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Feb 23rd, 2015
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  1. xxx =
  2. Discrete-time ARX model: A(z)y(t) = B(z)u(t) + e(t)
  3.  
  4. A(z) = 1 - 0.9969 z^-1 + 0.0004209 z^-2 - 0.0004499 z^-3
  5. + 0.0004406 z^-4 - 0.000391 z^-5 + 0.003345 z^-6
  6.  
  7. B1(z) = 0.2755 - 0.2705 z^-1
  8.  
  9.  
  10. B2(z) = -0.002473 + 0.006083 z^-1 - 0.003466 z^-2 + 0.008522 z^-3
  11. - 0.00849 z^-4
  12.  
  13. Sample time: 10 seconds
  14.  
  15. Parameterization:
  16. Polynomial orders: na=6 nb=[2 5] nk=[0 0]
  17. Number of free coefficients: 13
  18. Use "polydata", "getpvec", "getcov" for parameters and their uncertainties.
  19.  
  20. Status:
  21. Estimated using ARX on time domain data "zexperimental".
  22. Fit to estimation data: [93.07 90.45 90.08 92.48 90.81 92.37 93.81 92.12 93.55 89.73 94.43 90.76 93.33 92.47 92.5 94 90.2 94.91 93.39 88.97 91.86 91.78 92.67 94.93 96.22 90.95 91.71 93.09 96.33 92.37 93.8 89.54 92.47 90.98 94.97 92.43 89.76 92.44 96.73 94.36 94.54 92.24 89.18 90.94 88.69 90.18 89.61 94.51 89.07 92.64 91.86 88.77 92.77 94.05 90.47 91.45 90.16 90.83 91.11 88.97 90.87 92.04 95.41 90.5 94.24 93.21 91.28 90.62 90.02 90.4 89.76 96.22 93.49 93.63 91.5 89.54 91.12 93.71 89.5 91.95 93.49 88.89 90.07 95.1 92.01 94.43 95.5 95.39 92.95 90.27 91.81 90.52 92.35 91.88 94.97 90.2 92.65 93.56 94.85 93.42 92.79 92.31 95.38 89.7 91.09 89.57 91.79 90.35 88.92 92.81 92.36 88.48 93.48 89.45 92.07 89.19 89.24 89.4 90.63 96.3 93.9 93.89 89.98 92.48 91.54 90.5 88.96 91.93 88.09 91.64 93.54 92.19 90.97 92.18 93.25 90.77 92.83 90.35 92.62 92.76 93.21 92.59 90.09 90.1 93.94 92.82 93.72 90.18 95.66 90.46 92.55 94.34 90.08 91.75 92.62 92.95 95.17 93.07 89.96 89.33 94.61 89.29 94.6 89.11 89.04 93.14 93.19 90.09 91.67 89.37 93.47 92.24 93.47 94.76 88.61 89.89 93.04 95.24 92.83 89.1 92.11 89.12 88.69 91.79 90.8 94.47 93.31 90.07 90.34 90.34 91.02 92.96 93.75 90.32 96.73 91.99 93.31 91.83 95.72 89.96 92.33 89.74 91.98 90.13 89.12 90.35 91.34 88.88 97.14 94.46 95.62 92.43 94.05 92.44 91.45 91.93 93.03 91.49 92.98 88.8 94.12 89.89 91.71 92.81 92.07 92.18 92.81 91.46 93.29 89.95 91.56 90.5 91.8 93.74 93.06 89.61 90.65 89.18 93.51 95.41 92.92 89.39 96.12 93.22 89 80.32 79.59 82.51 56.76 79 88.71 69.35 86.02 65.97 69.35 77.04 88.96 85.28 74.44 80.55 71.59 77.48 82.43 59.37 84.79 74.47 84.87 75.64 46.5 68.28 84.35 80.68 87.56 67.56 45.04 69.44 41.06 82.77 75.36 76.63 77.21 82.96 63.28 80.79 53.19 69.81 84.82 79.98 81.06 79.66 83.61 73.91 44.11 90.95 81.31 85 90.24 82.98 -147.1 88.65 65.47 -223.3 84.1 75.93 86.12 69.07 82.14 82.58 -117 80.91 84.84 87.03 77.5 85.64 86.97 69.3 86.98 86.89 79.66 84.35 66.3 78.6 65.68 -192.9 84.39 83.87 78.32 78.16 82.56 81.61 26.66 74.52 84.49 52.54 88.56 79.94 54.97 77.99 65.14 82.61 29.77 72.57 80.06 88.85 70.99 83.74 84.93 75.2 69.22 57.58 81.39 69.02 77.86 80.84 60.49 84.31 81.81 59.92 79.57 50.89 62.87 89.64 79.72 10.47 84.73 76.68 -169 67.79 72.59 81.23 81.81 77.41 -76.95 -16.51 73.26 76.14 -186.2 40.6 88.33 87.97 52.91 76.12 73.07 83.56 47.75 85.3 80.89 42.15 27.54 84.18 58.87 83.04 76.75 77.54 81.42 72.42 81.29 40.45 82.01 81.86 -63.42 40.34 84.68 84.67 -161.9 74.67 23.24 82.2 69.03 73.06 83.59 71.24 81.78 84.52 74.64 74.58 77.25 62.81 87.89 68.91 85.7 68.73 -1.485 87.01 87.84 70.74 59.58 77.5 60.29 82.43 87.03 82.07 -134.3 -99.84 56 -223.4 46.2 80.77 46.37 82.56 68.66 72.82 54.23 73.32 88.51 86.88 81.15 83.73 75.49 85.7 84.31 62.49 83.37 74.5 35.17 82.88 79.32 84.97 83.47 68.82 78.44 74.1 83.07 87.19 73.75 66.54 74.57 86.5 85.51 82.08 62.02 72.36 47.13 81.52 48.11 75.72 78.11 72.14 74.54 83.86 57.24 87.08 84.95 -217.1 79.13 60.9 -13.53 76.5 84.05 80.55]% (stability focus)
  23. FPE: 0.0001746, MSE: [6.273e-05 0.0001016 0.0005083 0.0003222 0.0006021 6.461e-05 8.009e-06 0.0002707 0.0001617 0.0005141 2.425e-05 0.0004191 6.891e-05 0.0001262 7.607e-05 0.0001507 0.0005686 1.057e-05 0.0002472 0.0008753 0.0001833 0.0001112 0.0001015 1.761e-05 1.276e-05 0.0003426 0.0002244 2.824e-05 2.163e-05 4.117e-05 1.974e-05 0.0007147 6.912e-05 0.0001204 5.941e-05 0.0001965 0.0006315 4.393e-05 1.418e-05 9.842e-05 9.131e-05 7.979e-05 0.0006158 0.0007549 0.0007817 0.0004124 9.178e-05 3.043e-05 0.0003434 0.0001903 0.0001116 0.0003094 0.0002537 5.948e-05 0.00023 0.0001142 0.000778 0.0002268 0.0004829 0.0009082 6.718e-05 0.0001491 4.03e-05 0.0001587 4.339e-05 0.0001856 4.026e-05 0.0002918 0.0005438 0.0002114 0.0008458 8.303e-06 0.0002081 0.0001959 0.0002688 0.0007448 6.477e-05 0.0001161 0.0004246 7.608e-05 0.0002186 0.0003923 0.0005602 1.931e-05 0.0001249 0.0001163 1.862e-05 2.333e-05 5.794e-05 0.001103 0.0003127 0.0007217 0.0002049 7.52e-05 1.77e-05 0.0002288 0.0002889 7.98e-05 4.537e-05 8.633e-05 0.0002625 0.000236 1.585e-05 0.001084 0.0001973 9.24e-05 5.589e-05 0.0004129 0.0004363 0.0001119 8.989e-05 0.0008393 9.047e-05 0.0007505 5.13e-05 0.001014 0.001023 0.0001489 0.0001565 2.795e-05 0.0001774 8.46e-05 0.0002747 0.0002747 0.0002414 0.0001643 0.000683 5.75e-05 0.001146 0.0001416 8.569e-05 0.0005229 0.0003418 0.0001516 0.0002385 7.249e-05 0.000219 0.0004607 3.334e-05 0.0001379 0.0001385 0.0002331 0.000544 0.0003408 4.925e-05 0.0002668 0.0001234 0.0003521 3.923e-05 0.0008069 0.0002106 2.689e-05 0.0004312 9.473e-05 0.0001355 0.0003356 1.648e-05 7.482e-05 0.0004861 0.0009359 0.0001008 0.0002176 1.339e-05 0.0008102 0.0009201 0.0002178 5.051e-05 0.0001474 4.84e-05 0.0006278 0.000205 0.0001144 2.953e-05 0.000101 0.0001728 0.0002192 0.0001388 6.945e-05 9.014e-05 0.000584 7.509e-05 0.0007154 0.000683 0.0002455 0.0002258 2.584e-05 0.0002146 0.0003822 0.0004107 0.0006669 0.0001963 5.57e-05 6.594e-05 8.879e-05 9.104e-06 0.0002232 0.0001786 0.0002252 3.704e-05 0.0003555 0.0003483 0.0009576 0.000255 0.0007245 0.0005202 0.0002872 8.557e-05 0.0001741 4.265e-06 0.0001047 2.722e-05 5.541e-05 3.593e-05 3.533e-05 0.0004248 0.0002157 0.0001004 0.0002888 0.0001813 0.000768 6.819e-05 0.0006113 0.000232 0.0001907 0.0002266 0.00015 0.0001189 0.0001171 0.0002408 0.0009834 0.0002095 0.000312 0.000293 2.875e-05 0.000251 0.000512 0.0007672 0.0007748 2.181e-05 5.66e-06 0.0001592 0.0003461 2.59e-05 6.419e-05 0.0002183 0.0001268 0.0001293 7.184e-05 7.37e-05 9.463e-05 1.189e-05 0.0002026 2.515e-05 0.0001263 0.000119 2.92e-05 4.83e-05 2.581e-05 0.0001685 0.0001047 0.0001054 0.0001177 7.053e-05 5.703e-05 2.563e-05 4.091e-05 9.949e-06 2.947e-05 0.0002034 0.0001609 4.351e-05 6.913e-05 2.859e-05 0.0001823 6.652e-05 0.0001915 0.000199 3.912e-05 5.466e-05 6.715e-05 4.474e-05 0.0001142 0.0002099 0.0001064 0.0001135 8.189e-05 8.705e-05 3.19e-05 5.018e-05 6.2e-05 2.382e-05 0.0001094 0.00024 8.532e-06 4.797e-05 3.165e-05 2.996e-05 6.876e-05 6.917e-05 1.944e-05 0.0001384 0.0003259 5.775e-05 0.0001625 4.15e-05 0.0001325 6.086e-05 5.009e-05 0.0001609 5.055e-05 8.471e-05 2.375e-05 0.0001441 2.853e-05 2.29e-05 0.000145 3.326e-05 8.09e-05 4.266e-05 2.093e-05 0.000231 0.0001149 0.0001036 0.0002502 2.98e-05 2.494e-05 9.193e-05 0.0001214 2.826e-05 0.0001056 0.0002164 8.678e-05 3.717e-05 2.116e-05 3.139e-05 9.13e-05 0.0002294 4.877e-05 4.006e-05 2.138e-05 0.0001278 0.0001427 4.505e-05 5.369e-05 0.0001459 4.295e-05 3.194e-05 3.826e-05 0.0001196 0.0001433 2.568e-05 4.837e-05 6.236e-05 5.734e-05 0.0001211 7.52e-05 4.947e-05 6.63e-05 9.021e-05 0.0001604 0.0001197 2.999e-05 4.53e-05 0.0001839 2.907e-05 9.954e-05 0.0003189 8.756e-05 0.0001067 0.0001001 2.884e-05 9.721e-05 5.842e-05 4.65e-05 6.353e-05 8.165e-05 8.712e-05 0.0001962 6.592e-05 4.037e-05 0.0001371 0.0001339 0.0001312 4.731e-05 2.804e-05 3.302e-05 9.884e-05 0.000222 9.697e-05 8.412e-05 0.0001126 0.0001219 0.0001534 0.0001261 1.275e-05 9.562e-05 8.371e-05 0.0001164 2.323e-05 0.0001042 4.402e-05 7.367e-05 2.428e-05 2.656e-05 8.067e-05 2.471e-05 0.0001189 5.591e-05 1.455e-05 0.0001005 2.653e-05 5.049e-05 3.193e-05 1.351e-05 9.368e-05 0.0001098 0.0001255 0.0001039 3.54e-05 0.0002005 4.323e-05 6.178e-05 0.0001839 2.035e-05 3.57e-05 2.374e-05 0.0001898 2.875e-05 5.422e-05 6.351e-05 2.146e-05 7.704e-05 0.0001463 0.0001008 6.562e-05 0.0001841 4.541e-05 7.615e-05 3.878e-05 5.243e-05 7.528e-05 6.283e-05 7.942e-05 5.682e-05 4.217e-05 2.413e-05 6.302e-05 3.078e-05 1.473e-05 3.441e-05 7.698e-05 4.871e-05 5.332e-05 9.045e-05 0.000214 4.342e-05 0.0001211 4.089e-05 9.518e-05 0.0001339 0.0001003 7.793e-05 3.891e-05 2.176e-05 0.0001362 0.0001691 0.0001019 4.626e-05 1.414e-05 7.364e-05 3.483e-05 0.0001577 0.0001926 0.000123 0.000124 0.0001629 8.122e-05 3.007e-05 0.0001177 6.684e-05 3.8e-05 3.809e-05 3.366e-05 0.0001253 5.31e-05 8.14e-05 2.73e-05 5.236e-05 2.4e-05 6.275e-05]
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