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Last active September 12, 2024 21:01
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check_modeling.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/maruta/a8839280aff67dde304f7b4393dec42b/check_modeling.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cDLWeRUH6zgY"
},
"source": [
"# 倒立振子モデルの運動方程式の導出と制御系の設計\n",
"\n",
"<div>\n",
"<img src=\"data:image/png;base64,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\" width=\"300\">\n",
"</div>\n",
"\n",
"ここでは Python の数式処理パッケージである SymPy を使って運動方程式を導出する.手計算の結果と照合してミスがないか確認しておくこと.\n",
"また,極配置法によって状態フィードバック制御器を設計する."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "tl1IC7Xu6zgb",
"outputId": "1b74cb87-5450-45d9-eb21-06d7f47c3e86"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Collecting control\n",
" Downloading control-0.9.4-py3-none-any.whl (455 kB)\n",
"\u001b[?25l \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m0.0/455.1 kB\u001b[0m \u001b[31m?\u001b[0m eta \u001b[36m-:--:--\u001b[0m\r\u001b[2K \u001b[91m━━━━━━━\u001b[0m\u001b[90m╺\u001b[0m\u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m81.9/455.1 kB\u001b[0m \u001b[31m2.4 MB/s\u001b[0m eta \u001b[36m0:00:01\u001b[0m\r\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m455.1/455.1 kB\u001b[0m \u001b[31m7.4 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
"\u001b[?25hRequirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from control) (1.23.5)\n",
"Requirement already satisfied: scipy>=1.3 in /usr/local/lib/python3.10/dist-packages (from control) (1.11.3)\n",
"Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (from control) (3.7.1)\n",
"Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (1.1.1)\n",
"Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (0.12.1)\n",
"Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (4.43.1)\n",
"Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (1.4.5)\n",
"Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (23.2)\n",
"Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (9.4.0)\n",
"Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (3.1.1)\n",
"Requirement already satisfied: python-dateutil>=2.7 in /usr/local/lib/python3.10/dist-packages (from matplotlib->control) (2.8.2)\n",
"Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.10/dist-packages (from python-dateutil>=2.7->matplotlib->control) (1.16.0)\n",
"Installing collected packages: control\n",
"Successfully installed control-0.9.4\n"
]
}
],
"source": [
"!pip install control\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from control.matlab import *\n",
"from sympy import *\n",
"from sympy.physics.mechanics import *\n",
"\n",
"init_vprinting(use_latex=\"mathjax\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "T3Foxz5c6zgc"
},
"source": [
"## 運動方程式の導出\n",
"\n",
"### 記号の定義\n",
"まず,定数類に対応する記号を定義しておく"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "uN5dixG36zgc"
},
"outputs": [],
"source": [
"# 基準慣性フレーム\n",
"# N.x N.y N.z が x軸, y軸, z軸の基底ベクトルになる\n",
"N = ReferenceFrame(\"N\")\n",
"\n",
"# 時刻を表す記号を定義\n",
"t = Symbol(\"t\")\n",
"\n",
"# 質量・慣性モーメント\n",
"mb, mw, Jb, Jw = symbols(\"m_b m_w J_b J_w\", positive=True)\n",
"\n",
"# 車軸から重心までの距離,車輪半径,重力加速度\n",
"l, r, g = symbols(r\"\\ell r g\", positive=True)\n",
"\n",
"# 一般化座標\n",
"phi, th = dynamicsymbols(r\"\\varphi \\theta\")\n",
"q = [phi,th]\n",
"\n",
"# それらの微分\n",
"dphi = diff(phi, t)\n",
"ddphi = diff(dphi,t)\n",
"dth = diff(th, t)\n",
"ddth = diff(dth,t)\n",
"\n",
"dq = [dphi,dth]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Dm3h3pLw6zgc"
},
"source": [
"次に,車輪の運動エネルギー,ポテンシャルエネルギーを$\\varphi, \\theta$の関数として計算する"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "2aq6abmT6zgd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 69
},
"outputId": "f521b3b1-dc5f-4c8e-e25f-4e14c5c9a1fc"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"⎛ 2⎞ 2\n",
"⎝J_w + m_w⋅r ⎠⋅(\\thėta + \\vaṙphi) \n",
"──────────────────────────────────\n",
" 2 "
],
"text/latex": "$\\displaystyle \\frac{\\left(J_{w} + m_{w} r^{2}\\right) \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2}$"
},
"metadata": {}
}
],
"source": [
"# 車輪の回転角とx座標\n",
"thw = phi + th\n",
"xw = -thw*r\n",
"dxw = diff(xw, t)\n",
"dthw = diff(thw, t)\n",
"\n",
"# 車輪とともに回転するフレームwを定義\n",
"w = ReferenceFrame(\"w\")\n",
"w.set_ang_vel(N, dthw * N.z)\n",
"\n",
"# 重心の位置と速度を定義\n",
"Pw = Point(\"P_w\")\n",
"Pw.set_vel(N, dxw * N.x)\n",
"\n",
"# 回転中心と慣性モーメント(dyadic)の組\n",
"inertia_tuple_w = (Jw * outer(N.z, N.z), Pw)\n",
"\n",
"# 剛体を定義\n",
"W = RigidBody(\"W\", Pw, w, mw, inertia_tuple_w)\n",
"\n",
"# ポテンシャルエネルギーを付与\n",
"W.potential_energy = 0\n",
"\n",
"# 運動エネルギーは自動で計算される\n",
"display(W.kinetic_energy(N).simplify())"
]
},
{
"cell_type": "markdown",
"source": [
"同様に車体についても計算する"
],
"metadata": {
"id": "L9dx4Waa7MoU"
}
},
{
"cell_type": "code",
"source": [
"# 車体のx,y座標\n",
"xb = xw-l * sin(phi)\n",
"dxb = diff(xb, t)\n",
"yb = l * cos(phi)\n",
"dyb = diff(yb, t)\n",
"\n",
"# 車体とともに回転するフレームbを定義\n",
"b = ReferenceFrame(\"b\")\n",
"b.set_ang_vel(N, dphi * N.z) # 回転軸はz軸,角速度はdphi\n",
"\n",
"# 重心の位置と速度を定義\n",
"Pb = Point(\"P_b\")\n",
"Pb.set_vel(N, dxb * N.x + dyb * N.y)\n",
"\n",
"# 慣性モーメントを表現するタプルを定義\n",
"inertia_tuple_b = (Jb * outer(N.z, N.z), Pb)\n",
"\n",
"# 剛体を定義\n",
"B = RigidBody(\"B\", Pb, b, mb, inertia_tuple_b)\n",
"\n",
"# ポテンシャルエネルギーを付与\n",
"B.potential_energy = mb * g * yb\n",
"\n",
"# 運動エネルギーは自動で計算される\n",
"display(B.kinetic_energy(N).simplify())"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "tOkS1BEx658b",
"outputId": "b6f53590-9e0b-444f-ac14-db15b347f3da"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" 2 ⎛ 2 2 2 \n",
"J_b⋅\\vaṙphi m_b⋅⎝\\ell ⋅sin (\\varphi)⋅\\vaṙphi + (\\ell⋅cos(\\varphi)⋅\\vaṙp\n",
"──────────── + ───────────────────────────────────────────────────────────────\n",
" 2 2 \n",
"\n",
" 2⎞\n",
"hi + r⋅(\\thėta + \\vaṙphi)) ⎠\n",
"─────────────────────────\n",
" "
],
"text/latex": "$\\displaystyle \\frac{J_{b} \\dot{\\varphi}^{2}}{2} + \\frac{m_{b} \\left(\\ell^{2} \\sin^{2}{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\left(\\ell \\cos{\\left(\\varphi \\right)} \\dot{\\varphi} + r \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)\\right)^{2}\\right)}{2}$"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "o8YTFJ3L6zge"
},
"source": [
"また,車輪と車体の運動エネルギーの合計は以下のようになる"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "TlsqijJJ6zge",
"outputId": "04191b76-7825-45a3-fb3a-fc3562212f69"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" 2 2 ⎛ 2 2 2 \n",
"J_b⋅\\vaṙphi J_w⋅(\\thėta + \\vaṙphi) m_b⋅⎝\\ell ⋅sin (\\varphi)⋅\\vaṙphi \n",
"──────────── + ─────────────────────── + ─────────────────────────────────────\n",
" 2 2 \n",
"\n",
" 2⎞ 2 \n",
" + (\\ell⋅cos(\\varphi)⋅\\vaṙphi + r⋅(\\thėta + \\vaṙphi)) ⎠ m_w⋅r ⋅(\\thėta +\n",
"─────────────────────────────────────────────────── + ────────────────────────\n",
" 2 2 \n",
"\n",
" 2\n",
" \\vaṙphi) \n",
"──\n",
" "
],
"text/latex": "$\\displaystyle \\frac{J_{b} \\dot{\\varphi}^{2}}{2} + \\frac{J_{w} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2} + \\frac{m_{b} \\left(\\ell^{2} \\sin^{2}{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\left(\\ell \\cos{\\left(\\varphi \\right)} \\dot{\\varphi} + r \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)\\right)^{2}\\right)}{2} + \\frac{m_{w} r^{2} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2}$"
},
"metadata": {}
}
],
"source": [
"T = (B.kinetic_energy(N) + W.kinetic_energy(N)).simplify()\n",
"display(T)"
]
},
{
"cell_type": "markdown",
"source": [
"ポテンシャルエネルギーは以下のようになる"
],
"metadata": {
"id": "61kKHV597u6p"
}
},
{
"cell_type": "code",
"source": [
"U = B.potential_energy + W.potential_energy\n",
"display(U)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 38
},
"id": "06krkpERmZ5k",
"outputId": "cbf3ec99-7af7-494d-a622-23ac0bb6bd11"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"\\ell⋅g⋅m_b⋅cos(\\varphi)"
],
"text/latex": "$\\displaystyle \\ell g m_{b} \\cos{\\left(\\varphi \\right)}$"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PU6h1UpO6zge"
},
"source": [
"### ラグランジュの方法による運動方程式の導出\n",
"ラグランジアンを計算"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 76
},
"id": "lpo0qu5S6zge",
"outputId": "deee7dfa-8acd-447d-e93d-f9fadf759aa2"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" 2 2 ⎛ 2 \n",
"J_b⋅\\vaṙphi J_w⋅(\\thėta + \\vaṙphi) m_b⋅⎝\\el\n",
"──────────── + ─────────────────────── - \\ell⋅g⋅m_b⋅cos(\\varphi) + ───────────\n",
" 2 2 \n",
"\n",
" 2 2 2⎞ \n",
"l ⋅sin (\\varphi)⋅\\vaṙphi + (\\ell⋅cos(\\varphi)⋅\\vaṙphi + r⋅(\\thėta + \\vaṙp\n",
"───────────────────────────────────────────────────────────────────────────── \n",
" 2 \n",
"\n",
" 2 2\n",
"hi)) ⎠ m_w⋅r ⋅(\\thėta + \\vaṙphi) \n",
"+ ──────────────────────────\n",
" 2 "
],
"text/latex": "$\\displaystyle \\frac{J_{b} \\dot{\\varphi}^{2}}{2} + \\frac{J_{w} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2} - \\ell g m_{b} \\cos{\\left(\\varphi \\right)} + \\frac{m_{b} \\left(\\ell^{2} \\sin^{2}{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\left(\\ell \\cos{\\left(\\varphi \\right)} \\dot{\\varphi} + r \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)\\right)^{2}\\right)}{2} + \\frac{m_{w} r^{2} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2}$"
},
"metadata": {}
}
],
"source": [
"L = Lagrangian(N, B, W).simplify()\n",
"display(L)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "14BXVpEO6zge"
},
"source": [
"運動方程式を導出"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 91
},
"id": "IXlWlvci6zgf",
"outputId": "5523c596-7075-47b7-f8b7-ff6b37eb03cb"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
" 2 \n",
"J_b⋅\\var̈phi + J_w⋅\\thëta + J_w⋅\\var̈phi + \\ell ⋅m_b⋅\\var̈phi - \\ell⋅g⋅m_b⋅si\n",
"\n",
" 2 \n",
"n(\\varphi) - \\ell⋅m_b⋅r⋅sin(\\varphi)⋅\\vaṙphi + \\ell⋅m_b⋅r⋅cos(\\varphi)⋅\\thë\n",
"\n",
" 2 2 2 \n",
"ta + 2⋅\\ell⋅m_b⋅r⋅cos(\\varphi)⋅\\var̈phi + m_b⋅r ⋅\\thëta + m_b⋅r ⋅\\var̈phi + m\n",
"\n",
" 2 \n",
"_w⋅r ⋅\\thëta + m_w⋅r ⋅\\var̈phi = 0"
],
"text/latex": "$\\displaystyle J_{b} \\ddot{\\varphi} + J_{w} \\ddot{\\theta} + J_{w} \\ddot{\\varphi} + \\ell^{2} m_{b} \\ddot{\\varphi} - \\ell g m_{b} \\sin{\\left(\\varphi \\right)} - \\ell m_{b} r \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell m_{b} r \\cos{\\left(\\varphi \\right)} \\ddot{\\theta} + 2 \\ell m_{b} r \\cos{\\left(\\varphi \\right)} \\ddot{\\varphi} + m_{b} r^{2} \\ddot{\\theta} + m_{b} r^{2} \\ddot{\\varphi} + m_{w} r^{2} \\ddot{\\theta} + m_{w} r^{2} \\ddot{\\varphi} = 0$"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
" ⎛ 2 \n",
"J_w⋅(\\thëta + \\var̈phi) + m_b⋅r⋅⎝- \\ell⋅sin(\\varphi)⋅\\vaṙphi + \\ell⋅cos(\\va\n",
"\n",
" ⎞ 2 \n",
"rphi)⋅\\var̈phi + r⋅(\\thëta + \\var̈phi)⎠ + m_w⋅r ⋅(\\thëta + \\var̈phi) - τ = 0"
],
"text/latex": "$\\displaystyle J_{w} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right) + m_{b} r \\left(- \\ell \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell \\cos{\\left(\\varphi \\right)} \\ddot{\\varphi} + r \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right)\\right) + m_{w} r^{2} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right) - \\tau = 0$"
},
"metadata": {}
}
],
"source": [
"# 加わる力を列挙\n",
"tau = dynamicsymbols(\"tau\", real=True)\n",
"fl = [(w, tau * N.z), (b, -tau * N.z)] # 車輪に働くトルク, 車体に働くトルク\n",
"\n",
"# ラグランジュの方法で運動方程式を導出\n",
"\n",
"LM = LagrangesMethod(L, q, forcelist=fl, frame=N)\n",
"EoM = simplify(LM.form_lagranges_equations())\n",
"\n",
"# 運動方程式を表示\n",
"display(Eq(EoM[0],0))\n",
"display(Eq(EoM[1],0))"
]
},
{
"cell_type": "markdown",
"source": [
"モーター制御モジュールが$\\ddot{\\theta}=u$となるように制御するものとして$\\tau$を消去する。実際には$\\ddot{\\varphi}$に関する運動方程式だけを使うので、他の式は必要ない。また、その場合$\\theta$に関する運動方程式は実は不要なので手計算では陽に求めていない。"
],
"metadata": {
"id": "kdtsJGk8lwE0"
}
},
{
"cell_type": "code",
"source": [
"u = dynamicsymbols(\"u\", real=True)\n",
"sol = simplify(solve([Eq(EoM[0],0),Eq(EoM[1],0),Eq(ddth,u)],[ddphi,ddth,tau]))\n",
"for k in iter(sol.keys()):\n",
" display(Eq(k,factor(sol[k])))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 162
},
"id": "BLNBCDJsBbBS",
"outputId": "07c9966f-5fba-4752-b9c9-bf9c2852fd70"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"\\thëta = u"
],
"text/latex": "$\\displaystyle \\ddot{\\theta} = u$"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
" ⎛ \n",
" -⎝J_w⋅u - \\ell⋅g⋅m_b⋅sin(\\varphi) + \\ell⋅m_b⋅r⋅u⋅cos(\\varphi) - \\ell\n",
"\\var̈phi = ───────────────────────────────────────────────────────────────────\n",
" 2 \n",
" J_b + J_w + \\ell ⋅m_b + 2⋅\\ell⋅m_b⋅r⋅cos(\\\n",
"\n",
" 2 2 2 ⎞ \n",
"⋅m_b⋅r⋅sin(\\varphi)⋅\\vaṙphi + m_b⋅r ⋅u + m_w⋅r ⋅u⎠ \n",
"─────────────────────────────────────────────────────\n",
" 2 2 \n",
"varphi) + m_b⋅r + m_w⋅r "
],
"text/latex": "$\\displaystyle \\ddot{\\varphi} = - \\frac{J_{w} u - \\ell g m_{b} \\sin{\\left(\\varphi \\right)} + \\ell m_{b} r u \\cos{\\left(\\varphi \\right)} - \\ell m_{b} r \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + m_{b} r^{2} u + m_{w} r^{2} u}{J_{b} + J_{w} + \\ell^{2} m_{b} + 2 \\ell m_{b} r \\cos{\\left(\\varphi \\right)} + m_{b} r^{2} + m_{w} r^{2}}$"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
" 2 2 \n",
" J_b⋅J_w⋅u - J_b⋅\\ell⋅m_b⋅r⋅sin(\\varphi)⋅\\vaṙphi + J_b⋅m_b⋅r ⋅u + J_b⋅m_w\n",
"τ = ──────────────────────────────────────────────────────────────────────────\n",
" \n",
" \n",
"\n",
" 2 2 3 2 \n",
"⋅r ⋅u + J_w⋅\\ell ⋅m_b⋅u + J_w⋅\\ell⋅g⋅m_b⋅sin(\\varphi) - \\ell ⋅m_b ⋅r⋅sin(\\varp\n",
"──────────────────────────────────────────────────────────────────────────────\n",
" \n",
" \n",
"\n",
" 2 2 2 2 2 2 2 \n",
"hi)⋅\\vaṙphi + \\ell ⋅g⋅m_b ⋅r⋅sin(\\varphi)⋅cos(\\varphi) - \\ell ⋅m_b ⋅r ⋅u⋅cos\n",
"──────────────────────────────────────────────────────────────────────────────\n",
" 2 2 2 \n",
" J_b + J_w + \\ell ⋅m_b + 2⋅\\ell⋅m_b⋅r⋅cos(\\varphi) + m_b⋅r + m_w⋅r \n",
"\n",
" 2 2 2 2 2 2 2 \n",
" (\\varphi) + \\ell ⋅m_b ⋅r ⋅u - \\ell ⋅m_b ⋅r ⋅sin(\\varphi)⋅cos(\\varphi)⋅\\vaṙph\n",
"──────────────────────────────────────────────────────────────────────────────\n",
" \n",
" \n",
"\n",
" 2 2 2 2 2 \n",
"i + \\ell ⋅m_b⋅m_w⋅r ⋅u + \\ell⋅g⋅m_b ⋅r ⋅sin(\\varphi) + \\ell⋅g⋅m_b⋅m_w⋅r ⋅sin(\n",
"──────────────────────────────────────────────────────────────────────────────\n",
" \n",
" \n",
"\n",
" \n",
"\\varphi)\n",
"─────\n",
" \n",
" "
],
"text/latex": "$\\displaystyle \\tau = \\frac{J_{b} J_{w} u - J_{b} \\ell m_{b} r \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + J_{b} m_{b} r^{2} u + J_{b} m_{w} r^{2} u + J_{w} \\ell^{2} m_{b} u + J_{w} \\ell g m_{b} \\sin{\\left(\\varphi \\right)} - \\ell^{3} m_{b}^{2} r \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell^{2} g m_{b}^{2} r \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\varphi \\right)} - \\ell^{2} m_{b}^{2} r^{2} u \\cos^{2}{\\left(\\varphi \\right)} + \\ell^{2} m_{b}^{2} r^{2} u - \\ell^{2} m_{b}^{2} r^{2} \\sin{\\left(\\varphi \\right)} \\cos{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell^{2} m_{b} m_{w} r^{2} u + \\ell g m_{b}^{2} r^{2} \\sin{\\left(\\varphi \\right)} + \\ell g m_{b} m_{w} r^{2} \\sin{\\left(\\varphi \\right)}}{J_{b} + J_{w} + \\ell^{2} m_{b} + 2 \\ell m_{b} r \\cos{\\left(\\varphi \\right)} + m_{b} r^{2} + m_{w} r^{2}}$"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WNsQ5z4V6zgf"
},
"source": [
"### 線形近似\n",
"次に状態変数を\n",
"$$\n",
"x = \\left[q^\\top,\\dot{q}^\\top \\right]^\\top = [\\varphi, \\theta, \\dot{\\varphi}, \\dot{\\theta}]^\\top\n",
"$$\n",
"とおき,\n",
"$$\n",
"\\dot{x} = A x + B u\n",
"$$\n",
"の形で線形近似システムを計算する."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 193
},
"id": "K0c7m_3V6zgf",
"outputId": "a06f1ece-1a1a-4160-f538-c34ff3e94fca"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"⎡ 0 0 1 0⎤\n",
"⎢ ⎥\n",
"⎢ 0 0 0 1⎥\n",
"⎢ ⎥\n",
"⎢ \\ell⋅g⋅m_b ⎥\n",
"⎢──────────────────────────────────── 0 0 0⎥\n",
"⎢ 2 2 ⎥\n",
"⎢J_b + J_w + m_b⋅(\\ell + r) + m_w⋅r ⎥\n",
"⎢ ⎥\n",
"⎣ 0 0 0 0⎦"
],
"text/latex": "$\\displaystyle \\left[\\begin{matrix}0 & 0 & 1 & 0\\\\0 & 0 & 0 & 1\\\\\\frac{\\ell g m_{b}}{J_{b} + J_{w} + m_{b} \\left(\\ell + r\\right)^{2} + m_{w} r^{2}} & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\end{matrix}\\right]$"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"⎡ 0 ⎤\n",
"⎢ ⎥\n",
"⎢ 0 ⎥\n",
"⎢ ⎥\n",
"⎢ 2 ⎥\n",
"⎢ -J_w - m_b⋅r⋅(\\ell + r) - m_w⋅r ⎥\n",
"⎢────────────────────────────────────⎥\n",
"⎢ 2 2⎥\n",
"⎢J_b + J_w + m_b⋅(\\ell + r) + m_w⋅r ⎥\n",
"⎢ ⎥\n",
"⎣ 1 ⎦"
],
"text/latex": "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\\\frac{- J_{w} - m_{b} r \\left(\\ell + r\\right) - m_{w} r^{2}}{J_{b} + J_{w} + m_{b} \\left(\\ell + r\\right)^{2} + m_{w} r^{2}}\\\\1\\end{matrix}\\right]$"
},
"metadata": {}
}
],
"source": [
"# Linearizerの仕様がよくわからないので\n",
"# τを使う運動方程式から生成されたLinearizerをベースとして\n",
"# \\ddot{\\theta}=u に相当する部分を書き換え\n",
"linearizer_tau = LM.to_linearizer(q_ind=q, qd_ind=dq)\n",
"f_2 = linearizer_tau.f_2\n",
"f_3 = linearizer_tau.f_3\n",
"f_2[1] = ddth\n",
"f_3[1] = -u\n",
"linearizer = Linearizer(\n",
" linearizer_tau.f_0,\n",
" linearizer_tau.f_1,\n",
" f_2,\n",
" f_3,\n",
" linearizer_tau.f_4,\n",
" [],[],[],\n",
" linearizer_tau.q,\n",
" linearizer_tau.u,\n",
" q_i=linearizer_tau.q_i,\n",
" u_i=linearizer_tau.u_i,r=[u])\n",
"\n",
"# 動作点を指定\n",
"op_point = {th: 0, dth: 0, phi: 0, dphi: 0}\n",
"\n",
"# 計算して表示\n",
"Aeq, Beq = linearizer.linearize(A_and_B=True, op_point=op_point)\n",
"display(simplify(Aeq))\n",
"display(simplify(Beq))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3A_CrDVh6zgf"
},
"source": [
"### 定数の代入\n",
"制御系設計に使うために$A,B$行列に含まれる定数に具体的な値を代入しておく."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 163
},
"id": "CRgKVSed6zgf",
"outputId": "132f7f0b-12cf-4ab1-efc2-ddded4886173"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"array([[ 0. , 0. , 1. , 0. ],\n",
" [ 0. , 0. , 0. , 1. ],\n",
" [62.89738243, 0. , 0. , 0. ],\n",
" [ 0. , 0. , 0. , 0. ]])"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"array([[ 0. ],\n",
" [ 0. ],\n",
" [-0.55566976],\n",
" [ 1. ]])"
]
},
"metadata": {}
}
],
"source": [
"# 定数類\n",
"constants = [\n",
" (mb, 0.1182), # 車体重量\n",
" (Jb, (19.4e-3**2)*55.79e-3+(21.6e-3**2)*62.42e-3), # 車体モーメント\n",
" (mw, 0.05218), # 車輪重量(2つ分)\n",
" (Jw, ((35e-3/2)**2)*0.05218), # 車輪モーメント(2つ分)\n",
" (l, 0.0216), # 車軸から車体重心までの距離\n",
" (r, 0.028), # 車輪半径\n",
" (g, 9.8), # 重力加速度\n",
"]\n",
"\n",
"# 代入\n",
"Am = np.array(Aeq.subs(constants), dtype=float)\n",
"Bm = np.array(Beq.subs(constants), dtype=float)\n",
"\n",
"# 表示\n",
"display(Am)\n",
"display(Bm)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Wc_Qpuqi6zgf"
},
"source": [
"## 極配置による制御系設計\n",
"\n",
"ここでは状態変数 $x = [x_b, \\theta_b, \\dot{x}_b, \\dot{\\theta}_b]^\\top$ にゲイン $K = [K_{x_b}, K_{\\theta_b}, K_{\\dot{x}_b}, K_{\\dot{\\theta}_b}]$ を乗じて制御入力を\n",
"$$\n",
" u = -Kx\n",
"$$\n",
"と定める状態フィードバックによる制御を試みる.\n",
"\n",
"このとき,対象システムのモデル\n",
"$$\n",
" \\dot{x} = Ax+Bu\n",
"$$\n",
"に$u=-Kx$を代入すると,状態フィードバックの下でシステムの運動は微分方程式\n",
"$$\n",
" \\dot{x} = (A-BK)x \\tag{1}\n",
"$$\n",
"に従うことがわかる.この微分方程式の解が\n",
"$$\n",
" \\lim_{t\\to\\infty} x= 0\n",
"$$\n",
"であれば,線形モデルにおいては倒立が実現できることになる.\n",
"\n",
"(1)の解が0に収束する条件は $A-BK$ の固有値の実部がすべて負であることである.\n",
"今,$A$と$B$は対象システムの構造から前節で求めたように決まっているので,\n",
"$K$を適切に設計して$A-BK$の固有値の実部がすべて負になるように設計することがここでの問題である.\n",
"\n",
"そのための方法の一つとして極配置法が知られている.これはまず,望ましい$A-BK$の固有値を設計者が定め,それを実現する$K$を逆算する方法である.\n",
"線形システムにおいてダイナミクスを表す行列(ここでは$A-BK$のこと)の固有値を制御分野では古典制御における伝達関数の極との対応から慣例的に「極」と呼んでおり,この方法は極を望みの位置に配置する方法であるので「極配置法」と呼ばれている.\n",
"\n",
"逆算の手順としてはアッカーマンアルゴリズムなどが知られている。ここでは Python Control Systems Library に含まれる実装を用いて以下のようにゲイン$K$を計算する.\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "mEPIbwwp6zgf",
"outputId": "a6b78dc5-3a4c-48ac-ae95-c7049aee458f"
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"\n",
"const double K[4] = {-176.86576459230827,-0.381573907746968, -19.426908727393176, -0.7949456411395166};\n",
"\n"
]
}
],
"source": [
"# TASK:望ましい極を定めよ\n",
"# 複素数は 1+2j のように表現できる\n",
"# 複素数の極は必ず共役のペアになっていなければならない\n",
"\n",
"pl = [-1, -2, -3, -4]\n",
"K = acker(Am, Bm, pl)\n",
"\n",
"# 計算されたゲインを表示.\n",
"# 制御用のコードにコピペすること\n",
"\n",
"print(f\"\"\"\n",
"const double K[4] = {{{K[0,0]},{K[0,1]}, {K[0,2]}, {K[0,3]}}};\n",
"\"\"\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Fy05Y38H6zgf"
},
"source": [
"念のため,実際に計算されたゲイン$K$が指定された極を実現しているかどうかを確認する."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
},
"id": "RIJpQ5OH6zgf",
"outputId": "0a82b77d-5e86-43ad-ec9a-865bf6a36227"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"array([-4., -3., -2., -1.])"
]
},
"metadata": {}
}
],
"source": [
"eigen_values, eigen_vectors = np.linalg.eig(Am - Bm @ K)\n",
"display(eigen_values)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NxaZcCRu6zgf"
},
"source": [
"さらに,線形モデルにおける初期値応答($x_0=[\\varphi,\\theta,\\dot{\\varphi},\\dot{\\theta}]^\\top=[0,-1,0,0]^\\top$から制御を行ったときの応答)を以下のように計算できる."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "ubMhPOIL6zgf",
"outputId": "53a64424-2cb4-4cdd-e657-22499d0450d2"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x1200 with 4 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"P = ss(Am, Bm, eye(4), 0)\n",
"\n",
"yout, T = initial(feedback(P, K), X0=[0, -1, 0, 0])\n",
"\n",
"fig, axes = plt.subplots(nrows=4, sharex=True, figsize=(8, 12))\n",
"\n",
"labels = [r\"$\\varphi$ [rad]\", r\"$\\theta$ [rad]\", r\"$\\dot{\\varphi}$ [rad/s]\", r\"$\\dot{\\theta}$ [rad/s]\"]\n",
"\n",
"for k in range(4):\n",
" axes[k].plot(T, yout[:, k])\n",
" axes[k].set_ylabel(labels[k])\n",
" axes[k].grid(True)\n",
" axes[k].set_xlim(T[0], T[-1])\n",
"\n",
"axes[-1].set_xlabel(r\"$t$ [s]\")\n",
"\n",
"np.savez(\"simulation_inverted_pendulum.npz\", T=T, yout=yout)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dcFddPdb6zgf"
},
"source": [
"---\n",
"## 以下は手計算の答え合わせ用"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "Mf3DT28Q6zgf",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 642
},
"outputId": "65fc6124-b828-4418-ad5b-fcd0819d1bc6"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<IPython.core.display.Markdown object>"
],
"text/markdown": "$$x_w = - r \\left(\\theta + \\varphi\\right)$$\n\n---\n\n$$x_b = - \\ell \\sin{\\left(\\varphi \\right)} - r \\theta - r \\varphi$$\n\n---\n\n$$y_b = \\ell \\cos{\\left(\\varphi \\right)}$$\n\n---\n\n$$U = \\ell g m_{b} \\cos{\\left(\\varphi \\right)}$$\n\n---\n\n$$T = \\frac{J_{b} \\dot{\\varphi}^{2}}{2} + \\frac{J_{w} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2} + \\frac{m_{b} \\left(\\ell^{2} \\sin^{2}{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\left(\\ell \\cos{\\left(\\varphi \\right)} \\dot{\\varphi} + r \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)\\right)^{2}\\right)}{2} + \\frac{m_{w} r^{2} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)^{2}}{2}$$\n\n---\n\n$$\\frac{\\partial T}{\\partial \\dot{\\phi}} = J_{b} \\dot{\\varphi} + J_{w} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right) + m_{b} \\left(\\ell^{2} \\dot{\\varphi} + \\ell r \\cos{\\left(\\varphi \\right)} \\dot{\\theta} + 2 \\ell r \\cos{\\left(\\varphi \\right)} \\dot{\\varphi} + r^{2} \\dot{\\theta} + r^{2} \\dot{\\varphi}\\right) + m_{w} r^{2} \\left(\\dot{\\theta} + \\dot{\\varphi}\\right)$$\n\n---\n\n$$\\frac{d}{dt}\\frac{\\partial T}{\\partial \\dot{\\phi}} = J_{b} \\ddot{\\varphi} + J_{w} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right) + m_{b} \\left(\\ell^{2} \\ddot{\\varphi} - \\ell r \\sin{\\left(\\varphi \\right)} \\dot{\\theta} \\dot{\\varphi} - 2 \\ell r \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell r \\cos{\\left(\\varphi \\right)} \\ddot{\\theta} + 2 \\ell r \\cos{\\left(\\varphi \\right)} \\ddot{\\varphi} + r^{2} \\ddot{\\theta} + r^{2} \\ddot{\\varphi}\\right) + m_{w} r^{2} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right)$$\n\n---\n\n$$\\frac{\\partial T}{\\partial \\phi} = - \\ell m_{b} r \\left(\\dot{\\theta} + \\dot{\\varphi}\\right) \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}$$\n\n---\n\n$$0 = J_{w} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right) + m_{b} r \\left(- \\ell \\sin{\\left(\\varphi \\right)} \\dot{\\varphi}^{2} + \\ell \\cos{\\left(\\varphi \\right)} \\ddot{\\varphi} + r \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right)\\right) + m_{w} r^{2} \\left(\\ddot{\\theta} + \\ddot{\\varphi}\\right) - \\tau$$\n\n---\n\n$$A = \\left[\\begin{matrix}0 & 0 & 1 & 0\\\\0 & 0 & 0 & 1\\\\\\frac{\\ell g m_{b}}{J_{b} + J_{w} + m_{b} \\left(\\ell + r\\right)^{2} + m_{w} r^{2}} & 0 & 0 & 0\\\\0 & 0 & 0 & 0\\end{matrix}\\right]$$\n\n---\n\n$$B = \\left[\\begin{matrix}0\\\\0\\\\\\frac{- J_{w} - m_{b} r \\left(\\ell + r\\right) - m_{w} r^{2}}{J_{b} + J_{w} + m_{b} \\left(\\ell + r\\right)^{2} + m_{w} r^{2}}\\\\1\\end{matrix}\\right]$$\n\n---\n\n"
},
"metadata": {}
}
],
"source": [
"from IPython.display import Markdown\n",
"\n",
"T = (B.kinetic_energy(N) + W.kinetic_energy(N)).simplify()\n",
"U = B.potential_energy\n",
"\n",
"M0, A0, B0 = linearizer.linearize(A_and_B=False, op_point=op_point)\n",
"ddxb = diff(dxb, t)\n",
"items = [\n",
" {\"lhs\": r\"x_w\", \"rhs\": xw.simplify()},\n",
" {\"lhs\": r\"x_b\", \"rhs\": xb.simplify()},\n",
" {\"lhs\": r\"y_b\", \"rhs\": yb.simplify()},\n",
" {\"lhs\": r\"U\", \"rhs\": U.simplify()},\n",
" {\"lhs\": \"T\", \"rhs\": T.simplify()},\n",
" {\"lhs\": r\"\\frac{\\partial T}{\\partial \\dot{\\phi}}\", \"rhs\": diff(T,dphi).simplify()},\n",
" {\"lhs\": r\"\\frac{d}{dt}\\frac{\\partial T}{\\partial \\dot{\\phi}}\", \"rhs\": diff(diff(T,dphi),t).simplify()},\n",
" {\"lhs\": r\"\\frac{\\partial T}{\\partial \\phi}\", \"rhs\": diff(T,phi).simplify()},\n",
" {\"lhs\": r\"0\",\"rhs\":EoM[1]},\n",
" {\"lhs\": r\"A\", \"rhs\": simplify(Aeq)},\n",
" {\"lhs\": r\"B\", \"rhs\": simplify(Beq)},\n",
"]\n",
"\n",
"out = \"\"\n",
"for i in items:\n",
" if \"title\" in i:\n",
" out += i[\"title\"]\n",
" out += r\"$${} = {}$${}---{}\".format(i[\"lhs\"], mlatex(i[\"rhs\"]), \"\\n\\n\", \"\\n\\n\")\n",
"\n",
"display(Markdown(out))"
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "0qbc2eouhn_M"
},
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.6"
},
"colab": {
"provenance": [],
"include_colab_link": true
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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