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Feb 23rd, 2019
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  1. A =
  2.  
  3. 0.64376 0.58414
  4. -0.58414 0.41451
  5.  
  6. B =
  7.  
  8. -1.43086
  9. -0.86908
  10.  
  11. C =
  12.  
  13. -1.43086 0.86908
  14.  
  15. D = 0
  16. delay = 0
  17. sampleTime = 0.49749
  18.  
  19. function [PHI] = PHImatrix(C, A, Np)
  20.  
  21. PHI = [];
  22. for i = 1:(Np)
  23. PHI = [PHI; C*A^i];
  24. endfor
  25.  
  26. endfunction
  27.  
  28. function [GAMMA] = GAMMAmatrix(C, A, B, Np, Nc)
  29. PHI = [];
  30. GAMMA = [];
  31.  
  32. for j = 1:Nc
  33. for i = (1-j):(Np-j)
  34.  
  35. if i < 0
  36. PHI = [PHI; 0*C*A^i*B];
  37. else
  38. PHI = [PHI; C*A^i*B];
  39. endif
  40.  
  41. endfor
  42.  
  43. % Add to PHI
  44. GAMMA = [GAMMA PHI];
  45. % Clear F
  46. PHI = [];
  47. endfor
  48.  
  49. endfunction
  50.  
  51. PHI =
  52.  
  53. -1.4288e+00 -4.7558e-01
  54. -6.4199e-01 -1.0317e+00
  55. 1.8939e-01 -8.0267e-01
  56. 5.9079e-01 -2.2208e-01
  57. 5.1005e-01 2.5305e-01
  58. 1.8053e-01 4.0283e-01
  59. -1.1909e-01 2.7243e-01
  60. -2.3580e-01 4.3360e-02
  61. -1.7713e-01 -1.1977e-01
  62. -4.4066e-02 -1.5311e-01
  63. 6.1070e-02 -8.9206e-02
  64. 9.1423e-02 -1.3032e-03
  65. 5.9615e-02 5.2863e-02
  66. 7.4983e-03 5.6735e-02
  67. -2.8314e-02 2.7897e-02
  68. -3.4523e-02 -4.9758e-03
  69. -1.9318e-02 -2.2229e-02
  70. 5.4858e-04 -2.0498e-02
  71. 1.2327e-02 -8.1762e-03
  72. 1.2712e-02 3.8115e-03
  73.  
  74. GAMMA =
  75.  
  76. Columns 1 through 13:
  77.  
  78. 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  79. 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  80. 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  81. 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  82. -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  83. -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  84. -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  85. -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000
  86. 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000
  87. 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000
  88. 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000
  89. -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000
  90. -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207
  91. -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772
  92. -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659 1.81526
  93. 0.01627 -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234 0.42659
  94. 0.05372 0.01627 -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974 -0.65234
  95. 0.04696 0.05372 0.01627 -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841 -0.94974
  96. 0.01703 0.04696 0.05372 0.01627 -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636 -0.60841
  97. -0.01053 0.01703 0.04696 0.05372 0.01627 -0.06004 -0.13124 -0.12968 -0.00986 0.19612 0.35753 0.29972 -0.06636
  98.  
  99. Columns 14 through 19:
  100.  
  101. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  102. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  103. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  104. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  105. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  106. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  107. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  108. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  109. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  110. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  111. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  112. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  113. 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
  114. 1.29207 0.00000 0.00000 0.00000 0.00000 0.00000
  115. 2.45772 1.29207 0.00000 0.00000 0.00000 0.00000
  116. 1.81526 2.45772 1.29207 0.00000 0.00000 0.00000
  117. 0.42659 1.81526 2.45772 1.29207 0.00000 0.00000
  118. -0.65234 0.42659 1.81526 2.45772 1.29207 0.00000
  119. -0.94974 -0.65234 0.42659 1.81526 2.45772 1.29207
  120. -0.60841 -0.94974 -0.65234 0.42659 1.81526 2.45772
  121.  
  122. U = pinv(GAMMA)*(10-PHI*[0;0])
  123. U =
  124.  
  125. 7.750235
  126. -7.015348
  127. 10.210356
  128. -4.402780
  129. 8.019733
  130. -2.570849
  131. 6.493599
  132. -1.306446
  133. 5.454418
  134. -0.462480
  135. 4.781299
  136. 0.059228
  137. 4.395937
  138. 0.319370
  139. 4.253504
  140. 0.348207
  141. 4.337430
  142. 0.149095
  143. 4.595100
  144.  
  145. U = pinv(GAMMA)*(10/2-PHI*[0;0])
  146. U =
  147.  
  148. 3.875117
  149. -3.507674
  150. 5.105178
  151. -2.201390
  152. 4.009867
  153. -1.285425
  154. 3.246800
  155. -0.653223
  156. 2.727209
  157. -0.231240
  158. 2.390649
  159. 0.029614
  160. 2.197969
  161. 0.159685
  162. 2.126752
  163. 0.174103
  164. 2.168715
  165. 0.074547
  166. 2.297550
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