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Simulation trajectory and Kalman Filter for a stochastic dodge game
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notebook2.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "bd832799",
"metadata": {},
"outputs": [],
"source": [
"using Plots"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "db6d6457",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"QV_for (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function F_for(Δt)\n",
" [1 Δt Δt^2/2; \n",
" 0 1 Δt; \n",
" 0 0 1]\n",
"end\n",
"\n",
"function F2_for(Δt)\n",
" F = F_for(Δt)\n",
" [F zero(F); zero(F) F]\n",
"end\n",
"\n",
"#=\n",
"function QV_for(Δt, σ_acc_noise)\n",
" [Δt^2/2; Δt; 1] * σ_acc_noise\n",
"end\n",
"=#\n",
"function QV_for(Δt, σ_acc_noise)\n",
" [Δt^3/6; Δt^2/2; Δt] * σ_acc_noise\n",
"end\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1f9f69c1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6-element Vector{Float64}:\n",
" 800.0\n",
" -160.0\n",
" 0.0\n",
" 400.0\n",
" 0.0\n",
" 0.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x_init = [800.0, -160.0, 0.0, 400.0, 0, 0]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "a93a3251",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Warning: Skipped marker arg o.\n",
"└ @ Plots C:\\Users\\yiyue\\.julia\\packages\\Plots\\1KWPG\\src\\args.jl:1231\n"
]
},
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" 1968.28,400.029 1962.45,400.68 1956.64,401.355 1950.85,402.052 1945.08,402.774 1939.33,403.52 1933.6,404.288 1927.89,405.082 1922.2,405.9 1916.53,406.744 \n",
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" 1800.68,430.732 1795.31,432.221 1789.95,433.739 1784.61,435.285 1779.28,436.859 1773.96,438.46 1768.66,440.089 1763.36,441.746 1758.08,443.43 1752.8,445.14 \n",
" 1747.54,446.878 1742.29,448.641 1737.05,450.431 1731.82,452.249 1726.6,454.093 1721.4,455.964 1716.22,457.86 1711.04,459.781 1705.88,461.727 1700.73,463.698 \n",
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