gen_ss.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [],
   "source": [
    "from era_okid_tools import *\n",
    "\n",
    "# Logistics\n",
    "warnings.simplefilter(\"ignore\", UserWarning)\n",
    "sympy.init_printing()\n",
    "figs_dir = (Path.cwd() / \"figs\")\n",
    "data_dir = (Path.cwd() / \"data\")"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Min. OKID Order: 25\n",
      "Max. OKID Order: 12.25\n",
      "Proposed OKID Order: 30\n"
     ]
    }
   ],
   "source": [
    "train_data = np.load(data_dir / f\"data_train.npz\")\n",
    "t_train = train_data[\"t\"].squeeze()\n",
    "U_train = train_data[\"U\"]\n",
    "Z_train = train_data[\"Z\"]\n",
    "\n",
    "test_data = np.load(data_dir / f\"data_test.npz\")\n",
    "t_test = test_data[\"t\"].squeeze()\n",
    "U_test = test_data[\"U\"]\n",
    "Z_test = test_data[\"Z\"]\n",
    "\n",
    "# Simulation dimensions\n",
    "n = 6 # Number of desired states\n",
    "r = U_train.shape[0] # Number of inputs\n",
    "m = Z_train.shape[0] # Number of measurements\n",
    "t_max = t_train[-1] # Total simulation time\n",
    "dt = t_train[1] - t_train[0] # Simulation timestep duration\n",
    "nt = t_train.shape[0] # Number of simulation timesteps\n",
    "\n",
    "# OKID logistics\n",
    "order = 30 # Observer order for OKID\n",
    "alpha, beta = 15, 10 # Number of block rows and columns in Hankel matrices\n",
    "n_era = 6 # Number of proposed states\n",
    "X_0 = np.zeros([n_era, 1]) # Zero initial condition\n",
    "\n",
    "print(f\"Min. OKID Order: {max([alpha + beta, (n_era/m) + (n_era/r)]):n}\")\n",
    "print(f\"Max. OKID Order: {(nt - r)/(r + m):n}\")\n",
    "print(f\"Proposed OKID Order: {order:n}\")"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rank of H(0): 20\n",
      "Rank of H(1): 20\n"
     ]
    },
    {
     "data": {
      "text/plain": "           ⎡1.03699   0.07844  0.00711   -0.01756  0.00569    0.0118 ⎤\n           ⎢                                                         ⎥\n           ⎢-0.14049  0.8991   -0.31477  0.01495   -0.06372  -9.0e-5 ⎥\n           ⎢                                                         ⎥\n           ⎢-0.03562  0.41889  0.77424   0.27263   -0.04393  -0.18965⎥\nA_{OKID} = ⎢                                                         ⎥\n           ⎢0.05564   0.03183  -0.34955  0.46723   0.70433   -0.06522⎥\n           ⎢                                                         ⎥\n           ⎢0.01032   0.09743  -0.08105  -0.73333  0.21128   -0.50363⎥\n           ⎢                                                         ⎥\n           ⎣-0.07502  0.00457  0.30822   -0.08292  0.57984   -0.05926⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle A_{OKID} = \\left[\\begin{matrix}1.03699 & 0.07844 & 0.00711 & -0.01756 & 0.00569 & 0.0118\\\\-0.14049 & 0.8991 & -0.31477 & 0.01495 & -0.06372 & -9.0 \\cdot 10^{-5}\\\\-0.03562 & 0.41889 & 0.77424 & 0.27263 & -0.04393 & -0.18965\\\\0.05564 & 0.03183 & -0.34955 & 0.46723 & 0.70433 & -0.06522\\\\0.01032 & 0.09743 & -0.08105 & -0.73333 & 0.21128 & -0.50363\\\\-0.07502 & 0.00457 & 0.30822 & -0.08292 & 0.57984 & -0.05926\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "           ⎡0.45525   0.01438 ⎤\n           ⎢                  ⎥\n           ⎢0.57541   0.01817 ⎥\n           ⎢                  ⎥\n           ⎢-0.57412  -0.01813⎥\nB_{OKID} = ⎢                  ⎥\n           ⎢-0.37244  -0.01176⎥\n           ⎢                  ⎥\n           ⎢-0.30587  -0.00966⎥\n           ⎢                  ⎥\n           ⎣0.37086   0.01171 ⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle B_{OKID} = \\left[\\begin{matrix}0.45525 & 0.01438\\\\0.57541 & 0.01817\\\\-0.57412 & -0.01813\\\\-0.37244 & -0.01176\\\\-0.30587 & -0.00966\\\\0.37086 & 0.01171\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "           ⎡0.02593  -0.03677  -0.05004  0.04272  -0.04133  -0.06252⎤\n           ⎢                                                        ⎥\n           ⎢0.0002   -0.00028  -0.00038  0.00033  -0.0003   -0.00045⎥\n           ⎢                                                        ⎥\n           ⎢0.24054  -0.34596  -0.42785  0.39013  -0.2894   -0.33867⎥\nC_{OKID} = ⎢                                                        ⎥\n           ⎢0.00137  -0.00198  -0.00235  0.0022   -0.00144  -0.00141⎥\n           ⎢                                                        ⎥\n           ⎢0.00017  -0.00024  -0.00032  0.00028  -0.00026  -0.00038⎥\n           ⎢                                                        ⎥\n           ⎣0.00146  -0.00211  -0.00252  0.00235  -0.00155  -0.00154⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle C_{OKID} = \\left[\\begin{matrix}0.02593 & -0.03677 & -0.05004 & 0.04272 & -0.04133 & -0.06252\\\\0.0002 & -0.00028 & -0.00038 & 0.00033 & -0.0003 & -0.00045\\\\0.24054 & -0.34596 & -0.42785 & 0.39013 & -0.2894 & -0.33867\\\\0.00137 & -0.00198 & -0.00235 & 0.0022 & -0.00144 & -0.00141\\\\0.00017 & -0.00024 & -0.00032 & 0.00028 & -0.00026 & -0.00038\\\\0.00146 & -0.00211 & -0.00252 & 0.00235 & -0.00155 & -0.00154\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "           ⎡  0.0    0.0⎤\n           ⎢            ⎥\n           ⎢-3.0e-5  0.0⎥\n           ⎢            ⎥\n           ⎢  0.0    0.0⎥\nD_{OKID} = ⎢            ⎥\n           ⎢  0.0    0.0⎥\n           ⎢            ⎥\n           ⎢  0.0    0.0⎥\n           ⎢            ⎥\n           ⎣  0.0    0.0⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle D_{OKID} = \\left[\\begin{matrix}0.0 & 0.0\\\\-3.0 \\cdot 10^{-5} & 0.0\\\\0.0 & 0.0\\\\0.0 & 0.0\\\\0.0 & 0.0\\\\0.0 & 0.0\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "                ⎡-1.44819 + 13.25214⋅ⅈ⎤\n                ⎢                     ⎥\n                ⎢-1.44819 - 13.25214⋅ⅈ⎥\n                ⎢                     ⎥\n                ⎢      -7.59182       ⎥\n\\hat{\\lambda} = ⎢                     ⎥\n                ⎢       0.01414       ⎥\n                ⎢                     ⎥\n                ⎢-1.67014 + 5.53804⋅ⅈ ⎥\n                ⎢                     ⎥\n                ⎣-1.67014 - 5.53804⋅ⅈ ⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle \\hat{\\lambda} = \\left[\\begin{matrix}-1.44819 + 13.25214 i\\\\-1.44819 - 13.25214 i\\\\-7.59182\\\\0.01414\\\\-1.67014 + 5.53804 i\\\\-1.67014 - 5.53804 i\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "                   ⎡13.33103⎤\n                   ⎢        ⎥\n                   ⎢13.33103⎥\n                   ⎢        ⎥\n                   ⎢7.59182 ⎥\n\\hat{\\omega}_{n} = ⎢        ⎥\n                   ⎢0.01414 ⎥\n                   ⎢        ⎥\n                   ⎢ 5.7844 ⎥\n                   ⎢        ⎥\n                   ⎣ 5.7844 ⎦",
      "image/png": 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\n",
      "text/latex": "$\\displaystyle \\hat{\\omega}_{n} = \\left[\\begin{matrix}13.33103\\\\13.33103\\\\7.59182\\\\0.01414\\\\5.7844\\\\5.7844\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "              ⎡0.10863⎤\n              ⎢       ⎥\n              ⎢0.10863⎥\n              ⎢       ⎥\n              ⎢  1.0  ⎥\n\\hat{\\zeta} = ⎢       ⎥\n              ⎢ -1.0  ⎥\n              ⎢       ⎥\n              ⎢0.28873⎥\n              ⎢       ⎥\n              ⎣0.28873⎦",
      "image/png": "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\n",
      "text/latex": "$\\displaystyle \\hat{\\zeta} = \\left[\\begin{matrix}0.10863\\\\0.10863\\\\1.0\\\\-1.0\\\\0.28873\\\\0.28873\\end{matrix}\\right]$"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Identify System Markov parameters and Observer Gain Markov parameters\n",
    "Y_okid, Y_og_okid = okid(Z_train, U_train,\n",
    "                         l_0 = order, alpha = alpha, beta = beta, n = n_era)\n",
    "# Identify state space model using System Markov parameters for ERA\n",
    "A_okid, B_okid, C_okid, D_okid, S_okid = \\\n",
    "    era(Y_okid, alpha = alpha, beta = beta, n = n_era)\n",
    "X_okid_train, Z_okid_train = \\\n",
    "    sim_ss(A_okid, B_okid, C_okid, D_okid,\n",
    "           X_0 = X_0, U = U_train, nt = nt)\n",
    "# Display outputs\n",
    "etch(f\"A_{{OKID}}\", A_okid)\n",
    "etch(f\"B_{{OKID}}\", B_okid)\n",
    "etch(f\"C_{{OKID}}\", C_okid)\n",
    "etch(f\"D_{{OKID}}\", D_okid)\n",
    "# Calculate and display eigenvalues\n",
    "eig_A_okid = spla.eig(d2c(A_okid, B_okid, dt)[0])[0] # Eigenvalues of identified system\n",
    "etch(f\"\\hat{{\\lambda}}\", eig_A_okid)\n",
    "etch(f\"\\hat{{\\omega}}_{{n}}\", np.abs(eig_A_okid))\n",
    "etch(f\"\\hat{{\\zeta}}\", -np.cos(np.angle(eig_A_okid)))\n",
    "X_okid_test, Z_okid_test = \\\n",
    "    sim_ss(A_okid, B_okid, C_okid, D_okid,\n",
    "           X_0 = X_0, U = U_test, nt = nt)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMS Error of sim. for system found via OKID for train data: [14.66437687  0.84248009  9.47542026  0.05990548  0.05153518  0.06319343]\n",
      "RMS Error of sim. for system found via OKID for test data: [13.60661274  3.5882413   9.29130234  0.11477739  0.27909333  0.12654084]\n"
     ]
    }
   ],
   "source": [
    "RMS_train = np.sqrt(np.mean((Z_okid_train - Z_train)**2, axis = 1))\n",
    "print(f\"RMS Error of sim. for system found via OKID for train data: {RMS_train}\")\n",
    "RMS_test = np.sqrt(np.mean((Z_okid_test - Z_test)**2, axis = 1))\n",
    "print(f\"RMS Error of sim. for system found via OKID for test data: {RMS_test}\")"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "source": [
    "# Eigenvalue plots\n",
    "fig, ax = plt.subplots(constrained_layout = True) # type:figure.Figure\n",
    "fig.suptitle(f\"OKID: Eigenvalues\", fontweight = \"bold\")\n",
    "\n",
    "ax.plot(np.real(eig_A_okid), np.imag(eig_A_okid),\n",
    "         \"s\", mfc = \"None\")\n",
    "\n",
    "fig.savefig(figs_dir / f\"okid_eigval.pdf\",\n",
    "            bbox_inches = \"tight\")\n",
    "\n",
    "# Singular Value plots\n",
    "fig, ax = plt.subplots(constrained_layout = True) # type:figure.Figure\n",
    "fig.suptitle(f\"OKID: Singular Values\", fontweight = \"bold\")\n",
    "\n",
    "ax.semilogy(np.linspace(1, len(S_okid), len(S_okid)), S_okid,\n",
    "         \"o\", mfc = \"None\")\n",
    "plt.setp(ax, xlabel = f\"Singular Value\", ylabel = f\"Value\",\n",
    "         xticks = np.arange(1, len(S_okid) + 1))\n",
    "\n",
    "fig.savefig(figs_dir / f\"okid_singval.pdf\",\n",
    "            bbox_inches = \"tight\")\n",
    "\n",
    "# Response plots\n",
    "ms = 0.5 # Marker size\n",
    "fig, axs = plt.subplots((r + n_era)//2, 2,\n",
    "                        sharex = \"col\",\n",
    "                        constrained_layout = True) # type:figure.Figure\n",
    "fig.suptitle(f\"OKID: State Responses\",\n",
    "             fontweight = \"bold\")\n",
    "\n",
    "for i in range(r):\n",
    "    axs[0][i].plot(t_train, U_train[i, :])\n",
    "    plt.setp(axs[0][i], ylabel = f\"$u_{i + 1}$\", xlim = [0, t_max])\n",
    "\n",
    "for i, state_ax in zip(range(n_era), axs[1:].flat):\n",
    "    state_ax.plot(t_train, X_okid_train[i, :-1])\n",
    "    plt.setp(state_ax, ylabel = f\"$x_{i + 1}$\", xlim = [0, t_max])\n",
    "    if (i == (n_era - 1)) or (i == n_era):\n",
    "        plt.setp(state_ax, xlabel = f\"Time\")\n",
    "fig.savefig(figs_dir / f\"okid_states.pdf\",\n",
    "            bbox_inches = \"tight\")\n",
    "\n",
    "# Observation plots\n",
    "fig, axs = plt.subplots(m//2, 2,\n",
    "                        sharex = \"col\",\n",
    "                        constrained_layout = True) # type:figure.Figure\n",
    "fig.suptitle(f\"OKID: Observation Responses\",\n",
    "             fontweight = \"bold\")\n",
    "\n",
    "for i, obs_ax in zip(range(m), axs.flat):\n",
    "    obs_ax.plot(t_train, Z_train[i, :])\n",
    "    obs_ax.plot(t_train, Z_okid_train[i, :],\n",
    "                \"o\", ms = ms, mfc = \"None\")\n",
    "    plt.setp(obs_ax, ylabel = f\"$z_{i + 1}$\", xlim = [0, t_max])\n",
    "    if (i == (m - 1)) or (i == m):\n",
    "        plt.setp(obs_ax, xlabel = f\"Time\")\n",
    "fig.legend(labels = [\"True\", \"OKID\"],\n",
    "           bbox_to_anchor = (1, 0.5), loc = 6)\n",
    "fig.savefig(figs_dir / f\"okid_obs.pdf\",\n",
    "            bbox_inches = \"tight\")\n",
    "\n",
    "# Observation error plots\n",
    "fig, axs = plt.subplots(m//2, 2,\n",
    "                        sharex = \"col\",\n",
    "                        constrained_layout = True) # type:figure.Figure\n",
    "fig.suptitle(f\"OKID: Error in Observation Responses\",\n",
    "             fontweight = \"bold\")\n",
    "\n",
    "for i, obs_ax in zip(range(m), axs.flat):\n",
    "    obs_ax.plot(t_train, abs(Z_okid_train[i, :] - Z_train[i, :]))\n",
    "    plt.setp(obs_ax, ylabel = f\"$z_{i + 1}$\", xlim = [0, t_max])\n",
    "    if (i == (m - 1)) or (i == m):\n",
    "        plt.setp(obs_ax, xlabel = f\"Time\")\n",
    "fig.savefig(figs_dir / f\"okid_obs_error.pdf\",\n",
    "            bbox_inches = \"tight\")"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "execution_count": 23,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "application/pdf": 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KZW5kb2JqCjI4IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggNTAgPj4Kc3RyZWFtCnicMzYxVjBQsDABEkamlgrmZgYKKYZcQD6IlcsFE8sBs0A0WGkOTEUOVwZXGgC4Yw0lCmVuZHN0cmVhbQplbmRvYmoKMjkgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAxOTAgPj4Kc3RyZWFtCnicRZBLkgMxCEP3PoWOgEH4c55OpWYxuf82Mvkt7KdCbjUwu8OwqGsEkcNw6+3IiMCjlOG/MdeXybfwzLcKczCnPqKYiHRccgIxDeRGrBAVu8uJCZoqvkC1wD501nFMCX7eWbkxR/FqEftV6XI64XoRa8jxofzqR+y7eGpypE7bix8kp8Sp/xRHqZXgPgmOdEdQVJ/685TSRLSsDZG9eLW0186OmxSVkXYmHF0Tjqit0iY+K73aX7s/AWkMRmgKZW5kc3RyZWFtCmVuZG9iagozMCAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDM0NiA+PgpzdHJlYW0KeJw1kkluRDEIRPc+BRdoyUwezvOjVhad+2/zIMoKbHBRVThvypQ0ealLxpFcU750pKqkT/npzO+Wz4jtEmoSviUsJCZnN3mGryMRU9yTGOIzOj7D9uzMYtF7xcAM16ooPeZik4rOjn69KpVteplVyMYsX/3GqSRv8ohD1i4ze44bLGEAS7Dc4MNkJ8+pYqd6Eq71smSa7o7auJ2hJm1JXonjSOC+NIG7V9tjVzvCI/PvBpQXMxS2r6SgPOA4pxxZpYk7osL5M26IYpACrWaM3qLaJjFaEW2hREgCVxFZ6p25n+7wXLxZVWEZail+QMLYjoijUtmOpq2HjsXcNtbZs2FH2WNzI6gktLGLiiYkFavK8GJpYXLZw7olo/qzvkptucKpa5KILVslWIbWt9FioUnG0muJ9acM9RVrVaszx+nMzdKBy1JbHyMBCwYmTv5/wmd8j/cv1qt+GgplbmRzdHJlYW0KZW5kb2JqCjMxIDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMTggPj4Kc3RyZWFtCnicMzaxUDCAwxRDrjQAHhkDVQplbmRzdHJlYW0KZW5kb2JqCjMyIDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMjA0ID4+CnN0cmVhbQp4nE1RQW4EIQy78wp/YCUSAiHv2WrVQ/v/a21mRurJJibGCWmOjtx42cDyjRmJL2usOCu/Iir9NJ/xj0X5w5bD50D4PDh2x7sdNu5Kv9DLbsXpo143KQtW6ygblgtOR5Pr4pm3qOSEBSs7YENO7PGkMnqSGYZ3mG2+uQ5SST8surHHmU+uyhZ0sk1FSehyMOUmds34rOJinSjtwSwRtSZGFZxDrkLp2VF4TSiXVupMIeQM/VqyMlzpQ6NVYLs+wNh4b/3dvtvnD3mOTJ4KZW5kc3RyZWFtCmVuZG9iagozMyAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDc0ID4+CnN0cmVhbQp4nDWMuw0AIQxDe0+REfIhQeyDTlfk9m8vIGjsZ0t2uBKTeElYJ2+dpqDyog8yeFPCNEhiFLXQ091FdbpuEmq8/RwkXjw/p7ITFgplbmRzdHJlYW0KZW5kb2JqCjE2IDAgb2JqCjw8IC9CYXNlRm9udCAvRGVqYVZ1U2Fucy1Cb2xkIC9DaGFyUHJvY3MgMTcgMCBSCi9FbmNvZGluZyA8PAovRGlmZmVyZW5jZXMgWyAzMiAvc3BhY2UgNTggL2NvbG9uIDY4IC9EIC9FIDczIC9JIDc1IC9LIDc5IC9PIDk3IC9hIDEwMSAvZSAxMDMgL2cgMTA1Ci9pIDEwOCAvbCAxMTAgL24gMTE1IC9zIDExNyAvdSAvdiBdCi9UeXBlIC9FbmNvZGluZyA+PgovRmlyc3RDaGFyIDAgL0ZvbnRCQm94IFsgLTEwNzAgLTQxNiAxOTc2IDExNzUgXSAvRm9udERlc2NyaXB0b3IgMTUgMCBSCi9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdIC9MYXN0Q2hhciAyNTUgL05hbWUgL0RlamFWdVNhbnMtQm9sZAovU3VidHlwZSAvVHlwZTMgL1R5cGUgL0ZvbnQgL1dpZHRocyAxNCAwIFIgPj4KZW5kb2JqCjE1IDAgb2JqCjw8IC9Bc2NlbnQgOTI5IC9DYXBIZWlnaHQgMCAvRGVzY2VudCAtMjM2IC9GbGFncyAzMgovRm9udEJCb3ggWyAtMTA3MCAtNDE2IDE5NzYgMTE3NSBdIC9Gb250TmFtZSAvRGVqYVZ1U2Fucy1Cb2xkCi9JdGFsaWNBbmdsZSAwIC9NYXhXaWR0aCAxNDQwIC9TdGVtViAwIC9UeXBlIC9Gb250RGVzY3JpcHRvciAvWEhlaWdodCAwID4+CmVuZG9iagoxNCAwIG9iagpbIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwCjYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgMzQ4IDQ1NiA1MjEgODM4IDY5NgoxMDAyIDg3MiAzMDYgNDU3IDQ1NyA1MjMgODM4IDM4MCA0MTUgMzgwIDM2NSA2OTYgNjk2IDY5NiA2OTYgNjk2IDY5NiA2OTYKNjk2IDY5NiA2OTYgNDAwIDQwMCA4MzggODM4IDgzOCA1ODAgMTAwMCA3NzQgNzYyIDczNCA4MzAgNjgzIDY4MyA4MjEgODM3CjM3MiAzNzIgNzc1IDYzNyA5OTUgODM3IDg1MCA3MzMgODUwIDc3MCA3MjAgNjgyIDgxMiA3NzQgMTEwMyA3NzEgNzI0IDcyNQo0NTcgMzY1IDQ1NyA4MzggNTAwIDUwMCA2NzUgNzE2IDU5MyA3MTYgNjc4IDQzNSA3MTYgNzEyIDM0MyAzNDMgNjY1IDM0MwoxMDQyIDcxMiA2ODcgNzE2IDcxNiA0OTMgNTk1IDQ3OCA3MTIgNjUyIDkyNCA2NDUgNjUyIDU4MiA3MTIgMzY1IDcxMiA4MzgKNjAwIDY5NiA2MDAgMzgwIDQzNSA2NTcgMTAwMCA1MDAgNTAwIDUwMCAxNDQwIDcyMCA0MTIgMTE2NyA2MDAgNzI1IDYwMCA2MDAKMzgwIDM4MCA2NTcgNjU3IDYzOSA1MDAgMTAwMCA1MDAgMTAwMCA1OTUgNDEyIDEwOTQgNjAwIDU4MiA3MjQgMzQ4IDQ1NiA2OTYKNjk2IDYzNiA2OTYgMzY1IDUwMCA1MDAgMTAwMCA1NjQgNjQ2IDgzOCA0MTUgMTAwMCA1MDAgNTAwIDgzOCA0MzggNDM4IDUwMAo3MzYgNjM2IDM4MCA1MDAgNDM4IDU2NCA2NDYgMTAzNSAxMDM1IDEwMzUgNTgwIDc3NCA3NzQgNzc0IDc3NCA3NzQgNzc0IDEwODUKNzM0IDY4MyA2ODMgNjgzIDY4MyAzNzIgMzcyIDM3MiAzNzIgODM4IDgzNyA4NTAgODUwIDg1MCA4NTAgODUwIDgzOCA4NTAgODEyCjgxMiA4MTIgODEyIDcyNCA3MzggNzE5IDY3NSA2NzUgNjc1IDY3NSA2NzUgNjc1IDEwNDggNTkzIDY3OCA2NzggNjc4IDY3OAozNDMgMzQzIDM0MyAzNDMgNjg3IDcxMiA2ODcgNjg3IDY4NyA2ODcgNjg3IDgzOCA2ODcgNzEyIDcxMiA3MTIgNzEyIDY1MiA3MTYKNjUyIF0KZW5kb2JqCjE3IDAgb2JqCjw8IC9EIDE4IDAgUiAvRSAxOSAwIFIgL0kgMjAgMCBSIC9LIDIxIDAgUiAvTyAyMiAwIFIgL2EgMjMgMCBSCi9jb2xvbiAyNCAwIFIgL2UgMjUgMCBSIC9nIDI2IDAgUiAvaSAyNyAwIFIgL2wgMjggMCBSIC9uIDI5IDAgUiAvcyAzMCAwIFIKL3NwYWNlIDMxIDAgUiAvdSAzMiAwIFIgL3YgMzMgMCBSID4+CmVuZG9iagozOCAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDI0OSA+PgpzdHJlYW0KeJxNUUmKAzAMu+cV+kAhXpO8p0OZQ+f/18oOhTkECa+Sk5aYWAsPMYQfLD34kSFzN/0bfqLZu1l6ksnZ/5jnIlNR+FKoLmJCXYgbz6ER8D2haxJZsb3xOSyjmXO+Bx+FuAQzoQFjfUkyuajmlSETTgx1HA5apMK4a2LD4lrRPI3cbvtGZmUmhA2PZELcGICIIOsCshgslDY2EzJZzgPtDckNWmDXqRtRi4IrlNYJdKJWxKrM4LPm1nY3Qy3y4Kh98fpoVpdghdFL9Vh4X4U+mKmZdu6SQnrhTTsizB4KpDI7LSu1e8TqboH6P8tS8P3J9/gdrw/N/FycCmVuZHN0cmVhbQplbmRvYmoKMzkgMCBvYmoKPDwgL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCA5NCA+PgpzdHJlYW0KeJxFjcERwCAIBP9UQQkKCtpPJpOH9v+NEDJ8YOcO7oQFC7Z5Rh8FlSZeFVgHSmPcUI9AveFyLcncBQ9wJ3/a0FScltN3aZFJVSncpBJ5/w5nJpCoedFjnfcLY/sjPAplbmRzdHJlYW0KZW5kb2JqCjQwIDAgb2JqCjw8IC9CQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDM5Ci9TdWJ0eXBlIC9Gb3JtIC9UeXBlIC9YT2JqZWN0ID4+CnN0cmVhbQp4nOMyNDBTMDY1VcjlMjc2ArNywCwjcyMgCySLYEFkM7jSABXzCnwKZW5kc3RyZWFtCmVuZG9iago0MSAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDgzID4+CnN0cmVhbQp4nEWMuw3AMAhEe6ZgBH4m9j5RlMLevw0QJW64J909XB0JmSluM8NDBp4MLIZdcYH0ljALXEdQjp3so2HVvuoEjfWmUvPvD5Se7KzihusBAkIaZgplbmRzdHJlYW0KZW5kb2JqCjQyIDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggNzAgPj4Kc3RyZWFtCnicMzM2UzBQsDACEqamhgrmRpYKKYZcQD6IlcsFE8sBs8wszIEsIwuQlhwuQwtjMG1ibKRgZmIGZFkgMSC6MrjSAJiaEwMKZW5kc3RyZWFtCmVuZG9iago0MyAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDMyMCA+PgpzdHJlYW0KeJw1UktuBTEI288puECl8E/O86qqi777b2sTvRVMMGDjKS9Z0ku+1CXbpcPkWx/3JbFC3o/tmsxSxfcWsxTPLa9HzxG3LQoEURM9WJkvFSLUz/ToOqhwSp+BVwi3FBu8g0kAg2r4Bx6lMyBQ50DGu2IyUgOCJNhzaXEIiXImiX+kvJ7fJ62kofQ9WZnL35NLpdAdTU7oAcXKxUmgXUn5oJmYSkSSl+t9sUL0hsCSPD5HMcmA7DaJbaIFJucepSXMxBQ6sMcCvGaa1VXoYMIehymMVwuzqB5s8lsTlaQdreMZ2TDeyzBTYqHhsAXU5mJlgu7l4zWvwojtUZNdw3Duls13CNFo/hsWyuBjFZKAR6exEg1pOMCIwJ5eOMVe8xM5DsCIY52aLAxjaCaneo6JwNCes6VhxsceWvXzD1TpfIcKZW5kc3RyZWFtCmVuZG9iago0NCAwIG9iago8PCAvRmlsdGVyIC9GbGF0ZURlY29kZSAvTGVuZ3RoIDM0MCA+PgpzdHJlYW0KeJw1UjluBDEM6/0KfSCAbtvv2SBIkfy/DanZFANxdFKUO1pUdsuHhVS17HT5tJXaEjfkd2WFxAnJqxLtUoZIqLxWIdXvmTKvtzVnBMhSpcLkpORxyYI/w6WnC8f5trGv5cgdjx5YFSOhRMAyxcToGpbO7rBmW36WacCPeIScK9Ytx1gFUhvdOO2K96F5LbIGiL2ZlooKHVaJFn5B8aBHjX32GFRYINHtHElwjIlQkYB2gdpIDDl7LHZRH/QzKDET6NobRdxBgSWSmDnFunT03/jQsaD+2Iw3vzoq6VtaWWPSPhvtlMYsMul6WPR089bHgws076L859UMEjRljZLGB63aOYaimVFWeLdDkw3NMcch8w6ewxkJSvo8FL+PJRMdlMjfDg2hf18eo4ycNt4C5qI/bRUHDuKzw165gRVKF2uS9wGpTOiB6f+v8bW+19cfHe2AxgplbmRzdHJlYW0KZW5kb2JqCjQ1IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMjUxID4+CnN0cmVhbQp4nC1RSXIDQQi7zyv0hGan32OXK4fk/9cIygcGDYtAdFrioIyfICxXvOWRq2jD3zMxgt8Fh34r121Y5EBUIEljUDWhdvF69B7YcZgJzJPWsAxmrA/8jCnc6MXhMRlnt9dl1BDsXa89mUHJrFzEJRMXTNVhI2cOP5kyLrRzPTcg50ZYl2GQblYaMxKONIVIIYWqm6TOBEESjK5GjTZyFPulL490hlWNqDHscy1tX89NOGvQ7Fis8uSUHl1xLicXL6wc9PU2AxdRaazyQEjA/W4P9XOyk994S+fOFtPje83J8sJUYMWb125ANtXi37yI4/uMr+fn+fwDX2BbiAplbmRzdHJlYW0KZW5kb2JqCjQ2IDAgb2JqCjw8IC9GaWx0ZXIgL0ZsYXRlRGVjb2RlIC9MZW5ndGggMjE1ID4+CnN0cmVhbQp4nDVROQ4DIQzs9xX+QCSML3hPoijN/r/NjNFWHsFchrSUIZnyUpOoIeVTPnqZLpy63NfMajTnlrQtc4C4trwvrZLAiWaIg8FpmLgBmjwBQ9fRqFFDFx7Q1KVTKLDcBD6Kt24P3WO1gZe2IeeJIGIoGSxBzalFExZtzyekNb9eixvel+3dyFOlxpYYgQYBVjgc1+jX8JU9TybRdBUy1Ks1yxgJE0UiPPmOptUT61o00jIS1MYRrGoDvDv9ME4AABNxywJkn0qUs+TEb7H0swZX+v4Bn0dUlgplbmRzdHJlYW0KZW5kb2JqCjM2IDAgb2JqCjw8IC9CYXNlRm9udCAvRGVqYVZ1U2FucyAvQ2hhclByb2NzIDM3IDAgUgovRW5jb2RpbmcgPDwgL0RpZmZlcmVuY2VzIFsgNDggL3plcm8gL29uZSAvdHdvIC90aHJlZSAvZm91ciAvZml2ZSAvc2l4IC9zZXZlbiBdCi9UeXBlIC9FbmNvZGluZyA+PgovRmlyc3RDaGFyIDAgL0ZvbnRCQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvRm9udERlc2NyaXB0b3IgMzUgMCBSCi9Gb250TWF0cml4IFsgMC4wMDEgMCAwIDAuMDAxIDAgMCBdIC9MYXN0Q2hhciAyNTUgL05hbWUgL0RlamFWdVNhbnMKL1N1YnR5cGUgL1R5cGUzIC9UeXBlIC9Gb250IC9XaWR0aHMgMzQgMCBSID4+CmVuZG9iagozNSAwIG9iago8PCAvQXNjZW50IDkyOSAvQ2FwSGVpZ2h0IDAgL0Rlc2NlbnQgLTIzNiAvRmxhZ3MgMzIKL0ZvbnRCQm94IFsgLTEwMjEgLTQ2MyAxNzk0IDEyMzMgXSAvRm9udE5hbWUgL0RlamFWdVNhbnMgL0l0YWxpY0FuZ2xlIDAKL01heFdpZHRoIDEzNDIgL1N0ZW1WIDAgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9YSGVpZ2h0IDAgPj4KZW5kb2JqCjM0IDAgb2JqClsgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAKNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCA2MDAgNjAwIDYwMCAzMTggNDAxIDQ2MCA4MzggNjM2Cjk1MCA3ODAgMjc1IDM5MCAzOTAgNTAwIDgzOCAzMTggMzYxIDMxOCAzMzcgNjM2IDYzNiA2MzYgNjM2IDYzNiA2MzYgNjM2IDYzNgo2MzYgNjM2IDMzNyAzMzcgODM4IDgzOCA4MzggNTMxIDEwMDAgNjg0IDY4NiA2OTggNzcwIDYzMiA1NzUgNzc1IDc1MiAyOTUKMjk1IDY1NiA1NTcgODYzIDc0OCA3ODcgNjAzIDc4NyA2OTUgNjM1IDYxMSA3MzIgNjg0IDk4OSA2ODUgNjExIDY4NSAzOTAgMzM3CjM5MCA4MzggNTAwIDUwMCA2MTMgNjM1IDU1MCA2MzUgNjE1IDM1MiA2MzUgNjM0IDI3OCAyNzggNTc5IDI3OCA5NzQgNjM0IDYxMgo2MzUgNjM1IDQxMSA1MjEgMzkyIDYzNCA1OTIgODE4IDU5MiA1OTIgNTI1IDYzNiAzMzcgNjM2IDgzOCA2MDAgNjM2IDYwMCAzMTgKMzUyIDUxOCAxMDAwIDUwMCA1MDAgNTAwIDEzNDIgNjM1IDQwMCAxMDcwIDYwMCA2ODUgNjAwIDYwMCAzMTggMzE4IDUxOCA1MTgKNTkwIDUwMCAxMDAwIDUwMCAxMDAwIDUyMSA0MDAgMTAyMyA2MDAgNTI1IDYxMSAzMTggNDAxIDYzNiA2MzYgNjM2IDYzNiAzMzcKNTAwIDUwMCAxMDAwIDQ3MSA2MTIgODM4IDM2MSAxMDAwIDUwMCA1MDAgODM4IDQwMSA0MDEgNTAwIDYzNiA2MzYgMzE4IDUwMAo0MDEgNDcxIDYxMiA5NjkgOTY5IDk2OSA1MzEgNjg0IDY4NCA2ODQgNjg0IDY4NCA2ODQgOTc0IDY5OCA2MzIgNjMyIDYzMiA2MzIKMjk1IDI5NSAyOTUgMjk1IDc3NSA3NDggNzg3IDc4NyA3ODcgNzg3IDc4NyA4MzggNzg3IDczMiA3MzIgNzMyIDczMiA2MTEgNjA1CjYzMCA2MTMgNjEzIDYxMyA2MTMgNjEzIDYxMyA5ODIgNTUwIDYxNSA2MTUgNjE1IDYxNSAyNzggMjc4IDI3OCAyNzggNjEyIDYzNAo2MTIgNjEyIDYxMiA2MTIgNjEyIDgzOCA2MTIgNjM0IDYzNCA2MzQgNjM0IDU5MiA2MzUgNTkyIF0KZW5kb2JqCjM3IDAgb2JqCjw8IC9maXZlIDM4IDAgUiAvZm91ciAzOSAwIFIgL29uZSA0MSAwIFIgL3NldmVuIDQyIDAgUiAvc2l4IDQzIDAgUgovdGhyZWUgNDQgMCBSIC90d28gNDUgMCBSIC96ZXJvIDQ2IDAgUiA+PgplbmRvYmoKMyAwIG9iago8PCAvRjEgMzYgMCBSIC9GMiAxNiAwIFIgPj4KZW5kb2JqCjQgMCBvYmoKPDwgL0ExIDw8IC9DQSAwIC9UeXBlIC9FeHRHU3RhdGUgL2NhIDEgPj4KL0EyIDw8IC9DQSAxIC9UeXBlIC9FeHRHU3RhdGUgL2NhIDEgPj4KL0EzIDw8IC9DQSAxIC9UeXBlIC9FeHRHU3RhdGUgL2NhIDAgPj4gPj4KZW5kb2JqCjUgMCBvYmoKPDwgPj4KZW5kb2JqCjYgMCBvYmoKPDwgPj4KZW5kb2JqCjcgMCBvYmoKPDwgL0YxLURlamFWdVNhbnMtbWludXMgNDAgMCBSIC9NMCAxMyAwIFIgPj4KZW5kb2JqCjEzIDAgb2JqCjw8IC9CQm94IFsgLTggLTggOCA4IF0gL0ZpbHRlciAvRmxhdGVEZWNvZGUgL0xlbmd0aCAzNiAvU3VidHlwZSAvRm9ybQovVHlwZSAvWE9iamVjdCA+PgpzdHJlYW0KeJwzUMjiMlDw4tI1VgCiXC4wlQOkQKQuhMrg4grmAgCcZgdnCmVuZHN0cmVhbQplbmRvYmoKMiAwIG9iago8PCAvQ291bnQgMSAvS2lkcyBbIDExIDAgUiBdIC9UeXBlIC9QYWdlcyA+PgplbmRvYmoKNDcgMCBvYmoKPDwgL0NyZWF0aW9uRGF0ZSAoRDoyMDIxMDQyNjIzMjkzNC0wNCcwMCcpCi9DcmVhdG9yIChNYXRwbG90bGliIHYzLjQuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1Y2VyIChNYXRwbG90bGliIHBkZiBiYWNrZW5kIHYzLjQuMSkgPj4KZW5kb2JqCnhyZWYKMCA0OAowMDAwMDAwMDAwIDY1NTM1IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAxMTQ3NSAwMDAwMCBuIAowMDAwMDExMDM0IDAwMDAwIG4gCjAwMDAwMTEwNzcgMDAwMDAgbiAKMDAwMDAxMTIxNSAwMDAwMCBuIAowMDAwMDExMjM2IDAwMDAwIG4gCjAwMDAwMTEyNTcgMDAwMDAgbiAKMDAwMDAwMDA2NSAwMDAwMCBuIAowMDAwMDAwNDAwIDAwMDAwIG4gCjAwMDAwMDEzMTMgMDAwMDAgbiAKMDAwMDAwMDIwOCAwMDAwMCBuIAowMDAwMDAxMjkzIDAwMDAwIG4gCjAwMDAwMTEzMTcgMDAwMDAgbiAKMDAwMDAwNTY4NyAwMDAwMCBuIAowMDAwMDA1NDgyIDAwMDAwIG4gCjAwMDAwMDUwNzQgMDAwMDAgbiAKMDAwMDAwNjc0OCAwMDAwMCBuIAowMDAwMDAxMzMzIDAwMDAwIG4gCjAwMDAwMDE2MTkgMDAwMDAgbiAKMDAwMDAwMTc3NCAwMDAwMCBuIAowMDAwMDAxODk2IDAwMDAwIG4gCjAwMDAwMDIwNTIgMDAwMDAgbiAKMDAwMDAwMjMzOSAwMDAwMCBuIAowMDAwMDAyNzI4IDAwMDAwIG4gCjAwMDAwMDI4NzEgMDAwMDAgbiAKMDAwMDAwMzE5NSAwMDAwMCBuIAowMDAwMDAzNjExIDAwMDAwIG4gCjAwMDAwMDM3NTcgMDAwMDAgbiAKMDAwMDAwMzg3OSAwMDAwMCBuIAowMDAwMDA0MTQyIDAwMDAwIG4gCjAwMDAwMDQ1NjEgMDAwMDAgbiAKMDAwMDAwNDY1MSAwMDAwMCBuIAowMDAwMDA0OTI4IDAwMDAwIG4gCjAwMDAwMDk4NTYgMDAwMDAgbiAKMDAwMDAwOTY1NiAwMDAwMCBuIAowMDAwMDA5MzEzIDAwMDAwIG4gCjAwMDAwMTA5MDkgMDAwMDAgbiAKMDAwMDAwNjkzOCAwMDAwMCBuIAowMDAwMDA3MjYwIDAwMDAwIG4gCjAwMDAwMDc0MjYgMDAwMDAgbiAKMDAwMDAwNzU5OCAwMDAwMCBuIAowMDAwMDA3NzUzIDAwMDAwIG4gCjAwMDAwMDc4OTUgMDAwMDAgbiAKMDAwMDAwODI4OCAwMDAwMCBuIAowMDAwMDA4NzAxIDAwMDAwIG4gCjAwMDAwMDkwMjUgMDAwMDAgbiAKMDAwMDAxMTUzNSAwMDAwMCBuIAp0cmFpbGVyCjw8IC9JbmZvIDQ3IDAgUiAvUm9vdCAxIDAgUiAvU2l6ZSA0OCA+PgpzdGFydHhyZWYKMTE2OTIKJSVFT0YK\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "application/pdf": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 8 Axes>",
      "application/pdf": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 6 Axes>",
      "application/pdf": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 6 Axes>",
      "application/pdf": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ]
  }
 ],
 "metadata": {
  "authors": [
   {
    "name": "Ani Perumalla"
   }
  ],
  "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": "3.8.5-final"
  },
  "title": "AERSP597 Midterm"
 },
 "nbformat": 4,
 "nbformat_minor": 1
}