16_06_T22_Cascade_Aircraft.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1aa243d4-bdb2-4142-8ec6-c94a884f692a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Basic file found\n",
      "Running Python: 3.12.8\n",
      "Running Sympy: 1.13.2\n",
      "Control Package Found\n"
     ]
    }
   ],
   "source": [
    "import requests as req, os\n",
    "\n",
    "URL = \"https://raw.githubusercontent.com/mit-acl/16_06_Class/main/\"\n",
    "File = [\"basic_material.py\",\"control_materials.py\"]\n",
    "\n",
    "if not os.path.isfile(File[0]):\n",
    "    print('Basic files not found - downloading them')\n",
    "    for dfile in File:\n",
    "        if not os.path.isfile(dfile):\n",
    "            print(\"Downloading \"+dfile)\n",
    "            res = req.get(URL+dfile)\n",
    "            file = open(dfile, 'w')\n",
    "            file.write(res.text)\n",
    "            file.close()\n",
    "\n",
    "print('Basic file found')\n",
    "%run basic_material.py\n",
    "\n",
    "from control.matlab import tf, rlocus, step, feedback, lsim, bode, ss\n",
    "from control import pade\n",
    "\n",
    "from control_materials import *"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25374506",
   "metadata": {},
   "source": [
    "# B747 longitudinal dynamics\n",
    "## B747 at Mach 0.8, 40,000ft, level-flight\n",
    "## From Etkin and Reid page 166"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d69c1b54-4778-4d70-9a4f-dfe66cc4440a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<TransferFunction>: sys[3]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "    -1.157 s - 0.3435\n",
      "--------------------------\n",
      "s^3 + 0.741 s^2 + 0.9272 s\n",
      "\n",
      "<TransferFunction>: sys[6]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "   -5.471 s^2 - 275.3 s\n",
      "--------------------------\n",
      "s^3 + 0.741 s^2 + 0.9272 s\n",
      "\n",
      "<TransferFunction>: sys[10]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "5.471 s^2 + 2.343 s - 81.04\n",
      "----------------------------\n",
      "s^4 + 0.741 s^3 + 0.9272 s^2\n",
      "\n"
     ]
    }
   ],
   "source": [
    "INT=tf(1,[1, 0])\n",
    "# metric   \n",
    "Xu=-1.982e3;Xw=4.025e3;\n",
    "Zu=-2.595e4;Zw=-9.030e4;Zq=-4.524e5;Zwd=1.909e3\n",
    "Mu=1.593e4;Mw=-1.563e5;Mq=-1.521e7;Mwd=-1.702e4\n",
    "\n",
    "g=9.81;theta0=0;S=511;cbar=8.324;\n",
    "U0=235.9;Iyy=.449e8;m=2.83176e6/g;cbar=8.324;rho=0.3045;\n",
    "Xdp=.3*m*g;Zdp=0;Mdp=0;\n",
    "Xde=-3.818e-6*(1/2*rho*U0**2*S);Zde=-0.3648*(1/2*rho*U0**2*S);\n",
    "Mde=-1.444*(1/2*rho*U0**2*S*cbar);\n",
    "\n",
    "# add theta state [w p th]\n",
    "Asp = np.array([[Zw/m,U0, 0],[(Mw+Mwd*Zw/m)/Iyy, (Mq+Mwd*U0)/Iyy, 0],[0, 1, 0]])\n",
    "Bsp = np.array([Zde/m , (Mde + Mwd*Zde/m)/Iyy, 0]).reshape(3,1)\n",
    "\n",
    "Gth=near_zero(tf(ss(Asp,Bsp,np.array([0, 0, 1]),0)))\n",
    "print(Gth)\n",
    "Gw=near_zero(tf(ss(Asp,Bsp,np.array([1, 0, 0]),0)))\n",
    "print(Gw)\n",
    "Gh = INT*near_zero(tf(ss(Asp,Bsp,np.array([-1, 0, U0]),0)))\n",
    "print(Gh)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9aba5960",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\frac{5.471 s^2 + 2.343 s - 81.04}{s^4 + 0.741 s^3 + 0.9272 s^2}$$"
      ],
      "text/plain": [
       "TransferFunction(array([   5.471,    2.343,  -81.036]), array([   1.000,    0.741,    0.927,    0.000,    0.000]))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x750 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ghde = near_zero(Gh)\n",
    "fig, ax = plt.subplots(1,figsize=(8, 5),dpi=150)\n",
    "control.pzmap(Ghde,ax=ax)\n",
    "ax.set_xlim(-10,10)\n",
    "nicegrid(ax)\n",
    "Ghde"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "51a1aedb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.26209066+0.j         -1.97485707+1.99100047j -1.97485707-1.99100047j]\n",
      "\n",
      "Found breakin/out at K = 2.173\n",
      "At possible locations s = -4.001\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 750x750 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Found breakin/out at K = 0.000\n",
      "At possible locations s = 0.000\n",
      "\n",
      "Found breakin/out at K = 1.099\n",
      "At possible locations s = -5.514\n",
      "\n",
      "Found breakin/out at K = 0.000\n",
      "At possible locations s = -0.127\n",
      "\n",
      "Found breakin/out at K = 3.235\n",
      "At possible locations s = 5.704\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<TransferFunction>: sys[150]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "         6.942 s + 2.061\n",
      "---------------------------------\n",
      "s^3 + 4.212 s^2 + 8.899 s + 2.061\n",
      "\n",
      "<TransferFunction>: sys[154]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "    -32.83 s^2 - 14.06 s + 486.2\n",
      "-------------------------------------\n",
      "s^4 + 4.212 s^3 + 8.899 s^2 + 2.061 s\n",
      "\n",
      "<TransferFunction>: sys[10]\n",
      "Inputs (1): ['u[0]']\n",
      "Outputs (1): ['y[0]']\n",
      "\n",
      "\n",
      "5.471 s^2 + 2.343 s - 81.04\n",
      "----------------------------\n",
      "s^4 + 0.741 s^3 + 0.9272 s^2\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([  -4.069,    3.640])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Inner loop gains\n",
    "Kp=-6;Kd = .5*Kp # old design\n",
    "Acl = Asp - Bsp*np.array([0, Kd, Kp])\n",
    "ev_inner = np.linalg.eig(Acl)\n",
    "print(ev_inner[0])\n",
    "\n",
    "# Inner loop controller\n",
    "Gc_th = tf([Kd, Kp],[1])\n",
    "L = Gth*Gc_th\n",
    "\n",
    "fig, ax = plt.subplots(1,figsize=(5, 5),dpi=150,sharex=True)\n",
    "rlocus(L,Root_Locus_gains(L),grid=False,ax=ax)\n",
    "Gcl = feedback(L,1)\n",
    "plt.plot(Gcl.poles().real, Gcl.poles().imag, 'rx', markersize=10)\n",
    "plt.xlabel('Real')\n",
    "plt.ylabel('Imaginary')\n",
    "plt.title('CLP Poles of SP')\n",
    "plt.suptitle(\"\")\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "Gth_inner = near_zero(tf(ss(Acl,Bsp*Kp,np.array([0, 0, 1]),0)))\n",
    "Gh_inner = INT*near_zero(tf(ss(Acl,Bsp*Kp,np.array([-1, 0, U0]),0)))\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(8, 4), dpi=150, sharex=True, sharey=True)\n",
    "\n",
    "# Plot root locus of Gh\n",
    "rlocus(Ghde, Root_Locus_gains(Ghde), ax=ax[0], grid=False)\n",
    "ax[0].set_title('Root Locus of Gh')\n",
    "ax[0].set_xlabel('Real')\n",
    "ax[0].set_ylabel('Imaginary')\n",
    "ax[0].set_xlim([-.3, .3])\n",
    "ax[0].set_ylim([-.3, .3])\n",
    "\n",
    "# Plot root locus of Gh_inner\n",
    "rlocus(Gh_inner, Root_Locus_gains(Gh_inner,logspace(-4,-2,1000)), ax=ax[1], grid=False)\n",
    "ax[1].set_title('Root Locus of Gh_inner')\n",
    "ax[1].set_xlabel('Real')\n",
    "ax[1].set_xlim([-.3, .3])\n",
    "ax[1].set_ylim([-.3, .3])\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(Gth_inner)\n",
    "print(Gh_inner)\n",
    "print(Gh)\n",
    "\n",
    "np.roots(Gh_inner.num[0][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bc4fef65-7960-44a6-b573-dfc8deb54279",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x750 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "omega = np.logspace(-3,1,1000)\n",
    "j = complex(0,1)\n",
    "G1f = U0*INT(j*omega)\n",
    "G2f = Gh_inner(j*omega)\n",
    "\n",
    "fig, ax = plt.subplots(2,1,figsize=(8, 5),dpi=150,sharex=True)\n",
    "ax[0].loglog(omega,np.abs(G1f),'b',label=r'$L_{approx} = U_0/s$')\n",
    "ax[1].semilogx(omega,np.angle(G1f)*r2d,'b',label=r'$L_{approx}$')\n",
    "ax[0].loglog(omega,np.abs(G2f),'g--',label=r'$L_{actual}$')\n",
    "ax[1].semilogx(omega,np.unwrap(np.angle(G2f))*r2d,'g--',label=r'$L_{actual}$')\n",
    "ax[0].legend()\n",
    "ax[1].legend()\n",
    "ax[0].set_ylabel('Magnitude')\n",
    "ax[1].set_ylabel('Phase (degrees)')\n",
    "ax[1].set_xlabel('Frequency (rad/s)')\n",
    "ax[0].set_title('Loop L')\n",
    "savefig(\"figs/gh_inner.pdf\", dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "4f24253e-b775-4d6c-beab-cb40e3db9b5f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  -0.028]\n",
      "[-1.98129694+1.98759609j -1.98129694-1.98759609j -0.10027763+0.05822884j\n",
      " -0.10027763-0.05822884j -0.04865567+0.j        ]\n",
      "\n",
      "Found breakin/out at K = 1.235\n",
      "At possible locations s = -0.056\n",
      "\n",
      "Found breakin/out at K = -0.000\n",
      "At possible locations s = 0.000\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 750x750 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Found breakin/out at K = -0.000\n",
      "At possible locations s = 0.000\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 750x750 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wn = .05;  # desired natural frequency\n",
    "z = .9;  #[1 2*z*wn wn**2] = [1 kp*U0 Ki*U0]\n",
    "K2 = 2*z*wn/U0\n",
    "Ki = wn**2/U0\n",
    "PI = tf([K2, Ki],[1, 0]) # PI controller\n",
    "print(np.roots(PI.num[0][0]))\n",
    "L = Gh_inner*PI; # actual loop\n",
    "Hcl = feedback(L,1); # negative fb\n",
    "ev_h = Hcl.poles()\n",
    "print(ev_h)\n",
    "\n",
    "L_approx = PI*U0*INT;\n",
    "Hcl_approx = ss(feedback(L_approx,1)); # negative fb\n",
    "ev_h_approx = np.linalg.eig(Hcl_approx.A)\n",
    "\n",
    "fig, ax = plt.subplots(1,figsize=(5, 5),dpi=150,sharex=True)\n",
    "rlocus(L_approx,kvect=Root_Locus_gains(L_approx),color='b',grid = False)\n",
    "temp_cl = feedback(L_approx,1)\n",
    "plt.plot(temp_cl.poles().real,temp_cl.poles().imag,'rs')\n",
    "ax.set_xlim([-.3, .3])\n",
    "ax.set_ylim([-.3, .3])\n",
    "ax.set_title('Root Locus using Approx Model')\n",
    "plt.suptitle(\"\")\n",
    "savefig(\"figs/RL_approx.pdf\", dpi=600)\n",
    "plt.show()\n",
    "\n",
    "fig, ax = plt.subplots(1,figsize=(5, 5),dpi=150,sharex=True)\n",
    "rlocus(L,kvect=Root_Locus_gains(L,Krange=np.logspace(-1,.75,3000)),color='b',grid=False);\n",
    "temp_cl = feedback(L,1)\n",
    "plt.plot(temp_cl.poles().real,temp_cl.poles().imag,'rs')\n",
    "ax.set_xlim([-.3, .3])\n",
    "ax.set_ylim([-.3, .3])\n",
    "ax.set_title('Root Locus using Actual Model')\n",
    "plt.suptitle(\"\")\n",
    "savefig(\"figs/RL_act.pdf\", dpi=600)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "71946179-81df-49e4-b862-c64f469bba0e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x750 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G1f = Hcl_approx(j*omega)\n",
    "G2f = Hcl(j*omega)\n",
    "\n",
    "fig, ax = plt.subplots(2,1,figsize=(8, 5),dpi=150,sharex=True)\n",
    "ax[0].loglog(omega,np.abs(G1f),'b',label=r'$T_{approx}$')\n",
    "ax[1].semilogx(omega,np.angle(G1f)*r2d,'b',label=r'$T_{approx}$')\n",
    "ax[0].loglog(omega,np.abs(G2f),'g--',label=r'$T_{actual}$')\n",
    "ax[1].semilogx(omega,np.unwrap(np.angle(G2f))*r2d,'g--',label=r'$T_{actual}$')\n",
    "ax[0].legend()\n",
    "ax[1].legend()\n",
    "ax[0].set_ylabel('Magnitude')\n",
    "ax[1].set_ylabel('Phase (degrees)')\n",
    "ax[1].set_xlabel('Frequency (rad/s)')\n",
    "ax[0].set_title('Closed-loop T')\n",
    "savefig(\"figs/ghcl.pdf\", dpi=600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "382e5bd3-5f85-4554-8757-925c0a54d5a6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x750 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1,figsize=(8, 5),dpi=150,sharex=True)\n",
    "y,t = step(Hcl)\n",
    "plt.plot(t,y)\n",
    "nicegrid(ax)\n",
    "plt.title('Step response of actual closed-loop |T|')\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('Response')\n",
    "savefig(\"figs/hcl.pdf\", dpi=600)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "venv312",
   "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": "3.12.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}