{ "cells": [ { "cell_type": "markdown", "id": "8160c335-a0a3-4ec4-8ff3-e05e884e91c4", "metadata": {}, "source": [ "# Control theory. Course introduction.\n", "\n", "## TP3. Controllability and Observability\n", "## Study load\n", "\n", "Course grade breakdown:\n", "\n", " Labs - 40%\n", " \n", " Final project presentation 30%\n", "\n", " Final test 30%\n", " \n", "File name for lab submission: yourname_labnumber.ipynb (example: elenavanneaux_TP2.ipynb) \n", "\n", "The completed notebooks should be sent to your tutor (elena.vanneaux@ensta.fr or adnan.saood@ensta.fr) before the beginning of the next session. Please add [APM_4AUT2_TA] to the topic of e-mail.\n", "\n", "## Prerequisites for practice\n", "### Math\n", "During the course, we will cover the following areas of mathematics:\n", " \n", " 1. Linear Algebra\n", "\n", " 2. Calculus\n", "\n", " 3. Differential equations\n", "\n", " 4. Dynamics (Mechanics and Physics)\n", "\n", "### Python programming\n", "In the labs we will use a Python programming language and the following libraries:\n", "\n", " 1. NumPy https://numpy.org/doc/stable/\n", "\n", " 2. SciPy https://docs.scipy.org/doc/scipy/\n", "\n", " 3. Matplotlib https://matplotlib.org/stable/tutorials/index\n", "\n", " 4. SymPy https://docs.sympy.org/latest/tutorials/intro-tutorial/intro.html\n", "\n", " 5. Control System Library https://python-control.readthedocs.io/en/0.10.1/intro.html\n", "\n", "### Jupyter Notebook Markdown Cells Documentation\n", "\n", "Please check on Markdown cells documentation, to provide a fancy look for your notebooks!\n", "\n", "https://jupyter-notebook.readthedocs.io/en/stable/examples/Notebook/Working%20With%20Markdown%20Cells.html" ] }, { "cell_type": "code", "execution_count": 73, "id": "3ebff546-acb3-4970-9d8f-0f862204772c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.integrate import odeint\n", "import matplotlib.pyplot as plt\n", "\n", "# x is a state vecot, t is a current time, A is a dynamic matrix, B is a control matrix, D is a disturbance matrix, \n", "# u_func(t) is a control input, w_func(t) is a disturbance input \n", "def StateSpace(x, t, A, B, D, u_func, w_func):\n", " w = w_func(t)\n", " u = u_func(t)\n", " return np.dot(A, x) + np.dot(B, u).flatten() + np.dot(D, w).flatten()\n", "\n", "# OpenLoopInputOutputSystem with time-dependent w(t)\n", "def OpenLoopInputOutputSystem(A, B, D, C, u_func, w_func, T, x0):\n", " # Solve the ODE system with odeint, passing the time-dependent w function\n", " solution = odeint(StateSpace, x0, T, args=(A, B, D, u_func, w_func))\n", " # Output calculation using C and the solution\n", " # return (C @ solution.T) \n", " return (solution.T) \n", "\n", "def PID(A, B, D, C, Kp, Ki, Kd, r_func, w_func, T, x0):\n", " z0 = np.array([[0.0]])\n", " x_a = np.block([[x0.reshape(-1,1)],[z0]])\n", " M = np.eye(x0.shape[0]) + Kd*B @ C\n", " A_a = np.block([[np.linalg.inv(M) @ (A - Kp * B @ C), -Ki * np.linalg.inv(M) @ B ], [C, np.array([0.0])]])\n", " B_a = np.block([[Kp * np.linalg.inv(M) @ B ], [np.array([1.0])]])\n", " D_a = np.block([[np.linalg.inv(M) @ D],[np.array([[0.0]])]])\n", " C_a = np.block([C, np.array([[0.0]])])\n", " return OpenLoopInputOutputSystem(A_a, B_a, D_a, C_a, r_func, w_func, T, x_a.flatten()).T" ] }, { "cell_type": "code", "execution_count": 82, "id": "bdbecbf3-6b4a-4250-acab-91864a74deb0", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Position ')" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import sympy as sp\n", "from matplotlib.pyplot import *\n", "# Answer to EX1 q1 using symbolic calculs\n", "# Define symbolic variables\n", "M, m, b, l, I, g, F = sp.symbols('M m b l I g F')\n", "y, y1, theta, theta1, doty1, dottheta1 = sp.symbols('y y1 theta theta1 doty1 dottheta1')\n", "\n", "# Define the differential equations of the system\n", "eq1 = (M+m)*doty1 + b*y1 + m*l*dottheta1*sp.cos(theta) - m*l*theta1**2*sp.sin(theta) - F\n", "eq2 = m*l*sp.cos(theta)*doty1 + (I+m*l**2)*dottheta1 - m*g*l*sp.sin(theta)\n", "\n", "# Solve for the first derivative of theta1 (angular velocity)\n", "dottheta1_sol = sp.solve(eq2, dottheta1)[0]\n", "\n", "# Solve for the first derivative of y1 (linear velocity)\n", "doty1_sol = sp.simplify(sp.solve(eq1.subs(dottheta1, dottheta1_sol), doty1)[0])\n", "dottheta1_sol = sp.simplify(dottheta1_sol.subs(doty1,doty1_sol))\n", "\n", "# Define the state-space representation of the system dynamics\n", "f1 = y1\n", "f2 = doty1_sol \n", "f3 = theta1\n", "f4 = dottheta1_sol\n", "f = sp.Matrix([f1, f2, f3, f4])\n", "\n", "# Define state and control variables\n", "variables_x = sp.Matrix([y,y1,theta,theta1])\n", "variables_u = sp.Matrix([F])\n", "\n", "# Compute the Jacobian matrices of the system\n", "jacobian_A = sp.simplify(f.jacobian(variables_x).subs([(theta,0), (theta1,0)]))\n", "jacobian_B = sp.simplify(f.jacobian(variables_u).subs([(theta,0), (theta1,0)]))\n", "\n", "A = np.array(jacobian_A.subs({M:2.5, m:0.2, b:0.1,l:0.7, I:0.006, g:9.81}).evalf()).astype(float)\n", "B = np.array(jacobian_B.subs({M:2.5, m:0.2, b:0.1,l:0.7, I:0.006, g:9.81}).evalf()).astype(float).reshape(4,1)\n", "C = np.array([[1,0,0,0],[0,0,1,0]]) \n", "D = B\n", "\n", "x0 = np.array([0,\n", " 0,\n", " 0,\n", " 0]) # initial state\n", "\n", "MatC = np.array([[0,0,1,0]]) # Let us assume that we measure only theta\n", "y_ref = 1 # and we want to track constant reference equal to 1 rad. The latter correspond a state responce if the system\n", "\n", "Kp= 120;\n", "Ki = 80;\n", "Kd = 50;\n", "\n", "t0 = 0 # Initial time \n", "tf = 2 # Final time\n", "T = np.linspace(t0, tf, 1000) \n", "\n", "def w_func(t):\n", " return 1.0# Disturbance input\n", "\n", "def r_func(t):\n", " return 0.0# Disturbance input\n", "\n", "\n", "solution = PID(A, B, D, MatC , Kp, Ki, Kd, r_func, w_func, T, x0)\n", "\n", "\n", "figure(figsize=(12, 5))\n", "y = solution[:,2]\n", "\n", "subplot(1, 2, 1)\n", "plot(T, y, linewidth=2.0, color = 'red')\n", "grid(color='black', linestyle='--', linewidth=1.0, alpha = 0.7)\n", "grid(True)\n", "xlabel('time')\n", "xlim([t0, tf])\n", "plt.legend(['PID(120,80, 50)' ])\n", "ylabel(r'Angle ')\n", "\n", "y = solution[:,0]\n", "subplot(1, 2, 2)\n", "plot(T, y, linewidth=2.0, color = 'red')\n", "grid(color='black', linestyle='--', linewidth=1.0, alpha = 0.7)\n", "grid(True)\n", "xlim([t0, tf])\n", "xlabel('time')\n", "plt.legend(['PID(120,80, 50)' ])\n", "ylabel(r'Position ')" ] }, { "cell_type": "markdown", "id": "74d78fa5-6a8f-46c7-830e-547c1b83c6a2", "metadata": {}, "source": [ "## Ex 1. Duality of Controllability and Observability\n", "\n", "Prove that a pair of matrices (A,B) is controllable if and only if a pair of matrices (A^T, B^T) is observable." ] }, { "cell_type": "code", "execution_count": null, "id": "5981ae2e-ef19-4040-83ae-86efcf0ecd33", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "bc0cdef5-387e-446f-a3e9-8ccbee8ad3d6", "metadata": {}, "source": [ "## Ex 2. Invariance Under Nonsingular Transformations.\n", "\n", "Consider $\\dot x = Ax + Bu$ and similarity transformation $\\tilde x = Tx$, where $T$ is invertible.\n", "\n", "Prove that the system $\\dot x = Ax + Bu$ is controllable if and only if the system $\\dot {\\tilde x} = \\tilde{A}\\tilde{x} + \\tilde{B}u$ is controllable." ] }, { "cell_type": "code", "execution_count": null, "id": "cdd06a90-a3d9-4d38-98c8-2183e37f4fd2", "metadata": {}, "outputs": [], "source": [] }, { "attachments": { "08b25ed2-2627-4f32-996f-e05af2180c8a.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "0995a706-3a17-4a64-90a6-eb5c77ab0049", "metadata": {}, "source": [ "## Ex 3. Quadruple-Tank Process\n", "\n", "![WaterTanks.png](attachment:08b25ed2-2627-4f32-996f-e05af2180c8a.png)\n", "\n", "Let us consider the Quadruple-Tank Process. A schematic diagram of the process is shown in the Figure above. The\n", "target is to control the level in the lower two tanks with two pumps. The process inputs are $v_1$ and $v_2$ (input voltages to the pumps) and the outputs are $y_1$ and $y_2$ (water levels in the lower two tanks). Mass balances and Bernoulli’s law yield:\n", "\n", "$$\n", "\\dfrac{dh_1}{dt} = -\\dfrac{a_1}{A_1}\\sqrt{2gh_1} + \\dfrac{a_3}{A_1}\\sqrt{2gh_3} + \\dfrac{\\gamma_1k_1}{A_1}v_1 = f_1(h_1,h_2,h_3,h_4,v_1,v_2)\n", "$$\n", "$$\n", "\\dfrac{dh_2}{dt} = -\\dfrac{a_2}{A_2}\\sqrt{2gh_2} + \\dfrac{a_4}{A_2}\\sqrt{2gh_4} + \\dfrac{\\gamma_2k_2}{A_2}v_2 = f_2(h_1,h_2,h_3,h_4,v_1,v_2)\n", "$$\n", "$$\n", "\\dfrac{dh_3}{dt} = -\\dfrac{a_3}{A_3}\\sqrt{2gh_3} + \\dfrac{(1-\\gamma_2)k_2}{A_3}v_2 = f_3(h_1,h_2,h_3,h_4,v_1,v_2)\n", "$$\n", "$$\n", "\\dfrac{dh_4}{dt} = -\\dfrac{a_4}{A_4}\\sqrt{2gh_4} + \\dfrac{(1-\\gamma_1)k_1}{A_4}v_1 = f_4(h_1,h_2,h_3,h_4,v_1,v_2)\n", "$$\n", "where\n", "\n", "$A_i$ is a cross-section of Tank i\n", "\n", "$a_i$ is a cross-section of outlet hole of Tank i\n", "\n", "$h_i$ is a water level.\n", "\n", "The voltage applied to Pump $i$ is $v_i$ and the corresponding flow\n", "is $k_iv_i$. The parameters $\\gamma_1,\\gamma_2\\in (0,1)$ are determined from how the valves are set prior to experiment. The flow to Tank 1\n", "is $\\gamma_1k_1v_1$ and the flow to Tank 4 is $(1-\\gamma_1)k_1v_1$ and similarly\n", "for Tank 2 and Tank 3. The acceleration of gravity is denoted $g$.\n", "The measured level signals are $k_c h_1$ and $k_c h_2$. The parameter\n", "values of the laboratory process are given in the following table\n", "\n", " A_1, A_3 [cm^2] 28\n", " A_2, A_4 [cm^2] 32\n", " a_1, a_3 [cm^2] 0.071\n", " a_2, a_4 [cm^2] 0.057\n", " k_c [V/cm] 0.50\n", " g [cm/s^2] 9.81\n", " k_1 [cm^3/Vs] 3.33\n", " k_2 [cm^3/Vs] 3.35\n", " gamma_1 0.70\n", " gamma_2 0.60\n", " \n", "Check the following paper for more details on the model. \n", "https://www.diva-portal.org/smash/get/diva2:495784/FULLTEXT01.pdf\n", " \n", "## TODO\n", "1. Linearise the system around the operating point \n", "$$(h_1^0,h_2^0,h_3^0,h_4^0, v_1^0, v_2^0) = (12.4,12.7,1.8,1.4,3.00,3.00).$$\n", "Pass to shifted variables $x_i = h_i-h_i^0, u_i = v_i - v_i^0.$\n", "\n", "2. Is the linear system controllable? Is the linear system observable? Use the Kalman rank test to answer this question.\n", "\n", "3. Imagine that one of the pumps is broken and there is no flow through it. Does the system remain controllable?\n", "\n", "4. Let us measure the signals $x_3, x_4$ (i.e. matix $C = \\begin{pmatrix}0&0&1&0\\\\0&0&0&1\\end{pmatrix}$) instead of measuring the signals $x_1$ and $x_2.$ Is such a system observable?\n", "\n", "Remark. The functions control.ctrb and control.obsv from control system library might be useful to comple. https://python-control.readthedocs.io/en/0.10.1/generated/control.obsv.html " ] }, { "cell_type": "code", "execution_count": null, "id": "fb33387d-0d83-4ef3-80c6-12ce5ec9f70f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "c8a7f321-fb9a-4752-9955-fe9470c13bc3", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }