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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bicycle kinematic model simulator"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Simulation of bicycle motion using kinematic model and 4th order Runge-Kutta discretization\n",
"\n",
"Created by: \n",
"\n",
" Francisco Javier Garcia Rosas 2017\n",
" Technische Universität Kaiserslautern"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Import dependencies\n",
"from __future__ import division, print_function\n",
"%matplotlib inline\n",
"\n",
"from BicycleTrajectory2D import *\n",
"from BicycleUtils import *\n",
"from FormatUtils import *\n",
"from PlotUtils import *"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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r4LzzXFtXPvooHOYKrSLNRg+Wbe9t2rRpPPDAAxw6dKjOCGyy0RpNqWfNmjXk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sAAAI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f91dcb744d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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xV+HjxwQvYhOEVRiH0TVmygYMt+EZhw4dwvLlyxGLxTA8PIzDhw8LH4d2F3Yi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mzgn//8p+/zxBNP8MILLxynLe3Zsyd1dXWmel/fdNNNPPjgg7zzzju0t7dz6NAh3nrrLTZv3uw7\n5rZt29Bad9jn7rvv5qOPPkJrzVdffcWrr74aVtvpVkS4FARBEATBNIqLixk0aJAlgiXA7373O77/\n/e8zZMgQevbs6ftMnjyZoqIinn322Q7lr7zySkpKSigpKSE/P5/m5ua421BVVcXDDz/MtGnTKCws\n5KSTTmL27Nk+AfbHP/4xDQ0NFBYW+pa6p0yZwpQpUxg/fjz5+fkMHDiQ+fPn+8wIkgnlL1ULkVFW\nVqZra2sT3QzBJaxZs8ZnFyQI4XB6X2loaKCxsZGCggLLBAchcqzqL5s2baK8vNz0egXrCXXvlFLv\naq3PtqsdorkUBEEQOsUuL2BBENyPCJeCIAhCp9jlBSwIgvsR4VIQBEHolIKCAp8nq1VewIIgJAcS\nikgQBEHoFK8XsNhcCoLQGSJcCoIgCBFRXFwsQmWKoLXuEEBccD5O8jqXZXFBEARBEHxkZmayd+9e\nJJqMO9Bac+TIEXbv3k23bt0S3RxANJeCIAiCIPjRp08fdu3axZ49exLdFCFCTjjhBPLy8hyzsuBI\n4VIZuvjbgZ8A3wD+CdyitV7XyX5Vnv0GA7nAbuBF4B6tdbOnTDpwKzDWUy4N+AC4W2v9piUnJAiC\nIAguISMjg5NPPjnRzRBcjFOXxW8H7gEexhACPwdWKaX6d7JfIfAOcCNwKfAQcC3wv35lsoA7gXeB\nScDVQCOwWil1oYnnIAiCIAiCkHI4TnOplMrEEP7+W2v9sGfbm8AWYDqGNjMoWutnAzatUUodBhYq\npXppreuBg0B/rbUvSJtS6lXgQ+AW4A0zz0cQBEEQBCGVcKLm8lyMJe1l3g1a6yPAH4GqGOrb6/nb\nxVNXm79g6d0GbAR6xdJgQRAEQRAEwcCJwuWpnr+bA7ZvAvoqpbI6q0Apla6UylRKnQXcDdRorevC\nlD8BGOk5hiAIgiCEpLa2lpUrV1JbW5vopgiCI3GicFkAHNZaHwrY3ggoz++dsQNj+ftdDHvNqzsp\n/3OgN4aNpyAIgiAEpba2luXLl7N+/XqWL18uAqYgBCGhNpcer/B0v01mBdWqAroBpwG/AP6slLrE\ns/wd2IZLMJyHZmut3w3T1uuB6z1fDyulPjSprULyUww0JLoRgiuQvuJw8vPzT8rKyirxfn/ggQe+\nbGpq2pmg5kh/ESKlzM6DqUQGSVVKVQCr/Tb9DcPWcgGQ5a+9VEr9B/AE0E1rfTCKY5yOEcroSq31\nCwG/nQWsAf6ktZ4URZ0btNZnR1peSG2kvwiRIn1FiAbpL0Kk2N1XEu0t/i4wwu97K8byNBhS9gd+\nv50KfBaNYOlhI3AUGOi/USk1EPgLsBb4cZR1CoIgCIIgCEFIqHCptW4FNvhvU0rtAFqAK/EIl0qp\nDOB7wMoYDvMtIAPY7neME4FVwGfAFVrro7G0XxAEQRAEQehIojWXx6G1PqSUuh+YpZTaA/wLI7Zl\nEfCgt5xS6nzgdeBHWus/eLb9EUNY3Yjh0HM6cJvn+4ueMlkYGsti4GZgiGH6CRiORO9H0MyFcZ6m\nkFpIfxEiRfqKEA3SX4RIsbWvJNTmMhQeR587OD7949t+ZSow7DV/qLV+2rPtDuAqYACGJ3wdRnzM\nB7XWLZ4ypcCnIQ69Q2tdavLpCIIgCIIgpAyOFC4FQRAEQRAEd+LEOJe2oJQ6VSn1qlLqK6XUF0qp\n3yilukSwn1JK3aGU+kwpdVAp9bZSamSQcr2UUsuVUq1KqX1KqSeVUrnWnI1gJUqpKqXU35RSe5RS\nh5VS25VSDyml8jrZL1spdb+n/AGl1Bal1F2eoP3eMl08fe/vnr6olVLF1p+VYAVKqTWeexjsM76T\nfXsrpRZ7+tlBpdQmpdREv99HKKV+r5T6xNOftnr6Vzfrz0wwA6XUQKXU40qpfyqljgULaaeUusrz\n7tjl6TfTYzhOmlLqXc/+V4QpN1wp1aaU2h/tMQRribCvhBpvTg1Wp99+Fyulliil6jxjycdKqds8\n/i3+5Z4OUf/oztrvOJtLO1BKFWDkEN+K4SjUG3gIyAamdbL77RhxMe/AsOWcCqxSSp2htd7uqT8D\n+Kun/NWeeh8E/gcYa+rJCHZQCLwDzMVIJzoEmOX5Wxlmv/nAOOAu4GPgHGA2RgzWGZ4y2cB/AOuB\nN4FLTW+9YCc/wUhf689PMfrBa6F28jgZvg3UYsTTbcGI09vVr9hVwCDgN8AWz++zMZwWLzSn+YLF\nnAaMwRhP0giu4LkC6A+8DNwQ43Fu4OvIK0HxmJ/NB/YAOTEeR7COSPoKwFtA4ASkrpO6b8B499yN\n4dg8EkOuGQz8MKDsdmBiwLbOsxlqrVPuA9wJ7AcK/bZdDxwDeoXZLxNoBub4beviuZG/9ds2AWgH\nyvy2VWIEif9mos9fPqb0of/w3M+g/QVjIPgKmBWwfTGwLWCb1zxlsqfO4kSfn3xM7SvbgRWdlHkG\n4yWRHqbMN4Jsu9rTZ4Yn+jzlE1FfSPP7/2ngw07KaGB6lMcoxpgE/9Cz/xUhyv0IQ8EyB9if6Gsj\nn5j6yhrg5RjqPu4dg6EEaff/LdRxI/mk6rL4d4DXtNb7/LYtwxAIwmmizsXQSizzbtBaH8FwGqoK\nqH+j1to/L9irwL6AcoJ72ev5G8qUQmGsDDQHbG/2/OZDe55iIflQSp0LnAw8F6ZMLvB9jAnqcVnE\nvGit9wTZ7I1u0Suedgr2oLVuN6NMJ9yP4ey6OlQBpVQ+8GvgFuBInMcTLMCEfhCu7mBZnd7HeDed\naMYxUlW4PBXY7L9Ba92EkYc8nK2C97fNAds3AX09YY5C1a8928LaQgjORSmVrpTKVEZmp7uBGq11\nXbCyHiHhaWCax1YuRyl1MXANxlKUkBpcjaHBfilMmbMwJilHPba9Rz124P8VaAMVhG97/gaOSUIK\nopT6Jkaf68xO81fAu1rrl61vlWAx53vs9Q95xo/zYqzn28Bhjo+mM1Ap1ayUOuKx4/1/kVSWqsJl\nAdAUZHsjhn1duP0Oa7+0lH77Kc/v8dQvOJsdGPFT38WYiFzdSfmfYNj2/gMj+9SrwGNa64esbKTg\nDDyOW9/HmIR8FaZoT8/fJzHi9FYCD2PYas4OU38xhu3vS1rrrWa0WXAvSqk0jNTJ/x1q0uspdwZw\nHYbWUnA3f8OI1z0amIRhR/maUuqcaCpRSg3y1PO41trfuet94FbguxhjWQPwp3BOYl5S0qFHEGKk\nCsMZ5zTgF8CflVKXhFnK/DWGQfaPMWybRgK/VEo1aq0fsKPBQkK5BCNO7/90Us47yX9Na32r5//V\nSqnuwHSl1GwdkPbWo9Fc4vk6xawGC67mxxgTlV+HKuBx4lmAYYIh2m6Xo7X+pf93pdTLwEfATCI0\nwfOY5fwRQ2M5w/83rfWjAWVrMFJmzwZeCFdvqmouG4FgYWQKMOwiw+3XVSmVGWQ/7fk9nvoFB6O1\n3qi1fltr/STGTO4C4PJgZZVSQzCWpm7QWj+ltf671vo3GMbz93oEByG5uRrDNvevnZTzjhtvBGx/\nHcNbfKD/Ro+A8Hvgm0CV1vrz+JsquBmlVA7G2PIroIvHptIbtSBbfR0G7yqgHJirlMr3lMv01JEf\n5N0muAjPCskKYHgk5ZURfvFPGLJJVScrLF470OVAuZ8ZYFBSVbg8zvZRGTELTyS87ZL3t7KA7acC\nn/lpF4LVrzz7yWwxOdgIHCXgxe/HYM/ffwZsfx9DYOhjUbsEB+AZeP8f8L9a66OdFP+4k98DX/gP\nYixRXa61/iDGJgrJRTFGiuTHMSYrjYC3byzGCF0FxnupACPCibfc7RgrMo0YZhZCCuAxo3gOQxD9\njtZ6p5n1p+qy+F+Au5RS+R5HHoArMdzwV4XZby1G/Lkr8Ty4nuWp7wErA+r/gVJqkJ8t1EUYD79/\nOcG9fAvIwAgzE4wdnr9nAf4P7XAMLfeO4/YQkolqjNiBnS2Jo7XeoZT6F3AxHZ29LsGw8fUJn8pI\ncXsLMFFr/bqpLRbczBcYKyn+9ASexxAYX/VsexojfI0/kzE0mt/BiHkouBRPQoWxGHGTO2MBcBlw\nqdb6XxHWn4Yh/3wUaKoTSKoKl48DNwEvKqXmYASbfQDDmLXeW0gp9TrQT2s9EEBrfUgpdT8wSym1\nB/gXhtNGEYY2wcsLGDGjliul7uLrIOortNb/sPzsBFNRSv0Rw9FiI8bL/nTgNs/3Fz1lngImaa29\nz9QGz+cJpVQP4BMMgfRO4Pda6wN+9X8HQ3NwtmfTZUqpVuBjrXVnWi3BmVyN8aL+v8AfAscVDzOA\nl5RSj2Asa43AMKv4jXepSil1NUaYmWeBT1XHzGDbQoQqEhyEUiqbr23h+gG5fs4Rf9Na71FKDebr\nlQ+AoZ4yX2mt/+Kppx+wDZittZ7tcTJdE3CsUs+/H2mt1wJ4HH3qAspVAG1a6w77C4mls76CoYW+\nDWNZuw4jHNmtGJOKK/3q6dBXPNvuAm7EkHsOB4wlH2utWzz7LcaYoHyCofGegvGeGtfpCZgZ9NNN\nHwy7k9eAA8C/PRe5S0CZNUBdwDaFISDsBA4B64BzgtTfG8M2oRVjueEpIDfR5y2fmPrKHRjL2S0Y\nwfc/xDBozvUr8zSeiFN+23oCv/M8+Acwsq/MArICytVhaDMDP7MSfe7yiam/FGCE9PivEL8fN654\ntl/l6VuHPX3iTjwB9v37WIjP5ESft3wi6hulYe5hhafMrBC/1wWpZ1YExwoaRN2v3CwkiLrjPp31\nFQyTrFcwIpcc8cgZKwhI1BKsr3jGoM76YSFGCLWdnjGpFSN26qWRtN+bGUQQBEEQBEEQ4iZVHXoE\nQRAEQRAECxDhUhAEQRAEQTANES4FQRAEQRAE0xDhUhAEQRAEQTANES4FQRAEQRAE0xDhUhAEQRAE\nQTANES4FQRAEQRAE0xDhUhAEIQxKKa2UejrR7QiFp33ez7oY9h8YUMfTFjRTEIQUIlXTPwqCIAC+\nNHmTgRe11v9MaGNi501gIRBLCsgvgGs8/z9jWosEQUhZRLgUBCHVKQV+iZFyMZhwmQW02dieWNiu\ntX42lh211vsx8pWjlBLhUhCEuBHhUhAEIQxa60OJboMgCIKbEJtLQRBSFqXULGC15+siP7vDNX5l\njrND9G5TSp2nlPo/pdRXSql/K6X+SymVrpTqqpT6tVJqp1LqkFJqvVJqZIg2jFNK/U0p1aKUOqiU\nel8p9WOTzq9cKfW8px2HlVJfKqXWmlW/IAhCMERzKQhCKvNHIAO4C8Nm8U3P9n9HsO+ZwIvAUxjL\nylXAzzGW0IcCucCDQDfgVuBlpdTJWutWbwVKqXuAuzEE3HuAg8ClwO+UUgO11nfEemJKqSJPvWnA\nE8CnQIGnbecDT8ZatyAIQjhEuBQEIWXRWm9UShViCJdvR2m3OBQYpbV+2/P9caXU+8AdwEqgQmut\nAZRSHwN/AiZgCLEopc4EZgJztdY3+9X7W6XUPOA2pdRCrfX2GE9vFNADGK+1XhpjHYIgCFEjy+KC\nIAix8bafYOnl74ACHvUKlh7+5vl7it+2iZ6yTymliv0/QA3G+HxxHO1r8vytUkrlx1GPIAhCVIjm\nUhAEITaCaRQbg/2mtW5USgEU+W0u9/z9IMwxesTaOK3135VSvwd+BFytlHoP+D/ghSBCsSAIgmmI\ncCkIghAb4cIThfpN+f3vXTkaCxwOUT7WJXEAtNbXKaUeAL4DfBtD0PyZUmqe1vo/46lbEAQhFCJc\nCoKQ6ujOi1jCFmA08LnW+j2rDqK13gxsBh5WSmVh2IPepJR6SGtdZ9VxBUFIXcTmUhCEVGe/52+h\nzcf1Biy/XymVEfijUipPKdU11sqVUoVKqQ5jvNb6IPCx52vR8XsJgiDEj2guBUFIdT4GWoGfKKUO\nYDjCfKm1fsPKg2qtNyilfgH8CvhQKfU8sAsowfBE/y4wGCNzUCxci7EE/iKwDTgADAd+jGHn6dZU\nl4IgOBwRLgVBSGm01geVUuMxhLxHgK4Y3t2WCpeeY9+nlNoA/CcwDSM25h6gFtvqvy8AAADLSURB\nVPgFRt7vWFkDnI6x9H4ihr3nTuDXwH9rrZ2e0lIQBJeiOkbLEARBENyEUkoDS4CbgKNa6+Yo90/j\na5OAPcBirfVkUxspCEJKITaXgiAI7mc8hmD41xj27e/Zd4+pLRIEIWWRZXFBEAR3c4nf/1FpLT3s\nDqijPr7mCIKQ6siyuCAIgiAIgmAasiwuCIIgCIIgmIYIl4IgCIIgCIJpiHApCIIgCIIgmIYIl4Ig\nCIIgCIJpiHApCIIgCIIgmIYIl4IgCIIgCIJp/H+ha5/ToidB1QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f91dc9d3090>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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nn/YCyEWLoGfP9MsleBe+3xbFZF3duUqhlC1qgRQRESlgxdxK5UfcFj0zmDsX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\niEhO/h8Ytn9eTlO0gAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f91dcc22d90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GVvP6OKzcQzWUu65+fzIREZGmKyMjg3atWjEbb9/rM4BHgue0gHjzEevu7CPx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\n4wAAAApJREFUiIg02v8H5NzMbkCFjKYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f91e2971b90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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vkLD3MizmLYF/CAzOxfVFREQ6iiceeIDZP/whDVtuyW4LF7L2kku4/cwzOfih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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f91dca47e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"[N, dt, wheel_distance] = [300, 0.05, 1.1] # simulation parameters\n",
"add_noise = True # Enable/disable gaussian noise\n",
"fileName = \"\" # File name prefix for final SVG images\n",
"\n",
"# Define initial state --------------------------------------------------------\n",
"delta = math.radians(6)\n",
"phi = math.radians(0)\n",
"X_init = np.array([1.0, 3.0, 0.0, np.tan(delta)/wheel_distance, 0.0, phi]) # [x, y, z, sigma, psi, phi]\n",
"\n",
"# Define constant inputs ------------------------------------------------------\n",
"U_init = np.array([1.0, 0.01, 0.01]) # [v, phi_dot, delta_dot]\n",
"\n",
"# Define standard deviation for gaussian noise model --------------------------\n",
"# [xf, xr, yf, yr, zf, zr, za, delta, psi, phi]\n",
"noise = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]\n",
"\n",
"if add_noise:\n",
" noise = [0.5, 0.5, 0.5, 0.5, 0.1, 0.1, 0.1, 0.01, 0.01, 0.01]\n",
" fileName += \"noise\"\n",
"else:\n",
" fileName += \"no_noise\"\n",
"\n",
"# Create object simulator ------------------------------------------------------\n",
"bike = BicycleTrajectory2D(X_init=X_init, U_init=U_init, noise=noise)\n",
"\n",
"# Simulate path ----------------------------------------------------------------\n",
"(gt_sim, zs_sim, time) = bike.simulate_path(N=N, dt=dt)\n",
"\n",
"pathOutputSimulation = 'simulations/math_model/' + fileName + '/'\n",
"\n",
"# Convert from Pandas Dataframe into numpy array\n",
"(gt, zs) = convert_object_to_array(gt_sim, zs_sim)\n",
"\n",
"# Plot state variables\n",
"plot_simulate_state_variables(gt=gt, sim=zs, time=time, file_name=pathOutputSimulation)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 2
}