYnRMLK6rdhowpubj2PFrtMAgPim9fHOg10RGeKncWRERER1h8sldr/99hsGDRpU+lypZp08eTI+/PBDjaKq2zJzCzFtdRL2nb0CAHi8byyeG9EW3p4uN/41ERGRS3O5xG7gwIEQoooB0Mjpfj2djamrk5CVb0Cg3gt/H9cJt8exOysREZEWXC6xo9pBCIGVu0/j9R+Ow2gSaBMehOUTuqF5o0CtQyMiIqqzmNiR1TJzC/HcukPYfvwyANnr9dWxcfD34deJiIhISzwTk8WEEPj2UDpe/OoPXLteDB8vD7w4sh0m9GrKabuIiIhqASZ2ZJHjGXl45bsj2H0yCwAQ1zgYS+7rgtbhQRpHRkRERAomdlSto+m5WLnrNDYmX4BJAD6eHpgysAWm39aSvV6JiIhqGSZ2buDa9SIkpV5DyoUcXLh6A9kFBpj+13E4xM8bDQJ80DDQB2FBvggL0qNRkB5hQXrU9/eBh0f5KtR8QwmOpudi/9kr+D4lAykXckpfu71DBJ6/ox1iGlY/xysRERFpg4mdi7peVIINSRfwze8X8euZK7BlBBhvTx1CA/Xw8fJAiVEgr7AYuYUl5dbx9NDh9rgIPNm/OTo1qadO8EREROQQTOxcTM71Ynzw0xl8/PNZXLteXLq8eaMAdImuh6YNAtAoSA8vDx0EBHJuFCM7vwiX8w24nCdvmXkGXCkoQrFRID2nsMJnhAXp0S2mPvq2CsUdHSPRgHO8EhERuQQmdi7CaBL44rc0vLn5OK4UFAEAmjb0x0M9Y3BHx0g0qW9d9WhRiQlZ/0v2SkwCnh46BPh4IrKeHwL1/FoQERG5Ip7BXUB6zg1MX52E385dBQC0DAvE7KGtMbxDBDw9bBtmxMfLA1H1/BBVj3O5EhERuQsmdrXczhOXMWtNMq4UFCFQ74VZQ1tjUu+m7JFKREREFTCxq6WMJoGlW0/gne2nIATQISoYyx7qhqYNA7QOjYiIiGopJna1UGZeIWZ8loyfT2cDAB7qGYMX72wPX29PjSMjIiKi2oyJXS3z85/ZeObzJFzOM8DfxxMJd3fE6C6NtQ6LiIiIXAATu1rCZBJYvvNPvLXlOEwCaB0eiGUPxaNlWKDWoREREZGLYGJXC2TnGzD7i9+x88RlAMA93Zrg5TEd4O/Dfw8RERFZjpmDxvaczMLsL5KRmWeA3ssDL4+Jw33do7UOi4iIiFwQEzuNFBYb8Y/EE1ix+zSEkGPT/euBrmgXGax1aEREROSiXHIwtGXLliE2Nha+vr6Ij4/H7t27tQ7JKjtPXMbwpbvw/i6Z1D3YMwbfTOvLpI6IiIjs4nIldmvWrMHMmTOxbNky3HrrrXj//fcxYsQIHDlyBDExMVqHV60D565i6dYT2H0yCwAQEeyLRaM7YFiHCI0jIyIiInegE0IIrYOwRs+ePdGtWzcsX768dFm7du0wZswYJCQk1Pj+3NxchISEICcnB8HBji8hO5ddgO3HMrH24Hn8cSEXAODlocOk3s0we1hrzstKRESkAmef32srl8oqioqKcODAAcyZM6fc8mHDhmHv3r0aRSVl5Rvwnz1nkG8oQb6hBJm5Bpy4lIfMPEPpOj6eHhjTNQrTb2uF6Ab+GkZLRERE7silErusrCwYjUaEh4eXWx4eHo6MjIxK32MwGGAwmJOr3Nxch8R2o8iIZTv+rLDcy0OH+Kb1MaxDBMZ2bYwGAT4O+XwiIiIil0rsFDqdrtxzIUSFZYqEhAQsXLjQ4THVD/DBw32aIdjXC4G+Xqjn74NWYYFoHR6EAFa3EhERkRO4VMYRGhoKT0/PCqVzmZmZFUrxFHPnzsXs2bNLn+fm5iI6Wv1x4gL1XlhwVwfVt0tERERkKZca7sTHxwfx8fFITEwstzwxMRF9+vSp9D16vR7BwcHlbkRERETuyKVK7ABg9uzZmDhxIrp3747evXtjxYoVSE1NxZQpU7QOjYiIiEhTLpfYjR8/HtnZ2Vi0aBHS09MRFxeHTZs2oWnTplqHRkRERKQplxvHzl4c54aIiMj98PwuuVyJnb2UPNZRw54QERGR8ynn9TpWXlVBnUvs8vLyAMAhPWOJiIhIW3l5eQgJCdE6DM3UuapYk8mEixcvIigoqMqx72ylDKWSlpZWp4uBnYX723m4r52L+9u5uL+dy1H7WwiBvLw8REVFwcPDpQb9UFWdK7Hz8PBAkyZNHPoZHFbFubi/nYf72rm4v52L+9u5HLG/63JJnaLuprREREREboaJHREREZGbYGKnIr1ej5deegl6vV7rUOoE7m/n4b52Lu5v5+L+di7ub8eqc50niIiIiNwVS+yIiIiI3AQTOyIiIiI3wcSOiIiIyE0wsSMiIiJyE0zsVLJs2TLExsbC19cX8fHx2L17t9YhuYWEhATccsstCAoKQlhYGMaMGYPjx4+XW0cIgQULFiAqKgp+fn4YOHAgDh8+rFHE7iMhIQE6nQ4zZ84sXcZ9ra4LFy5gwoQJaNiwIfz9/dGlSxccOHCg9HXub/WUlJTghRdeQGxsLPz8/NC8eXMsWrQIJpOpdB3ub9vt2rULo0aNQlRUFHQ6HTZu3FjudUv2rcFgwPTp0xEaGoqAgADcddddOH/+vBP/CjchyG6ff/658Pb2FitXrhRHjhwRM2bMEAEBAeLcuXNah+byhg8fLlatWiX++OMPkZycLEaOHCliYmJEfn5+6TqvvfaaCAoKEuvWrRMpKSli/PjxIjIyUuTm5moYuWvbt2+faNasmejUqZOYMWNG6XLua/VcuXJFNG3aVDz88MPi119/FWfOnBFbt24Vp06dKl2H+1s9r7zyimjYsKH49ttvxZkzZ8SXX34pAgMDxdKlS0vX4f623aZNm8S8efPEunXrBACxYcOGcq9bsm+nTJkiGjduLBITE8XBgwfFoEGDROfOnUVJSYmT/xrXxsROBT169BBTpkwpt6xt27Zizpw5GkXkvjIzMwUAsXPnTiGEECaTSURERIjXXnutdJ3CwkIREhIi3nvvPa3CdGl5eXmiVatWIjExUQwYMKA0seO+Vtdzzz0n+vbtW+Xr3N/qGjlypHj00UfLLbv77rvFhAkThBDc32q6ObGzZN9eu3ZNeHt7i88//7x0nQsXLggPDw/xww8/OC12d8CqWDsVFRXhwIEDGDZsWLnlw4YNw969ezWKyn3l5OQAABo0aAAAOHPmDDIyMsrtf71ejwEDBnD/22jq1KkYOXIkhgwZUm4597W6vv76a3Tv3h3jxo1DWFgYunbtipUrV5a+zv2trr59++LHH3/EiRMnAAC///479uzZgzvuuAMA97cjWbJvDxw4gOLi4nLrREVFIS4ujvvfSl5aB+DqsrKyYDQaER4eXm55eHg4MjIyNIrKPQkhMHv2bPTt2xdxcXEAULqPK9v/586dc3qMru7zzz/HwYMHsX///gqvcV+r6/Tp01i+fDlmz56N559/Hvv27cMzzzwDvV6PSZMmcX+r7LnnnkNOTg7atm0LT09PGI1GvPrqq3jggQcA8PvtSJbs24yMDPj4+KB+/foV1uG51DpM7FSi0+nKPRdCVFhG9pk2bRoOHTqEPXv2VHiN+99+aWlpmDFjBrZs2QJfX98q1+O+VofJZEL37t2xePFiAEDXrl1x+PBhLF++HJMmTSpdj/tbHWvWrMEnn3yC1atXo0OHDkhOTsbMmTMRFRWFyZMnl67H/e04tuxb7n/rsSrWTqGhofD09KxwRZGZmVnh6oRsN336dHz99dfYvn07mjRpUro8IiICALj/VXDgwAFkZmYiPj4eXl5e8PLyws6dO/H222/Dy8urdH9yX6sjMjIS7du3L7esXbt2SE1NBcDvttr+9re/Yc6cObj//vvRsWNHTJw4EbNmzUJCQgIA7m9HsmTfRkREoKioCFevXq1yHbIMEzs7+fj4ID4+HomJieWWJyYmok+fPhpF5T6EEJg2bRrWr1+Pbdu2ITY2ttzrsbGxiIiIKLf/i4qKsHPnTu5/Kw0ePBgpKSlITk4uvXXv3h0PPfQQkpOT0bx5c+5rFd16660Vhu45ceIEmjZtCoDfbbVdv34dHh7lT3menp6lw51wfzuOJfs2Pj4e3t7e5dZJT0/HH3/8wf1vLc26bbgRZbiTDz74QBw5ckTMnDlTBAQEiLNnz2odmst76qmnREhIiNixY4dIT08vvV2/fr10nddee02EhISI9evXi5SUFPHAAw9wiAKVlO0VKwT3tZr27dsnvLy8xKuvvipOnjwpPv30U+Hv7y8++eST0nW4v9UzefJk0bhx49LhTtavXy9CQ0PFs88+W7oO97ft8vLyRFJSkkhKShIAxJIlS0RSUlLpsF+W7NspU6aIJk2aiK1bt4qDBw+K2267jcOd2ICJnUreffdd0bRpU+Hj4yO6detWOhwH2QdApbdVq1aVrmMymcRLL70kIiIihF6vF/379xcpKSnaBe1Gbk7suK/V9c0334i4uDih1+tF27ZtxYoVK8q9zv2tntzcXDFjxgwRExMjfH19RfPmzcW8efOEwWAoXYf723bbt2+v9Fg9efJkIYRl+/bGjRti2rRpokGDBsLPz0/ceeedIjU1VYO/xrXphBBCm7JCIiIiIlIT29gRERERuQkmdkRERERugokdERERkZtgYkdERETkJpjYEREREbkJJnZEREREboKJHREREZGbYGJHRERE5CaY2BERERG5CSZ2ROQ2Bg4cCJ1OB51Oh+TkZLu29fDDD5dua+PGjarER0TkaEzsiMitPPHEE0hPT0dcXJxd2/nnP/+J9PR0laIiInIOL60DICJSk7+/PyIiIuzeTkhICEJCQlSIiIjIeVhiR0S11meffQZfX19cuHChdNnjjz+OTp06IScnx+LtDBw4ENOnT8fMmTNRv359hIeHY8WKFSgoKMAjjzyCoKAgtGjRAt9//70j/gwiIqdhYkdEtdb999+PNm3aICEhAQCwcOFCbN68Gd9//73VpWkfffQRQkNDsW/fPkyfPh1PPfUUxo0bhz59+uDgwYMYPnw4Jk6ciOvXrzviTyEicgomdkRUa+l0Orz66qv497//jcWLF+Of//wnfvjhBzRu3NjqbXXu3BkvvPACWrVqhblz58LPzw+hoaF44okn0KpVK8yfPx/Z2dk4dOiQA/4SIiLnYBs7IqrV7rzzTrRv3x4LFy7Eli1b0KFDB5u206lTp9LHnp6eaNiwITp27Fi6LDw8HACQmZlpX8BERBpiiR0R1WqbN2/GsWPHYDQaS5MvW3h7e5d7rtPpyi3T6XQAAJPJZPNnEBFpjYkdEdVaBw8exLhx4/D+++9j+PDhePHFF7UOiYioVmNVLBHVSmfPnsXIkSMxZ84cTJw4Ee3bt8ctt9yCAwcOID4+XuvwiIhqJZbYEVGtc+XKFYwYMQJ33XUXnn/+eQBAfHw8Ro0ahXnz5mkcHRFR7cUSOyKqdRo0aICjR49WWP7VV1/ZtL0dO3ZUWHb27NkKy4QQNm2fiKi2YIkdEbmVZcuWITAwECkpKXZtZ8qUKQgMDFQpKiIi59AJXqISkZu4cOECbty4AQCIiYmBj4+PzdvKzMxEbm4uACAyMhIBAQGqxEhE5EhM7IiIiIjcBKtiiYiIiNwEEzsiIiIiN8HEjoiIiMhNMLEjIiIichNM7IiIiIjcBBM7IiIiIjfBxI6IiIjITTCxIyIiInITTOyIiIiI3AQTOyIiIiI3wcSOiIiIyE0wsSMiIiJyE0zsiIiIiNwEEzsiIiIiN8HEjoiIiMhNMLEjIiIichO1KrHbtWsXRo0ahaioKOh0OmzcuLH0teLiYjz33HPo2LEjAgICEBUVhUmTJuHixYvaBUxERERUi9SqxK6goACdO3fGO++8U+G169ev4+DBg3jxxRdx8OBBrF+/HidOnMBdd92lQaREREREtY9OCCG0DqIyOp0OGzZswJgxY6pcZ//+/ejRowfOnTuHmJgY5wVHREREVAt5aR2APXJycqDT6VCvXr0q1zEYDDAYDKXPS0pKcPToUURHR8PDo1YVWBIREZGNTCYTLl26hK5du8LLy6XTG7u47F9eWFiIOXPm4MEHH0RwcHCV6yUkJGDhwoVOjIyIiIi0sm/fPtxyyy1ah6EZl6yKLS4uxrhx45CamoodO3ZUm9jdXGKXlpaGuLg47Nu3D5GRkY4InYiIiJwsPT2dzbPggiV2xcXFuO+++3DmzBls27at2qQOAPR6PfR6fenzkJAQAEBkZCSaNGni0FiJiIjIuep6MyuXSuyUpO7kyZPYvn07GjZsqHVIRERERLVGrUrs8vPzcerUqdLnZ86cQXJyMho0aICoqCjce++9OHjwIL799lsYjUZkZGQAABo0aAAfHx+twiYiIiKqFWpVYvfbb79h0KBBpc9nz54NAJg8eTIWLFiAr7/+GgDQpUuXcu/bvn07Bg4c6KwwiYiIiGqlWpXYDRw4ENX15ail/TyIiIiIaoW63cKQiIiIyI0wsSMiIiJyE0zsiIiIiNxErWpjR0REROR2/tf50ypDhwJ+fla/jYkdERERkSNVMotWtXQ64ORJoHlzqz+KVbFEREREjpaRAZhMlt38/W3+GCZ2RERERI40ebJ11aoTJgA1TJlaFVbFEhERETnSqlXWrb98uc0fxcSOiIiIyJH+N5OWRZYsseujmNgREREROVJSUvnnBw4ARiPQpo18fuIE4OkJxMfb/VFM7IiIiIgcaft28+MlS4CgIOCjj4D69eWyq1eBRx4B+vWz+6PYeYKIiIjIWd56C0hIMCd1gHz8yivyNTsxsSMiIiJyltxc4NKlisszM4G8PLs3z8SOiIiIyFnGjpXVrmvXAufPy9vatcBjjwF332335tnGjoiIiMhZ3nsP+Otf5Vh1xcVymZeXTOzefNPuzTOxIyIiInIWf39g2TKZxP35JyAE0LIlEBCgyuZZFUtERER10rJlyxAbGwtfX1/Ex8dj9+7dFr3vp59+gpeXF7p06WL7hwcEAJ06AZ07q5bUAbUssdu1axdGjRqFqKgo6HQ6bNy4sdzrQggsWLAAUVFR8PPzw8CBA3H48GFtgiUiIiKXtWbNGsycORPz5s1DUlIS+vXrhxEjRiA1NbXa9+Xk5GDSpEkYPHiwfQEcOQL88APw9dflb3aqVYldQUEBOnfujHfeeafS19944w0sWbIE77zzDvbv34+IiAgMHToUeSr0IiEiIqK6Y8mSJXjsscfw+OOPo127dli6dCmio6OxvIbpvJ588kk8+OCD6N27t20ffPq0LKWLiwNGjgTGjJG3sWPlzU61qo3diBEjMGLEiEpfE0Jg6dKlmDdvHu7+X6+Rjz76COHh4Vi9ejWefPJJZ4ZaaXw3io2axkBEROQK/Lw9odPpNPv8oqIiHDhwAHPmzCm3fNiwYdi7d2+V71u1ahX+/PNPfPLJJ3jllVds+/AZM4DYWGDrVqB5c2DfPiA7G/jLX4C//922bZZRqxK76pw5cwYZGRkYNmxY6TK9Xo8BAwZg7969VSZ2BoMBBoOh9LmjSvduFBvRfv5mh2ybiIjInRxZNBz+Po5JQfLy8pCbm1v6XK/XQ6/Xl1snKysLRqMR4eHh5ZaHh4cjIyOj0u2ePHkSc+bMwe7du+HlZUfsP/8MbNsGNGoEeHjIW9++ctDiZ56pOP2YlWpVVWx1lB1tzT8BABISEhASElJ6a9++vUPjJCIiIu20b9++3Hk/ISGhynVvLjUUQlRakmg0GvHggw9i4cKFaN26tX0BGo1AYKB8HBoKXLwoHzdtChw/bt+24UIldgpL/wmKuXPnYvbs2aXPL1y44JDkzs/bE0cWDVd9u0RERO7Gz9vTYds+cuQIGjduXPr85tI6AAgNDYWnp2eFgqHMzMwKBUiALAX87bffkJSUhGnTpgEATCYThBDw8vLCli1bcNttt1kWYFwccOiQrIbt2RN44w3AxwdYsUIus5PLJHYREREAZMldZGRk6fKq/gmKm4tgyxbPqkmn0zmsWJmIiIgsExQUhODg4GrX8fHxQXx8PBITEzG2TIeFxMREjB49usL6wcHBSElJKbds2bJl2LZtG9auXYvY2FjLA3zhBaCgQD5+5RXgzjuBfv2Ahg2BNWss304VXCYTiY2NRUREBBITE9G1a1cAsvHjzp078frrr2scHREREbmS2bNnY+LEiejevTt69+6NFStWIDU1FVOmTAEga/wuXLiAjz/+GB4eHoiLiyv3/rCwMPj6+lZYXqPhZWr3mjeXw55cuQLUrw+o0KHEqsTOluFVhg4F/PwsWzc/Px+nTp0qfX7mzBkkJyejQYMGiImJwcyZM7F48WK0atUKrVq1wuLFi+Hv748HH3zQ+sCIiIiozho/fjyys7OxaNEipKenIy4uDps2bULTpk0BAOnp6TWOaWe14mJg2DDg/feBsm31GjRQ7SN0Qghh6coeVna10OmAkyctrzLesWMHBg0aVGH55MmT8eGHH0IIgYULF+L999/H1atX0bNnT7z77rtWZcvnz59HdHQ00tLS0KRJE4vfR0RERLWXy5zfGzUC9u4FWrVyyOatTuwyMoCwMMvWDwoCfv9dlbaAqnGZfzwRERFZzGXO73/5C+DtDbz2mkM2b1VV7OTJllerAsCECUAN7ReJiIiI6o6iIuDf/wYSE4Hu3SvOE7tkiV2btyqxW7XKuo3XMCsHERERUd3yxx9At27y8YkT5V9zdueJsm7cAIQA/P3l83PngA0bgPbtZbtAIiIiIrrJ9u0O3bzNM0+MHg18/LF8fO2aHGPvrbfkcpbUEREREf3PoUOAyWT5+ocPAyUlNn2UzYndwYNyPD0AWLsWCA+XpXYffwy8/batWyUiIiJyM127AtnZlq/fuzdg41ArNlfFXr8ue70CwJYtwN13y16zvXrJBI+IiIiIINuuvfiiuf1aTYqKbP4omxO7li2BjRuBsWOBzZuBWbPk8sxM9oQlIiIiKtW/P3D8uOXr9+5t3TAkZdic2M2fDzz4oEzoBg+WMQCy9O5/M34RERER0Y4dTvsomxO7e+8F+vYF0tOBzp3NywcPlqV4RERERORcVneeeP55YN8++TgiQpbOlZ1qrEcPoG1btcIjIiIiIktZndilpwN33glERgL/93/Ad98BBoMjQiMiIiIia1id2K1aBVy6BHzxBVCvnpzyLDRU9or98EMgK0v9IImIiIioZjaNY6fTyTHs3ngDOHZMVs326gWsXAlERcnOH3//O3DhgtrhEhEREVFVbO48UVa7dvL27LPA5cvAN98AX30lX/vrX9X4BCIiIiI3cfAgsHs34OMD3Hor0KmTapu2K7ErLJSzZGRmlp8pIzTUnNgRERER0f8sXQrMni3bs3l5yTZsHTrI9mzx8XZv3ubE7ocfgEmTKm9Tp9MBRqM9YRERERG5if/8B+jSRSZwixcDr70G/O1vMmFKSwPefx8YOBD4/ns5lpwdbJ4rdto0YNw42UvWZCp/Y1JHRERE9D9vvgn07AkEBso5Y/fvB/7xDzlwcVAQ8MorsuOCCu3XbE7sMjNlSWJ4uN0xWKykpAQvvPACYmNj4efnh+bNm2PRokUwla0HJiIiIqpNjh4F8vKAvXsBb285APAXXwAjRwINGwJNmwJffgkkJcmOCmfO2PxRds08sWMH0KKFzZ9ttddffx3vvfcePvroI3To0AG//fYbHnnkEYSEhGDGjBnOC4SIiIjIGr6+wC23yM4SnTsDa9bIas6jR4Hffwd27ZKJ1cMPA1evytK93FyrP8bmxO6dd2RV7O7dQMeOMgEt65lnbN1y1X7++WeMHj0aI0eOBAA0a9YMn332GX777Tf1P4yIiIhIbW+9JdvTnT4NTJkik7yYGNlTNioKOH9e3v74w6bN25zYrV4NbN4M+PnJBFOnM7+m0zkmsevbty/ee+89nDhxAq1bt8bvv/+OPXv2YOnSpep/GBEREZHaunQBDhyQSV2vXoAQcrmXl+xkAQBNmsibDWxO7F54AVi0CJgzp/xcsY703HPPIScnB23btoWnpyeMRiNeffVVPPDAA1W+x2AwwFBmzrO8vDxnhEpERERUuRYtgMREOZXXL78ARUUyyYuOtnvTNid2RUXA+PHOS+oAYM2aNfjkk0+wevVqdOjQAcnJyZg5cyaioqIwefLkSt+TkJCAhQsXOi9IIiIiIkuEhwOjR6u6SZ0QShmgdWbNAho1Ap5/XtV4qhUdHY05c+Zg6tSppcteeeUVfPLJJzh27Fil77m5xO7ChQto37490tLS0MTGYk4iIiKqXc6fP4/o6Og6f363ucTOaJRDrmzeLGfCuLnzxJIl9oZW0fXr1+FxUxGhp6dntcOd6PV66PX60ue5NvQwISIiInIFNid2KSlA167y8c0dN8p2pFDTqFGj8OqrryImJgYdOnRAUlISlixZgkcffdQxH0hERETkQmxO7LZvVzMMy/zrX//Ciy++iKeffhqZmZmIiorCk08+ifnz5zs/GCIiIqJaxuY2dq6KdfBERETux6XO77t3y/lh//wTWLsWaNwY+O9/gdhY584Ve+iQHCTZUocPAyUl1oZERERE5KbWrQOGD5cDASclAUoHz7w8YPFiuzdvVWLXtaucu9ZSvXsDqanWhkRERETkpl55BXjvPWDlyvI9T/v0kbNP2MmqNnZCAC++CPj7W7Z+UZEtIRERERG5qePHgf79Ky4PDgauXbN781Yldv37y3gs1bu3LGkkIiIiIgCRkcCpU0CzZuWX79kDNG9u9+atSux27LD784iIiIjqriefBGbMkPPC6nTAxYvAzz8Df/0roMIoHzYPd0JEREREVnr2WSAnBxg0CCgslNWher1M7KZNs3vzTOyIiIiInOnVV4F584AjR+RwI+3bA4GBqmyaiR0RERGRI82ebfm6ds7JysSOiIiIyJGSkixbT4U5WW1O7M6ckQMkExEREVE1nDgPq1UDFJfVrh0wcyaQlaViNERERERkM5tL7HbvBp5/HmjRQnbwmDXL8oGLiYiIiOqkqtrb6XSAry/QsiUwejTQoIFNm9cJIYQd4WHLFtmx48IFYMEC4PHHAQ+bywEdz6UmCSYiIiKLuMz5fdAgOXWY0Qi0aSOn9Tp5EvD0BNq2lTNB6HRywOL27a3evN0p2LBhwP79wD/+Abz1loxh/Xp7t0pERETkhkaPBoYMkQMTHzggk7wLF4ChQ4EHHpCP+/eXVaE2UK1sbeRI4IMPZMnhuHFqbZWIiIjIjbz5JvDyy3JuWEVwsKz2fOMN2a5t/nyZ9NnA5jZ2//kPcPiwHFvv8GGZYOp0QEwMcOedtm6ViIiIyI3l5ACZmRWrWS9fBnJz5eN69YCiIps2b3OJ3dy5QHKyrB6ePx/Yu1fGevo08NVXtm6ViIiIyDmWLVuG2NhY+Pr6Ij4+Hrt3765y3fXr12Po0KFo1KgRgoOD0bt3b2zevNn6Dx09Gnj0UWDDBuD8eVkytmED8NhjwJgxcp19+4DWrW36m2xO7C5dAn78EVi6VHaY6NkTCAiwdWuWu3DhAiZMmICGDRvC398fXbp0wQEbiyuJiIioblqzZg1mzpyJefPmISkpCf369cOIESOQmppa6fq7du3C0KFDsWnTJhw4cACDBg3CqFGjkGTp4MOK998HBg8G7r8faNpUVnXef79c9t57cp22bYF//9umv8vuXrHOdPXqVXTt2hWDBg3CU089hbCwMPz5559o1qwZWrRoYdE2XKbXDBEREVnM2vN7z5490a1bNyxfvrx0Wbt27TBmzBgkJCRY9JkdOnTA+PHjMX/+fOsDzs+X1ZxCyLHj6uJcsa+//jqio6OxatWq0mXNmjXTLiAiIiKqVfLy8pCrtFUDoNfrodfry61TVFSEAwcOYM6cOeWWDxs2DHv37rXoc0wmE/Ly8tDAxvHmEBgIdOpk23ur4VKJ3ddff43hw4dj3Lhx2LlzJxo3boynn34aTzzxhNahERERUS3Q/qZOCS+99BIWLFhQbllWVhaMRiPCw8PLLQ8PD0dGRoZFn/PWW2+hoKAA9913n/VB/vijvGVmAiZT+df+8x/rt1eGSyV2p0+fxvLlyzF79mw8//zz2LdvH5555hno9XpMmjSp0vcYDAYYDIbS53l5ec4Kl4iIiJzsyJEjaNy4cenzm0vrytLpdOWeCyEqLKvMZ599hgULFuCrr75CWFiYdQEuXAgsWgR07w5ERsohRVRkc2L38MOyU0f//ipGUwOTyYTu3btj8eLFAICuXbvi8OHDWL58eZWJXUJCAhYuXOi8IImIiEgzQUFBCC47RlwlQkND4enpWaF0LjMzs0Ip3s3WrFmDxx57DF9++SWGDBlifYDvvQd8+CEwcaL177WAzb1i8/LkrBOtWgGLF8veuo4WGRlZoYi1Xbt2VfZgAYC5c+ciJyen9HbkyBFHh0lERES1mI+PD+Lj45GYmFhueWJiIvr06VPl+z777DM8/PDDWL16NUaOHGnbhxcVAdV8hr1sTuzWrZPJ3LRpwJdfAs2aASNGAGvXAsXFKkZYxq233orjx4+XW3bixAk0bdq0yvfo9XoEBweX3oKCghwTHBEREbmM2bNn49///jf+85//4OjRo5g1axZSU1MxZcoUALJgqGxt4GeffYZJkybhrbfeQq9evZCRkYGMjAzk5ORY98GPPw6sXq3mn1KOXW3sGjYEZsyQt6Qk2d5v4kTZ0WPCBODpp2WJnlpmzZqFPn36YPHixbjvvvuwb98+rFixAitWrFDvQ4iIiMjtjR8/HtnZ2Vi0aBHS09MRFxeHTZs2lRYWpaenl6sRfP/991FSUoKpU6di6tSppcsnT56MDz/80PIPLiwEVqwAtm6VvWK9vcu/vmSJPX+WOuPYpacDH38sE7sLF4B77pHLtm+X057ZOI9tpb799lvMnTsXJ0+eRGxsLGbPnm1Vr1iOY0dEROR+XOb8PmhQ1a/pdMC2bXZt3ubErrgY+PprYNUqYMsWmXQ+/jjw0EOAUtv5+efAU08BV6/aFaOqXOYfT0RERBbj+V2yuSo2MlIOvfLAA3JKsy5dKq4zfLicx5aIiIiIHM/mxO4f/wDGjQN8fatep3594MwZWz+BiIiIyE0dOQKkpspesmXddZddm7U5sRswAKhszD8hgLQ0OactEREREZVx+jQwdiyQkiLb1Ckt4pSBio1GuzZv83AnsbHA5csVl1+5Il8jIiIiopvMmCETpUuXAH9/4PBhYNcuORPFjh12b97mEjshKp8FIz+/+upZIiIiojrr559lz9dGjQAPD3nr2xdISACeeUaOH2cHqxO72bPlvU4HvPiiTDYVRiPw66+Vd6QgIiIiqvOMRjngLwCEhgIXLwJt2gBNmwI3TcJgC6sTOyWRFEJWD/v4mF/z8QE6dwb++le74yIiIiJyP3FxwKFDQPPmQM+ecsBfHx85aHHz5nZv3urEbvt2ef/II8Dbb5vHrCMiIiKiGrzwAlBQIB+/8gpw551Av35yOq81a+zevFWJ3ezZwMsvAwEBcny6l16qel07Z8QgIiIicj/Dh5sfN28uhz25ckWOEVdZ5wUrWZXYJSXJGScAIDm56vVUiIuIiIiobmjQQLVNWZXYKdWwNz8mIiIiIu3ZPI4dEREREdUuNid2CQnAf/5Tcfl//gO8/ro9IRERERGRLWxO7N5/H2jbtuLyDh2A996zJyQiIiIisoXNM09kZACRkRWXN2oEpKfbExIRERGRm1JmeriZTien7mrZEhg92uYOFTYndtHRwE8/VZwX9qefgKgoW7dKRERE5MaSkoCDB+UMFG3ayBkfTp4EPD1lVeiyZcBf/gLs2QO0b2/15m1O7B5/HJg5Uw5/ctttctmPPwLPPivjISIiIqKbKKVxq1YBwcFyWW4u8Nhjcs7YJ54AHnwQmDUL2LzZ6s3bnNg9+6wcT+/pp4GiIrnM1xd47jlg7lxbt0pERETkxt58E0hMNCd1gHy8YAEwbBgwYwYwf758bAObO0/odLL36+XLwC+/AL//LhO9+fNt3aL1EhISoNPpMHPmTOd9KBEREZGtcnKAzMyKyy9fliV3gJzeSyk1s5Ld49gFBgK33CLntNXr7d2a5fbv348VK1agU6dOzvtQtezfD4wbB8THA1OnApcuaR2RZdaulVOh9O4t57czGLSOqGbFxcDf/y6LtwcPBj76SLZnqO2uXJHF8D16AGPGADt2aB2RZY4fByZMkN/txx6T7UZcwY8/yvkab7kFmDMHuHZN64hqZjIBH3wADBokv99vvw2UlGgdVc3y82XJRO/e8niycaPWEVnm/Hngqafkd3v8eFma4Qp++w247z6ge3dZxeYq5xt3Nno08OijwIYN8nt14YJ8/Nhj8ngPAPv2Aa1b27Z9YYerV4X4+9+FeOwxIR5/XIi33hLi2jV7tmiZvLw80apVK5GYmCgGDBggZsyYYfF709LSBACRlpbmuACr8+mnQnh6CiHTC3kLDxfi+HFt4rGEySTErFnlYwaE6NFDiNxcraOr2o0bQgwcWDHuxx6Tf1NtlZoqRExM+Zg9PIRYvlzryKq3bZsQvr7l4w4OFmL3bq0jq97SpRW/I23aCHH+vNaRVa2kRIgHH6wY98iRQhgMWkdXtexsIbp0qRj3iy9qHVn1kpOFCA0tH7O3txAbNmgdWfU++0wIL6/ycYeFCXH0qNaROYTm53dL5eXJpMnHRx7bPTzk4yeeECI/X66TlCRvNrA5sdu/X4gGDYRo3FiIsWOFGDNGiCZNhGjYUIgDB2zdqmUmTZokZs6cKYQQNSZ2hYWFIicnp/R25MgR7f7xv/4q/3mAEHffLcR//ytEhw7yecuWtTdJeu8980HhueeEWLZM/vMB+Y+vrUnS5MkyxqAgefKeP9+cVL/+utbRVa6wUIiOHc3fiQ8/FGLCBHNyt22b1hFW7swZuZ8BIQYNkhcwffrI540a1d4k6bvvzN/txx8XYtUqIaKj5fPevYUoKtI6wsrNny9j9PIS4tVX5RW2n59cNn261tFVzmQSYvhw83dixQohnnnGvP9Xr9Y6wsplZZkvtLp0EeKTT2QCDcgLmUOHtI6wcvv3C6HXyzjHjpXnm7g4+Tw2VoicHK0jVJ3LJHaKvDwhfv9dXjjk5am2WZsTu759hXj4YSGKi83LiovlubRfPxUiq8Jnn30m4uLixI0bN4QQNSd2L730kgBQ4eb0f3xRkfmEPXasEEajXH7pkvmgMXu2c2OyRFqaEIGBMr6EBPPyX34xJ6lffKFdfFX5/ntzMvTjj+bly5fL5T4+Qpw8qV18VXnpJfNVdWqqXGYymZPU5s1lSWRtYjIJMWyYORlS4isoEKJzZ7n83ns1DbFSOTlCREXJ+J5+2nyBcuqUECEhcvnf/65piJVKSjJfoPz3v+bl33xjTpJ27dIsvCqtXFl5MvTCC3J5SIgQly9rFl6V/u//zBdaV67IZcXF5iS1Rw9ZglqbFBebS0bvust8vsnMFKJpU7n8mWc0DdERXC6xcxCbEztf38pLcw8flheOjpCamirCwsJEcnJy6TKXKbFTDmoNGlQ8eClJiKdn7Us2HntMxtarl/ngoFCSkJiY2lX9YzSar0z/V7JbqmwSMmaMNvFV5dIlc6nLmjXlX8vLMychta208YcfZFx6fcUmBYcOyeQaEGLnTm3iq8qCBeYT9vXr5V/74ANzVXJmpjbxVeX222Vs99xT8bUnnpCvde9eu0rSCwqEiIysPFkuKTEnIdOmaRNfVX7/XQidrvJk+fx5cyn1p59qE19VlPNN/foVv7+bN5svemtzEyAbuFRit3WrEHPnynPsI4+Uv9nJ5sQuLEx+P272ww/yNUfYsGGDACA8PT1LbwCETqcTnp6eosSCqyZN/vElJUK0aiV/TG+9Vfk6I0bI1x991Hlx1SQtTbYjAYT46aeKr1+/bj5Y//vfzo+vKl99Za6CVa6wyzpyxHywrk3VKHPmyJhuuaXyk/KHH5pL825ORLRiMgnRs6eMa9asyteZMkW+PnSoc2OrztWr5pNyZSXORqM52ahN7b/27jVXwZ46VfH1S5fMJeybNjk/vqosWWKuAqzsIvDHH80l6RcvOj++qowfL+MaN67y1195Rb7etm3tKbUrLpb7ubrzjVKVPGmSc2NzMJdJ7BYskIl1jx5CjB4tCxnK3uxkc2I3fbpsU/f557LGKC1NttNs0kQIK/oyWCU3N1ekpKSUu3Xv3l1MmDBBpKSkWLQNTf7xX3xhLq2rqh7955/NB+yMDOfFVh2lw8SAAVWv89Zb5sbmtaGEoGyi8dxzVa93772168BWNtHYuLHydYqKhGjWTK5TWzpS/PKLubSuqu/tmTPmqsODB50aXpWUDhMdOlQsiVYov9v69c0NmrX2wAMypuqu6v/yF7nOwIHOi6s6RqNsQgDIdnVV6d1brjN3rvNiq86ZM+YLwN9/r3ydnBwh6tWT63z3nVPDq9KaNeZ2jFV9b3/91Xy+qU2JtJ1cJrGLiBDi448dtnmbEzuDQVbRK506dDp5bJ85U7b/dhaX6BV7663yRzR/fvXrKQlJbahqKygwJxrff1/1erm5QgQE1J6qtt9+qznREMKcSPv6yqRKa++8U3OiIYQQ//iHXK9bN6eFVi2l7d/EidWvp5R8PPWUU8KqlskkL0QA2RGoKiUl5pKPjz5yXnxVycgwl6BX10MtLc2cSB875rz4qqJ0UKlXTx5XqrJ+vblEujZ0WlHa/g0ZUv16M2ea27LVBkOGyHheeKH69ZREevFi58TlBC6T2DVoUHmJu0psTuwUBQWyNuv336v/zTpKrU/sTp40t2e4cKH6dZV2PS1bal/69ckn5sb61SUaQpjb4U2Y4JzYqjN1qozl/vurX89kMrfDe/dd58RWnfh4GcvSpdWvl5Vl7rSidelXdrZ5eJO9e6tfNzHR3EBe62pkpdovMLDmnugvv1xzqbWzKNV+vXrVvK5S1TZnjuPjqskdd1RfVa8oLpZDP1VXau0sxcVyyIfK2rve7MgR8zFe64Tizz9lLDqdLHGszqpV5urxmo7xLsJlErtnnxVi0SKHbd6qxG7WLMtvtZXT//HKVd/tt9e8bn6+uZRs+3aHh1Yt5apvwYKa11Wq43x9K2/T5iw3bshqM6DyBqA3U6rjunRxfGzVOXRIxuHtbVmvQKX0a+pUx8dWnXfflXF07lzzhYjRaK5GLtuTUwuTJsk4pkyped3UVHN1nJYdm0wmIVq3trz0cN06uW5kZPmhC5zt0iVz6aElDfX/+le57ujRDg+tWkoP44YNLauC6t9frv/yy46PrTrz5sk4hg2red2CAnPv78REh4fmDC6T2D3zjCzB7t9fdhhSOYGyauaJpCTLbsnJtg2W7HZMJuC//5WPJ0+uef2AADmiOQB8/rnj4qpJWpociR8AJk2qef0ePeTUI4WF2o4i/+23wNWrQJMmcpaJmkyYAHh7yy/s0aMOD69KH30k70eNAkJDa17/scfk/WefyZk1tLJmjbyfOFHOMVgdDw/gkUfk448/dmxc1SkslCO8A/L/X5PoaDk7AmD+LWshORk4cUJOyD12bM3r33mn/C6lpwNbtzo8vCqtXQsYjXLWA0tG0Ve+I999J6dX0spnn8n7CRMsm1JJiVv5TWhBCPN549FHa17f3x+4/375WMu466JDh4AuXeRx8Y8/KiZR9lIh93QpTs3olXZcQUGWVz9t2SLfExqq3ZW20o7LmgEJFy2S7xkxwmFh1Ugpyfrb3yx/j1JN5MBi8WqZTOaSrHXrLHtPcbFsGK3llfaFC+aSLGW8vZocP25usJ2d7dj4qrJhg4yhSRPLq58+/tjc/lErzz4rY7BmPMCnn5bveewxx8VVk379Kh/ipDrdusn3rFzpuLiqU1goh7mpajSAyly5Ym7/ePiwY+OrSnKyuebE0sFut241l0zWhnaNdnKZEjsHs3uuWKrGV1/J+5EjAT8/y94zaBDQsCGQlQXs3Om42KqjlLrdfbfl7xk3Tt5v3SpLzZzNYAA2bZKPrYn73nvl/dq16sdkid9/B86eld+P22+37D1eXuZSG63i/vJLWULQp48s1bJE69ZAx45yPtOvv3ZsfFVRSjTGj5dXy5YYNUqW7B4+DBw75rjYqiKEuURFKdG3hPI72LhRmzlkz58Hdu+Wj++7z/L33XOPvF+/Xv2YLPHjj3Ii9shIoFcvy95Tvz4wbJh8/OWXjoutOuvWyfvhw+Uk7pYYMABo1AjIzga2b3dcbATMng0UFJgfV3X7y1/s/ii7Ervdu2VJde/ecg5bQNZW7Nljd1zuQUmQRo+2/D1lT9paHCCysswHY2UyYku0bQt06CCrBrU4aW/bBuTlyYNxjx6Wv2/0aLnPDx2SVV3OplQLDh8uq0YspSSk69fLqi5nU+K25oQNmE/ayknImYqLZRUfYF3c9eqZq/a1iDslBTh3Tib/d9xh+fsGDJAXidnZwK5djouvKt9/L+979bI8+QfMCenWrcC1a6qHVSMloRw71vLkHzB/p7RO7JRjgyW8vMz7W6u464qkJHPTmYMHq2/PZiebE7t16+S5yM9PxmEwyOV5ecDixXbH5fqOHZM3b29gxAjr3qv8ML/5Rl6tO9O338q2gV26AM2aWfdeJW6lpNKZyibR1hyMGzQAbrtNPlaSFWdSPtOSdlNlDRwoY798GfjpJ9XDqlZeHrB3r3x8553WvVf5jmzZIrfjTD//DOTnyxKK7t2te6+WpUhbtsj7gQOtS/69vMwXlVokpErclpZEK9q2Bdq1kyfBb79VP67qlJSYjyXK/9xSo0YBnp6yZPfsWbUjq96xY8CRI/J8Y+1vUvk7lWM/Ocb27fIiEQB27JDPK7tt22b3R9mc2L3yCvDee8DKlfK7pOjTRyajdZ6S3Nx2GxASYt17BwyQB/CLF2VVnTMpiYY1pXUK5YCSmAgUFakWUo2MRvP+tjZBAuQBGTCXMDjLn3/K0hhPT+sPxmUvGJwd944d8qTbvDnQooV1723fXr6nqEiVA5hVlERj6FDrkn8AuOsueX/woOyQ4EybN8t7pROHNZTf8XffOfcisaTE3GnDlriVUiRnJ3Z79sgSzoYNgf79rXtv/fryBAiYS4adRTluDxliTh4s1b+/7LiXkcGej85QXCybXDmwhsjmxO748cq/98HB2pSe1zrKVZ8tCZKvr7nqR2k35gzXr5tPfrbE3a0bEBYmS0WcWR+/bx9w6ZJMoAcOtP79SvXWnj1ATo6qoVVLqbJWSt+spcTtzO8IYP6O2HLC1um0j1tpC2WNsDBzKd8PP6gXU02uXzc3jbAl7ttuA3x8ZFWuM9sH/vabPBHUqwfccov171cuWrZscW77QOUiaeRIWeJprZEj5b2zEzslbuUi1Rp6vbzYAZwfd13k7S17wtY0koAdbE7sIiOBU6cqLt+zR17I12nZ2cCvv8rHtvzQAPMBwpknv1275HAQ0dFAp07Wv9/Dw3xAduYBQinRGDZMnsSs1bw50KaNLPlLTFQ3tuooiYbyv7bW8OHy4HDokGyo7iz2JEhA+ZJGZ5UiZWXJZAMwn8SspSSkziwh3b1btnOJjpZVlNYKCJA1AIBz41Z+k0OGyBJpa/XsKZPCq1flhZuz2FM6Cph/y9u3y6TcGXJyZDMDwP64mdg5x6RJwAcfOGzzNid2Tz4JzJgh8xedTtYafvop8Ne/Ak8/rWaILmjbNnnCiosDGje2bRvKye/nn2Wi6AxlS2JsvZrQIiG1N9EAnF+KVFho7vVsa9wNG5p77TnrpH32rKxC8PSU1Qm2GDhQlkqnpcn2SM7w44/yN9mxIxAVZds2tChFKnvRYutvUosqe3tKdQFZWqb8LpwVd0aGuemLrcl/hw5ATIz8fTurqcG2bfL72Lq17aUqyndk3z5txw+sK4qKgOXLgfh4mUzd3DPWTjYnds8+K2vrBg2SNW/9+wOPPy5jnDbN7rhcW9m2PLaKiZEnIZPJvD1HU0qr7Il76FB50j92DDh9Wp24qnPtmvmK3p64lYT0+++d04D4p5+AGzdkktG+ve3bcXZCqnwXe/Wyvu2ows/P3GHF2XHbk/zfcotMpsuWkDiamhctu3bJg7WjXbtmrrGwJ25nJ6TKvu7WTXawsYVO5/zSL3tLGQFZANGli7z4cXab3brojz/k9yw4WF4oqzzDg9WJXdnPfPVVWcOxbx/wyy8y0X/5Zbtjcm1CqJMgAc49aV+8aK73t2TWhqrUqwfceqt87IwDxPbtsgq1TRugaVPbt9O3rxz7yVkNiMsm//a0tVC+I1u3OqfDir0lMQrlpO2M77YQ5Uu+bOXpaf67nfHdPn9elmjqdLJK01atWwOxsc7rsLJtm/xNtm0rL1BtpfSmPXBAtqF1NDUSJMD8m3TGBbkQ5jaf1vY+vpkz467rquoRq1Wv2G7dZOnh8uXywtXfX7Yp7tHD8jER3drJk7Khso+P9b2qbqYcYBITHV+KpPRgi4+XpRL2UA4wyoHSkdQoHQVkA2KlFMkZcSvJvz2JBiCvssPDZUmMo0uRSkrMU83ZG7eS2O3d6/hhT44elQNt+voC/frZty0lbmd0oFC+I7fcYlvnGoVO59y41UiiASAiAujaVT52dLJRtmbE3sRuwABZlXz6tONrLY4fl+cbvd7cltJWyjF061bnD7NFqrI6sfvpJ5nczZkjO1BMmMABq8tRDsa33iobLttD2calS7KBvCOpUeWjULaxfbvjS5HUSpAA8wHd0YldZqZ5EEp7SmIA2WFFOSA7+uRXtqejtePA3axFC3krLpbDpziSsl/697d8BpiqKPs6KUn+Hx1JrUSj7DYc/R0pWzrqSnEnJcnqp8BAOeK+PYKCzG1flQshR1H2db9+9p9veveWJTWXLsnaG3IsB87wYHVi17u3HLsuI0OW2p0/L89NLVrIqllnds6rldRMkHx8zA3UHZlsmEzmEjs14u7aVbZRcXQp0unTciw4Ly/bhjm5mXIS+eknx5YiKfu6Sxc5jIa9lP+ZoxNSe3s63kyJ29EnbbVKkABZOtqli3ys/B8doWwPbTXiHjRI/k7+/FPeHKVsjYW9JUiA+W9PTHRsKZLyHVSGh7GXcsHmyO8IoF41LCBL/ZRaJkfHXdc5eIYHmztP+PkBkyfLi+0TJ4AHHgDef1825bBm1hu3UlxsLr60t2pQ4Ywr1pQUeZUWEGD/1SpQvhTJkcmGcuLr3VteJdurRQvZq6ykxLGlSGom/4D5JHLwoGN7tKlZggQ4J7FTo/fxzZxRspuUJHvDBwfLoT/sFRRkHjzXkftb2XbfvvaXIAEyZqUUKSXF/u1VRc1SRsD8m/zxR8c1ozEYzFPFqX0sqUOJ3bJlyxAbGwtfX1/Ex8djtzJuZBV27tyJ+Ph4+Pr6onnz5njvvfes/1AHz/Bg11yxihYtZNXsvHnyOOSMJkq10q+/yoy7YUNz2xB7KT/YPXvMEwirTUmQBg5U52oVcM7JT+0ECXB83EKoH3dkpBx3UAjHVf2U7emo1kXLbbfJkr8TJxw3BZPS+zgyUg4/pIayCamjSpGU799tt5U/8NvDGb9JNUtHAVmKpJTGOyohzcszT8unVmKnNDrPznbc7EG//CLHygsPV++7rSR2O3c6d/YgjaxZswYzZ87EvHnzkJSUhH79+mHEiBFITU2tdP0zZ87gjjvuQL9+/ZCUlITnn38ezzzzDNZZO2Wfg2d4sDux27lTltxFRMghUO6+2/lTV9YaSoI0ZIj1UxZVpVUrOWdrUZHjSpHU6oBQlrItR5UilW3Ir2bcjj75HTkip6Ty9TX3HlaDo0t2lZ6O9vY+Lis42FxC7Ki41RgH7ma33ipLkTIyHFeKpHbpKGBOtrZtM09GrqaiInONhSPidtR3ZNcueTyJjbV+iryqeHubE1JHDXqulKoNGaLed7tjR9mMpqDAfCHnxpYsWYLHHnsMjz/+ONq1a4elS5ciOjoay5cvr3T99957DzExMVi6dCnatWuHxx9/HI8++ij+/ve/W/fBDp7hwabsIy1NDmvSooVsuvHnn8C//iVHzFi50txuVG0JCQm45ZZbEBQUhLCwMIwZMwbHjx93zIfZQs02MQqdzrHJxo0b9k1ZVBWlFAlwzIHtt99kt2w1GvKXpbRFOnXKMT3alJPTgAEyuVNL2XZ2jihFckTpaNntOeqk7Yi4HV2KlJcnewsD6sbdtausTcjLk6U9atu7VyYEYWG2zVxTFWUf7Nolj1dqUxIkNS8QAcdXa5YtSFCLh4d5uCtHxG0wyGO30aj+tq1UVFSEAwcOYNhNv7Fhw4Zhr/L7u8nPP/9cYf3hw4fjt99+Q7E1F0sOnuHB6sRu6FB5YbNsGXDvvXIkgT17gEceUadJRXV27tyJqVOn4pdffkFiYiJKSkowbNgwFDiqitIajqiqUjiyNGbPHtkOqUkT26Ysqo4jE1JlXwwerE5DfkVwsLktkiPjVvs70revTBQvXpSlgmpSu6djWcr2tm5VfzYHNWYSqIojE9Lt2+W+UNp8qsXT07E9qMsm0WrVWADyuNSkiUwKamj/ZBNHJEhlt7d7tzzGqunaNWD/fvnYnnFHK+PIhPSnn+TwPZ07q7/tMvLy8pCbm1t6MyidE8rIysqC0WhEeHh4ueXh4eHIyMiodLsZGRmVrl9SUoKsrCzLA3TwDA9W//r8/GSHjvPngddflzUzzvLDDz/g4YcfRocOHdC5c2esWrUKqampOHDggPOCqMqff8q2Dm3bynkd1aS0RVLGLFJT2YOa2pMSl01I1S5FUmsQ6Mo4KiEt29hZ7bh9fc29ENU+af/5p2wD5+2tTk/HsuLjgfr1ZemrcqJSi/IdsWcmgaoo35Fdu9SfE9QR1bAKRyakarevU+h0jktI09PNg0Ar41iqpX17WXNRWGgugVXLjh2yU0abNuqfb5TE7tdfgdxcdbdd9jfpQO3bt0dISEjpLSEhocp1dTed94QQFZbVtH5ly2vkwBkerE7svv4aGD1a3UISW+Xk5AAAGlQzeKfBYCiXuec5ahiL+Hg5Fo3SA09NISHm+m21kw1HJkh9+5rbIqk5Dl/ZqiRHxO2otkg//2xu7Nyxo3rbVTjqpK185269Vf1RyD09zScSteN2VPUxYD6hOqIUyVEJUtlt7t+v7hzUly+be/M58jep9ndEaafbrZv9A7PfrOyMIWqXfpVtX6e2pk2Bli1ldana7bodGXcZR44cQU5OTult7ty5FdYJDQ2Fp6dnhdK5zMzMCqVyioiIiErX9/LyQkNrvz+7dwP/93/A9OlySrfAQO3GsasthBCYPXs2+vbti7hqegQlJCSUy9zb2zMvZ010OnXGJauMI6pjL182T5/liB+ao9oi7dwpq6qaN1e3qkrRrRsQGqp+WyRHlo4C5u/Izp3qVv04MkECHFNCajKZ97cjSr50OseMH3j6tGzf6eVlHsNSTY0by4nq1e5BrZywO3eWPenUpvxmUlJkKZtaHJ1ouGJiV3a7asZ95YqcHq7s9h0kKCgIwcHBpTe9Xl9hHR8fH8THxyPxpjbgiYmJ6KM0x7lJ7969K6y/ZcsWdO/eHd7W9F538Dh2EC7q6aefFk2bNhVpaWnVrldYWChycnJKb0eOHBEAanxfrfPLL0IAQoSECFFcrM42P/tMbrNzZ3W2V5mlS+VnDB6s3jafeUZu88kn1dvmzR54QH7GvHnqbbNHD7nNDz9Ub5tlmUxCREXJz0hMVGebRUVCBAbKbR44oM42b3bunNy+h4cQV6+qs82kJLnNgAAhCgvV2ebNvvhCfkaHDupt87335Db79VNvmzebPVt+xqOPqrfNyZPlNp99Vr1t3iw+Xn7Gxx+rsz2TSYjGjdX9vdzs/Hm5fZ1OiOxsdbaZmmr+vVy7ps42b7Z2rfyMdu3U2+aXX8pttm+v3jZvkpaWZtX5/fPPPxfe3t7igw8+EEeOHBEzZ84UAQEB4uzZs0IIIebMmSMmTpxYuv7p06eFv7+/mDVrljhy5Ij44IMPhLe3t1i7dq11gXbpIsRHH8nHgYFC/PmnfJyUJER4uHXbqoRLlthNnz4dX3/9NbZv344mTZpUu65ery+XuQepMZCtFrp3l/NF5uTIOnk1OKrRcFlKacnu3eqNw+eM4ny1S5GuXpW9wQDHxV22FEmtEtJffpGNe0NDzTMuqC0mRrZNNZnUm6Re+fsHDpQlx44weLDsJHD4sHlKIHs5qpNKWWqPw+eIsRkro/Z3+9gx+X/T69Udeqisxo2Bdu3kPlLru62UtPboIZvpOMJtt8njiTLPshoc1fvYDuPHj8fSpUuxaNEidOnSBbt27cKmTZvQ9H9DOqWnp5cb0y42NhabNm3Cjh070KVLF7z88st4++23cc8991j3wbV9HDtnEkJg2rRpWL9+PbZt24bY2FitQ3Kesm2R1Eg2hHBs+zpFmzbyxF1UpE77wwsXZK9PRzR2Lks5iRw4IBu42mvbNpm4tGsnD/aOovbJT/muDR2qbk/Hm6ldrenIDgiKBg1kD7+yn2ePsmMzOjJB6t9fJjPnz8sTt73++ENWj/r5yXa1jlJ2ejE1ZnNQEo2+fe2fQ7g6anf8cMaFbf365mGkXCluGzz99NM4e/YsDAYDDhw4gP5lEq4PP/wQO25qZzhgwAAcPHgQBoMBZ86cwZQpU6z/0No4jp1Wpk6dik8++QSrV69GUFAQMjIykJGRgRuOGNuoNlKznd2JE3JAQh8fOYG0o5Qdh0+NuJWDg1KC6SiRkbKDQ9kE2B7OulodOlTu899/l51W7OWMkhigfAmpvaVIBQWOGZuxMmom0kovxAYNHNtr0M/PXFqgRtzOKB0F5GDWAQHqTS/mrN+kMo+rGt9tIZyXIJWN215nzpjn9Va7Z70rqm3j2Glp+fLlyMnJwcCBAxEZGVl6W7NmjdahOYdyEtm3T1bt2aPs1aq/v33bqoma1ZrOKGVUOCJuRx+MQ0PNSYG9CWl2trn62NH7e8AAOZzKuXOVX8laQ5kOKSYGaN1anfiqUrYUyd5BV5Xv2ZAhjh92QM2EVJmI3tFJtJqdsUpKzLNkOPo3OWCAjD01VVb/2uOPP2Ri6+/vuJkAFEpit2WL/d9t5XzTq5c683q7uto2jp2WhBCV3h5++GGtQ3OOJk3k2Egmk/29lZyVaACyytTDQx7UqpiDzyLOvFoF1BuHr+zVqnJiciS1TtpKCUNcnGOrjwFZEqNU49mbSH//vby//XbH9D4uq2dP2S4mO1v2brOHEveIEfbHVRPlu71jh309qPPzzWMzOiNutb7b+/bJHogNGjiu7ajC399cQmrvd1s5bvfr59jSUcDchu/qVfvHmFT+X7WsGlZTtWkcO9KYGqVIxcXmq1VnlHzVry9PgIB9cZe9Wq2iO7qqlLY36enys22lHIx79nTO1apabZGURGPkSPtjsoQaVfZCAJs2ycd33GF/TDXx9ja39bQn7kuXzKWjSkmJI8XFyeYGN27YN7n39u2ydDQ21vGlo4D5eLV7t33TiynfEWeUjgLm/6lSummr776T985Ior28zPvb3vON8ttwRtyuIDVVHqv8/WWzoh49zGOE2lP48T9M7FyNGqVIP/0k2/KEhsr5I51BjZP2t9/K+0GDHH+1CsjZHJQSNnsObErczkg0AJn0Km2RbB0Y2mg0n4ScdTBWElIlWbDFyZNyLLiyCZejqdHxQ3lvt26OGQfuZmqNw1c2iXZ06Sig3vRiSoLk7IuWnTttT0hzc81/s7OOJWokpMr5plEjdef1dmWxsbKE7mbZ2fI1OzGxczVKEXxamu3tNb75Rt7fcYfzphBRY05QJe5Ro9SJyRL2lpDeuGGuPr7zTnViqomPj3lwW1sT6d9+k9UEZefOdbTOneXBPz9fztJhC6WUsX9/57XlUb4je/fK6j1bOLMaVmFvtaYQzo9bjSF9LlyQA7PrdM6Lu317mZAWFpqrrq21dass/WrVSt6cQflu79snBxi2hZL8jxjh2J71rkSIyi+E8vNlgYKduJddjRrtNbRIkG65BahXr/zk1da4fNk8C4SzrrIB80lk927b5gTdtk0md9HRjplGrCr2nvyUE/awYbL0yxk8PNSL25kJUvPmQIsW5RvkW8NoNP+WnRm3Us1maw/qY8dkZxe93jGzZFTF3u+Ikmj06KH+HMJV0ensL/1ydikjIJPRDh3Kz+RiLSVuZ5Uy1mazZ8ubTge8+KL5+ezZspfs+PGqtPlkYueK7KnWPHFCVld5ezu+F1tZ9o7Dt2mTvMrp0kUebJylbVvznKC2jMOnVMPeeadzqqoU9iakZa+yncmek3ZBgXluS2efROyJ+5dfZAP1sm1RnaFRI/t6UCvfkQEDHN+zvqzBg+2bXkyLBAkw/5a++sr6ZjQmk3PbjpalxP3119a/9+xZOe6op6dzzze1VVKSvAkhv7/K86QkeaHUuTPw4Yd2fwwTO1dkT482pbRuwABZzeZM9lRrKgmSM0sZAfvG4ROifGLnTK1b2z4w9IUL5lJVZyd2SimSLQND//CDTMBjY2VC7kz2XGxt2CDvb79dNlh3JnsS0vXr5b2zf5OhoUB8vHysJGmWMhjMTSOcndgpc4OeOWOeo9tSSUmyVDUgoPIZCxzp7rvl/bffmuc0tZTy/+nTR1641HXbt8vb5MmydkF5vn27PC++/74q1exM7FxRhw5AVJSs4tuzx7r3alENqyjbXsOacfgMBnMy6OwECbA9IU1OlqP7+/s7ryG/omzVj7VX2soJ+9ZbZc9JZ4qMBDp1Kt+71VLr1sn7e+5xbukoIKsivbxkafiJE5a/Twjz/rZ2WiI1lP1uW9P2NT1dtikEgLFj1Y+rJspnKv9zS23ZIkt2Gzd2XscxRUCA+ULJ2riV9YcPd07HsbJ69pTnm9xc64fZWrtW3o8erX5crujXX2VCt2qVuWDl44/lxWhYGPB//2d98lwJJnauqGwpknK1b4n0dHPDXS0Su+hoOaWWyWTdlfYPP8hG6VFR2vSqUuYEPXpUjkdnKWXg7OHDVWkQazUlUVi3zrqTtnIw1iLRAMwlBNYMPG4wmEtHtYg7OFh+TwDgiy8sf19ysizB8fNzzjAnN7v1VjmW2+XL1pXsbtwo73v1cvwYh5W59155v3WrdReJyv9m3DjnJ/+A+bupJPOWEMIc9333qR9TTTw8zL9JaxLSjAzzd0r5f9V1CxaUH6kgJQV47DHZTGnOHFnwkpBg98cwsXNV48fL+y+/lD2lLPHFF/Ig0auXKl2qbTJunLxfvdry93z2mbwfP16bXlX165tP2pbGLQTw+efy8QMPOCaumtx2m6y2unzZ8kb9GRnmIRW0SuyU7/aWLbL7vyUSE2Xy37ixbBSvBSVu5f9uCeVEOWKELNFxNm9v80nXmri1Tv5bt5adkUpKLC+RLiyU7dsAbRIkQFb/envLi0RL5+lNSpIXlH5+zq8+Vij/56++svx8s369PA726AE0beq42FxJcrL5XALI31zPnsDKlbIDxdtvW3dhWAUmdq5q8GDZ+PnyZfPE4TVREiStEg0AePBBeb9lS+Xj+NwsP9984NYy7ocekveffmpZw+dff5U9BgMDtTsYe3mZD8iWln6tWWM+GMfEOC626rRtK6tjS0osL5H+5BN5f8892g2pMHasPGkfPmzZgNYmkzluLUs07r9f3q9bZ9n4gamp5gsFrRI7wLzPLL3YUkr+o6Od20mlrJAQcztSa36TgDyOKIPYOlu/fvJ8c+WK7OlvCSVurZLo2ujqVSA83Px8587yJfW33CKHMrMTEztX5eVlLiH49NOa1z91SiYbHh7a/tDatJENn41Gy65MvvpKtiVs0ULbwS3HjpXVqcePAwcP1ry+csIePdq5PQZvVrZkt6Cg+nWFAD74QD6ePNmxcdVESTY+/rjmdbOzzQmgltML1qtnbkP13//WvP727TL5DwmR80ZqpX9/OSjy1avm4WKq8/HH8rsycKB2Jf+A+WIrMVHux5r85z/y/r77tB1PTbm4XbWq5jlYi4vNvwHlN6EFT0/zeUM5RlTnxAnZ7Efr801tEx4um14A8iLq4EGgd2/z63l5qgwvxcTOlSkHtrVra+5B+N578n7oUOeMbF+dCRPk/YoVNZd+LV8u7ydO1KZNjCI42NwAeOXK6tfNyzOf2CdNcmxcNRkwQCbFubk1V7X99pts8+Hraz75aGXSJHky2b275tKvTz+VB8muXZ3fIP5mjzwi7//zn5p7rCuJxoMPymo2rXh6mr+ny5ZVv67JJBMSwPy3aqVFC9ncQAhzTFVJSzO3633iCcfHVp177pHNO1JTax5m5ptvZPOIsDBt2kWXpey3jRuBzMzq1/33v+X9iBGyhJSk22+Xbel27wbmzpUX/f36mV8/dEh+r+0l6pi0tDQBQKSlpWkdiv1MJiG6dRMCECIhoer18vOFqFdPrvfNN86LryrZ2UL4+8t4tm+ver2DB+U6Xl5CXLzotPCqtGOHjMfPT4isrKrXW7ZMrte6tRBGo/Piq8obb8h44uOrX++JJ+R6Dz3knLhqMnasjGfq1KrXMZmEiIuT6/3rX86LrSrFxUI0aSLj+e9/q14vM1MIX1+53v79zouvKqdPC6HTyXiOH696vcREuU5QkDyuaG31ahlPdLTc91WZP1+uN3Cg82KrzjPPyHjGjq1+veHD5Xpz5jgnrpr06CHjeeONqtcxGIRo1Eiu99VXzotNuMD5PTNTiL595W8tKEiI9evLv37bbUI8/7zdH8PEztV99JH8ATVpIkRRUeXrvP++XKd5cyFKSpwbX1WmTJExjRlT9TqPPCLXuf9+58VVHZNJiC5dqk+kjUYh2reX6yxd6tz4qnL5shB6vYxpz57K10lPN6+za5dz46tK2STiypXK19m0Sa4TGFj1Os728ssypltukd+Zyrz4ojnZrmodZxs5UsY0fXrV6wwbVvM6znTjhhChoTKmTz6pfJ3r14UID5frfPaZc+Oryh9/yHg8PIQ4caLydVJSzMn2n386N76q/Pvf5vNNYWHl63zwgVwnKqr6ZNsBXOb8fu1a5efi7GyZGNuJiZ2rKywUIixM/pDef7/i6zduCNG0qXx9yRKnh1elI0dkTDqdEElJFV8/cUIIT0+5zt69Tg+vSkoiHRYmRG5uxdc/+0y+HhwsxNWrTg+vSkpp3JAhlb8+a5Z8vU+f2pNoGI3m0rh58yq+bjIJ0bu3fH32bOfHV5WMDFmqCwjx7bcVX8/OFqJ+ffn6F184P76qbNkiY9Lrhajs+Lh3r3zd01OIM2ecHl6VXnlFxtWuXeWJxJIl8vVmzVQ5aarmzjtlXJMnV/76fffJ1++5x6lhVevGDSEiI2Vcy5dXfL2oSBYgAEK89ZbTw3O787uNmNi5g3/+U/6QwsMrllokJMjXGjcWoqBAm/iqcv/95uqRslWWJpMQo0fL1+64Q7PwKmUwCNGyZeXVI3l5QsTGytdeflmb+Kpy9qwQ3t4ytg0byr929Kis7gaE+OEHTcKr0vr1Mi5//4qlFp98Yn7twgVt4qvKs8+ak40bN8q/Nm2afC0urvaUoAshf3f9+8vYHnig/GslJUL07Clfe/RRbeKrytWr5kT57bfLv5aebm6GsnKlJuFV6ddfzRe3v/xS/rXt2+VrgBC//65JeFVSzjehoRWbpLz2mnytUSNNqurd8vxuAyZ27sBgkO25lDYbysnil1/MJ/MPP9Q2xsqcPm1uZ1S2alNpo+btLcShQ9rFV5WNG83VKFu3ymUmk7zyVtr75OVpGmKl5s41XwCcPSuX5eebq5fvvFPb+CpjMgkxaJC5NPH6dbn85EnzCfuVV7SNsTJXrpir/55+2lwK+vXX5hO28t2pTfbtk99rQIiPPzYvnzfPXOVdG9q73mz5cnOSr9QAFBWZ26h16+b0akGLKMeMli1lSa4QssS3WTO5fMoUTcOrVFGREB06yPjuuqv8+UY5nmt0vnHL87sNXDKxe/fdd0WzZs2EXq8X3bp1E7usaBPktv/4ffvMpS6DB8sGmEFB8vno0bWneu1mSvs/QIiHH5YHMqVdSXUdQrT28MMyRl9fWTqjtE/S6YT48Ueto6vcjRvmqs0mTYRYsECITp3MVcu19Tfx55+yaltpt7Zggbn5Qa9etat6rayySdzddwvxl7+YL7SmTdM6uqq98IK5ynX6dCEefND8d1TVjk1rJSXm9n/16sm/oV8/c2enypp71AaXLwsREyPjbNVKiEWLhGjRwtwmujY15yhr3z5zm1ylwb/yG73zTs3ON257freSyyV2n3/+ufD29hYrV64UR44cETNmzBABAQHi3LlzFr3frf/x69YJ4eNjPggDQgwYUHlbsNrCZDKXBpS9TZ9ee5NRIWS1tpLMKTcPj9pZMlrW+fPmqmTlFhoqxM8/ax1Z9XbtMl+oKLdOnWpfFezN3n3XfKGi3O69t/Ymo0LIZhFKx6Wyt1df1Tqy6l25IhP9sjH7+dWOkQCqc+iQbCpTNu7o6Op7J9cGa9eaS+iUW9++mp5v3Pr8bgWdEELYP2iK8/Ts2RPdunXDcmV8MwDt2rXDmDFjkGDBHGvnz59HdHQ00tLS0KRJE0eGqo1jx+TYb1lZcoynSZNUGfDQ4bZtk4P6CiEH1R0+XNtx6yxhNMrZPDZtkuNSTZkipzmq7QoKgHfekVMVtWol49Zivk9rXbggp9w5e1YO6vnEE9pMw2Wtgwfl2Ie5uXIsMq0HyLWEEHIMtfXr5WDokyeXH2+rtioqkgPo7twpv9NPP63OuGCOlpUlxxD84w95DJk+XQ54XdsdOybHI01PlwNWP/aY/L5oxO3P7xZyqcSuqKgI/v7++PLLLzF27NjS5TNmzEBycjJ2VjKJtcFggMFgKH2elpaGuLg47Nu3D5GRkU6Jm4iIiBwrPT0dPXr0wLlz5xCj1ZSItYB2qbUNsrKyYDQaEV52rjUA4eHhyMjIqPQ9CQkJWLhwYYXlPbSaKJyIiIgc5tKlS0zsXI3upio6IUSFZYq5c+di9uzZpc9LSkpw9OhRREdHw0Pl6pC8vDy0b98eR44cQVBQkKrbpvK4r52L+9u5uL+dh/vauRy5v00mEy5duoSuWk8tqDGXSuxCQ0Ph6elZoXQuMzOzQimeQq/XQ6/Xl1t26623OiS+3NxcAEDjxo0RHBzskM8gifvaubi/nYv723m4r53L0fu7LpfUKWp5C97yfHx8EB8fj8SbJk5OTExEnz59NIqKiIiIqHZwqRI7AJg9ezYmTpyI7t27o3fv3lixYgVSU1MxZcoUrUMjIiIi0pTLJXbjx49HdnY2Fi1ahPT0dMTFxWHTpk1o2rSp1qFBr9fjpZdeqlD1S+rjvnYu7m/n4v52Hu5r5+L+djyXGu6EiIiIiKrmUm3siIiIiKhqTOyIiIiI3AQTOyIiIiI3wcSOiIiIyE0wsVPJsmXLEBsbC19fX8THx2P37t1ah+SWEhIScMsttyAoKAhhYWEYM2YMjh8/rnVYdUJCQgJ0Oh1mzpypdShu68KFC5gwYQIaNmwIf39/dOnSBQcOHNA6LLdUUlKCF154AbGxsfDz80Pz5s2xaNEimEwmrUNzebt27cKoUaMQFRUFnU6HjRs3lntdCIEFCxYgKioKfn5+GDhwIA4fPqxNsG6IiZ0K1qxZg5kzZ2LevHlISkpCv379MGLECKSmpmodmtvZuXMnpk6dil9++QWJiYkoKSnBsGHDUFBQoHVobm3//v1YsWIFOnXqpHUobuvq1au49dZb4e3tje+//x5HjhzBW2+9hXr16mkdmlt6/fXX8d577+Gdd97B0aNH8cYbb+DNN9/Ev/71L61Dc3kFBQXo3Lkz3nnnnUpff+ONN7BkyRK888472L9/PyIiIjB06FDk5eU5OVL3xOFOVNCzZ09069YNy5cvL13Wrl07jBkzBgkJCRpG5v4uX76MsLAw7Ny5E/3799c6HLeUn5+Pbt26YdmyZXjllVfQpUsXLF26VOuw3M6cOXPw008/sbTfSe68806Eh4fjgw8+KF12zz33wN/fH//97381jMy96HQ6bNiwAWPGjAEgS+uioqIwc+ZMPPfccwAAg8GA8PBwvP7663jyySc1jNY9sMTOTkVFRThw4ACGDRtWbvmwYcOwd+9ejaKqO3JycgAADRo00DgS9zV16lSMHDkSQ4YM0ToUt/b111+je/fuGDduHMLCwtC1a1esXLlS67DcVt++ffHjjz/ixIkTAIDff/8de/bswR133KFxZO7tzJkzyMjIKHfO1Ov1GDBgAM+ZKnG5mSdqm6ysLBiNRoSHh5dbHh4ejoyMDI2iqhuEEJg9ezb69u2LuLg4rcNxS59//jkOHjyI/fv3ax2K2zt9+jSWL1+O2bNn4/nnn8e+ffvwzDPPQK/XY9KkSVqH53aee+455OTkoG3btvD09ITRaMSrr76KBx54QOvQ3JpyXqzsnHnu3DktQnI7TOxUotPpyj0XQlRYRuqaNm0aDh06hD179mgdiltKS0vDjBkzsGXLFvj6+modjtszmUzo3r07Fi9eDADo2rUrDh8+jOXLlzOxc4A1a9bgk08+werVq9GhQwckJydj5syZiIqKwuTJk7UOz+3xnOk4TOzsFBoaCk9Pzwqlc5mZmRWuSEg906dPx9dff41du3ahSZMmWofjlg4cOIDMzEzEx8eXLjMajdi1axfeeecdGAwGeHp6ahihe4mMjET79u3LLWvXrh3WrVunUUTu7W9/+xvmzJmD+++/HwDQsWNHnDt3DgkJCUzsHCgiIgKALLmLjIwsXc5zpnrYxs5OPj4+iI+PR2JiYrnliYmJ6NOnj0ZRuS8hBKZNm4b169dj27ZtiI2N1ToktzV48GCkpKQgOTm59Na9e3c89NBDSE5OZlKnsltvvbXC0D0nTpxA06ZNNYrIvV2/fh0eHuVPgZ6enhzuxMFiY2MRERFR7pxZVFSEnTt38pypEpbYqWD27NmYOHEiunfvjt69e2PFihVITU3FlClTtA7N7UydOhWrV6/GV199haCgoNKS0pCQEPj5+WkcnXsJCgqq0HYxICAADRs2ZJtGB5g1axb69OmDxYsX47777sO+ffuwYsUKrFixQuvQ3NKoUaPw6quvIiYmBh06dEBSUhKWLFmCRx99VOvQXF5+fj5OnTpV+vzMmTNITk5GgwYNEBMTg5kzZ2Lx4sVo1aoVWrVqhcWLF8Pf3x8PPvighlG7EUGqePfdd0XTpk2Fj4+P6Natm9i5c6fWIbklAJXeVq1apXVodcKAAQPEjBkztA7DbX3zzTciLi5O6PV60bZtW7FixQqtQ3Jbubm5YsaMGSImJkb4+vqK5s2bi3nz5gmDwaB1aC5v+/btlR6nJ0+eLIQQwmQyiZdeeklEREQIvV4v+vfvL1JSUrQN2o1wHDsiIiIiN8E2dkRERERugokdERERkZtgYkdERETkJpjYEREREbkJJnZEREREboKJHREREZGbYGJHRERE5CaY2BERERG5CSZ2RERERG6CiR0RaWrgwIGYOXOm1mFUaeDAgdDpdNDpdEhOTrboPQ8//HDpezZu3OjQ+IiIymJiR0QOoyQ3Vd0efvhhrF+/Hi+//LIm8c2cORNjxoypcb0nnngC6enpiIuLs2i7//znP5Genm5ndERE1vPSOgAicl9lk5s1a9Zg/vz5OH78eOkyPz8/hISEaBEaAGD//v0YOXJkjev5+/sjIiLC4u2GhIRo+ncRUd3FEjsicpiIiIjSW0hICHQ6XYVlN1fFDhw4ENOnT8fMmTNRv359hIeHY8WKFSgoKMAjjzyCoKAgtGjRAt9//33pe4QQeOONN9C8eXP4+fmhc+fOWLt2bZVxFRcXw8fHB3v37sW8efOg0+nQs2dPq/62tWvXomPHjvDz80PDhg0xZMgQFBQUWL2PiIjUxMSOiGqdjz76CKGhodi3bx+mT5+Op556CuPGjUOfPn1w8OBBDB8+HBMnTsT169cBAC+88AJWrVqF5cuX4/Dhw5g1axYmTJiAnTt3Vrp9T09P7NmzBwCQnJyM9PR0bN682eL40tPT8cADD+DRRx/F0aNHsWPHDtx9990QQtj/xxMR2YFVsURU63Tu3BkvvPACAGDu3Ll47bXXEBoaiieeeAIAMH/+fCxfvhyHDh1Cx44dsWTJEmzbtg29e/cGADRv3hx79uzB+++/jwEDBlTYvoeHBy5evIiGDRuic+fOVseXnp6OkpIS3H333WjatCkAoGPHjrb+uUREqmFiR0S1TqdOnUofe3p6omHDhuUSp/DwcABAZmYmjhw5gsLCQgwdOrTcNoqKitC1a9cqPyMpKcmmpA6QiefgwYPRsWNHDB8+HMOGDcO9996L+vXr27Q9IiK1MLEjolrH29u73HOdTldumU6nAwCYTCaYTCYAwHfffYfGjRuXe59er6/yM5KTk21O7Dw9PZGYmIi9e/diy5Yt+Ne//oV58+bh119/RWxsrE3bJCJSA9vYEZFLa9++PfR6PVJTU9GyZctyt+jo6Crfl5KSUq5k0Fo6nQ633norFi5ciKSkJPj4+GDDhg02b4+ISA0ssSMilxYUFIS//vWvmDVrFkwmE/r27Yvc3Fzs3bsXgYGBmDx5cqXvM5lMOHToEC5evIiAgACrhif59ddf8eOPP2LYsGEICwvDr7/+isuXL6Ndu3Zq/VlERDZhiR0RubyXX34Z8+fPR0JCAtq1a4fhw4fjm2++qbZa9JVXXsGaNWvQuHFjLFq0yKrPCw4Oxq5du3DHHXegdevWeOGFF/DWW29hxIgR9v4pRER20Qn2zyciqtLAgQPRpUsXLF261Or36nQ6bNiwwaLZLYiI1MASOyKiGixbtgyBgYFISUmxaP0pU6YgMDDQwVEREVXEEjsiompcuHABN27cAADExMTAx8enxvdkZmYiNzcXABAZGYmAgACHxkhEpGBiR0REROQmWBVLRERE5CaY2BERERG5CSZ2RERERG6CiR0RERGRm2BiR0REROQmmNgRERERuQkmdkRERERugokdERERkZtgYkdERETkJpjYEREREbmJ/weZJLDiqamvzQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure to plot the results\n", "fig, ax = plt.subplots(2, 1)\n", "\n", "# Plot the results in the xy plane\n", "ax[0].plot(outputs[0], outputs[1])\n", "ax[0].set_xlabel(\"$x$ [m]\")\n", "ax[0].set_ylabel(\"$y$ [m]\")\n", "\n", "# Plot the inputs\n", "ax[1].plot(timepts, U[0])\n", "ax[1].set_ylim(0, 12)\n", "ax[1].set_xlabel(\"Time $t$ [s]\")\n", "ax[1].set_ylabel(\"Velocity $v$ [m/s]\")\n", "ax[1].yaxis.label.set_color('blue')\n", "\n", "rightax = ax[1].twinx() # Create an axis in the right\n", "rightax.plot(timepts, U[1], color='red')\n", "rightax.set_ylim(None, 0.5)\n", "rightax.set_ylabel(r\"Steering angle $\\phi$ [rad]\")\n", "rightax.yaxis.label.set_color('red')\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "alone-worry", "metadata": {}, "source": [ "Notice that there is a small drift in the $y$ position despite the fact that the steering wheel is moved back and forth symmetrically around zero. Exercise: explain what might be happening." ] }, { "cell_type": "markdown", "id": "portable-rubber", "metadata": {}, "source": [ "### Linearize the system around a trajectory\n", "\n", "We choose a straight path along the $x$ axis at a speed of 10 m/s as our desired trajectory and then linearize the dynamics around the initial point in that trajectory." ] }, { "cell_type": "code", "execution_count": 23, "id": "surprising-algorithm", "metadata": {}, "outputs": [], "source": [ "# Create the desired trajectory \n", "Ud = np.array([10 * np.ones_like(timepts), np.zeros_like(timepts)])\n", "Xd = np.array([10 * timepts, 0 * timepts, np.zeros_like(timepts)])\n", "\n", "# Now linizearize the system around this trajectory\n", "linsys = vehicle.linearize(Xd[:, 0], Ud[:, 0])" ] }, { "cell_type": "code", "execution_count": 24, "id": "protecting-committee", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0., 0., 0.])" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check on the eigenvalues of the open loop system\n", "np.linalg.eigvals(linsys.A)" ] }, { "cell_type": "markdown", "id": "trying-stereo", "metadata": {}, "source": [ "We see that all eigenvalues are zero, corresponding to a single integrator in the $x$ (longitudinal) direction and a double integrator in the $y$ (lateral) direction." ] }, { "cell_type": "markdown", "id": "pressed-delta", "metadata": {}, "source": [ "### Compute a state space (LQR) control law\n", "\n", "We can now compute a feedback controller around the trajectory. We choose a simple LQR controller here, but any method can be used." ] }, { "cell_type": "code", "execution_count": 25, "id": "auburn-caribbean", "metadata": {}, "outputs": [], "source": [ "# Compute LQR controller\n", "K, S, E = ct.lqr(linsys, np.diag([1, 1, 1]), np.diag([1, 1]))" ] }, { "cell_type": "code", "execution_count": 26, "id": "independent-lafayette", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1. +0.j , -5.06896878+2.76385399j,\n", " -5.06896878-2.76385399j])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check on the eigenvalues of the closed loop system\n", "np.linalg.eigvals(linsys.A - linsys.B @ K)" ] }, { "cell_type": "markdown", "id": "handmade-moral", "metadata": {}, "source": [ "The closed loop eigenvalues have negative real part, so the closed loop (linear) system will be stable about the operating trajectory." ] }, { "cell_type": "markdown", "id": "handy-virgin", "metadata": {}, "source": [ "### Create a controller with feedforward and feedback\n", "\n", "We now create an I/O system representing the control law. The controller takes as an input the desired state space trajectory $x_\\text{d}$ and the nominal input $u_\\text{d}$. It outputs the control law\n", "\n", "$$\n", "u = u_\\text{d} - K(x - x_\\text{d}).\n", "$$" ] }, { "cell_type": "code", "execution_count": 27, "id": "negative-scope", "metadata": {}, "outputs": [], "source": [ "# Define the output rule for the controller\n", "# States: none (=> no update rule required)\n", "# Inputs: z = [xd, ud, x]\n", "# Outputs: v (forward velocity), delta (steering angle)\n", "def control_output(t, x, z, params):\n", " # Get the parameters for the model\n", " K = params.get('K', np.zeros((2, 3))) # nominal gain\n", " \n", " # Split up the input to the controller into the desired state and nominal input\n", " xd_vec = z[0:3] # desired state ('xd', 'yd', 'thetad')\n", " ud_vec = z[3:5] # nominal input ('vd', 'deltad')\n", " x_vec = z[5:8] # current state ('x', 'y', 'theta')\n", " \n", " # Compute the control law\n", " return ud_vec - K @ (x_vec - xd_vec)\n", "\n", "# Define the controller system\n", "control = ct.nlsys(\n", " None, control_output, name='control',\n", " inputs=['xd', 'yd', 'thetad', 'vd', 'deltad', 'x', 'y', 'theta'], \n", " outputs=['v', 'delta'], params={'K': K})" ] }, { "cell_type": "markdown", "id": "affected-motor", "metadata": {}, "source": [ "Because we have named the signals in both the vehicle model and the controller in a compatible way, we can use the autoconnect feature of the `interconnect()` function to create the closed loop system." ] }, { "cell_type": "code", "execution_count": 28, "id": "stock-regression", "metadata": {}, "outputs": [], "source": [ "# Build the closed loop system\n", "vehicle_closed = ct.interconnect(\n", " (vehicle, control),\n", " inputs=['xd', 'yd', 'thetad', 'vd', 'deltad'],\n", " outputs=['x', 'y', 'theta']\n", ")" ] }, { "cell_type": "markdown", "id": "hispanic-monroe", "metadata": {}, "source": [ "### Closed loop simulation\n", "\n", "We now command the system to follow a trajectory and use the linear controller to correct for any errors. \n", "\n", "The desired trajectory is a given by a longitudinal position that tracks a velocity of 10 m/s for the first 5 seconds and then increases to 12 m/s and a lateral position that varies sinusoidally by $\\pm 0.5$ m around the centerline. The nominal inputs are not modified, so that feedback is required to obtained proper trajectory tracking." ] }, { "cell_type": "code", "execution_count": 29, "id": "american-return", "metadata": {}, "outputs": [], "source": [ "Xd = np.array([\n", " 10 * timepts + 2 * (timepts-5) * (timepts > 5), \n", " 0.5 * np.sin(timepts * 2*np.pi), \n", " np.zeros_like(timepts)\n", "])\n", "\n", "Ud = np.array([10 * np.ones_like(timepts), np.zeros_like(timepts)])\n", "\n", "# Simulate the system dynamics, starting from the origin\n", "resp = ct.input_output_response(\n", " vehicle_closed, timepts, np.vstack((Xd, Ud)), 0)\n", "time, outputs = resp.time, resp.outputs" ] }, { "cell_type": "code", "execution_count": 30, "id": "indirect-longitude", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results in the xy plane\n", "plt.plot(Xd[0], Xd[1], 'b--') # desired trajectory\n", "plt.plot(outputs[0], outputs[1]) # actual trajectory\n", "plt.xlabel(\"$x$ [m]\")\n", "plt.ylabel(\"$y$ [m]\")\n", "plt.ylim(-1, 2)\n", "\n", "# Add a legend\n", "plt.legend(['desired', 'actual'], loc='upper left')\n", "\n", "# Compute and plot the velocity\n", "rightax = plt.twinx() # Create an axis in the right\n", "rightax.plot(Xd[0, :-1], np.diff(Xd[0]) / np.diff(timepts), 'r--')\n", "rightax.plot(outputs[0, :-1], np.diff(outputs[0]) / np.diff(timepts), 'r-')\n", "rightax.set_ylim(0, 13)\n", "rightax.set_ylabel(\"$x$ velocity [m/s]\")\n", "rightax.yaxis.label.set_color('red')" ] }, { "cell_type": "markdown", "id": "weighted-directory", "metadata": {}, "source": [ "We see that there is a small error in each axis. By adjusting the weights in the LQR controller we can adjust the steady state error (try it!)" ] }, { "cell_type": "markdown", "id": "03b1fd75-579c-47da-805d-68f155957084", "metadata": {}, "source": [ "## Computing environment" ] }, { "cell_type": "code", "execution_count": 31, "id": "280d8d0e-38bc-484c-8ed5-fd6a7f2b56b5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Control version: 0.10.1.dev324+g2fd3802a.d20241218\n", "Slycot version: 0.6.0\n", "NumPy version: 2.2.0\n" ] } ], "source": [ "print(\"Control version:\", ct.__version__)\n", "if ct.slycot_check():\n", " import slycot\n", " print(\"Slycot version:\", slycot.__version__)\n", "else:\n", " print(\"Slycot version: not installed\")\n", "print(\"NumPy version:\", np.__version__)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 5 }