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1 | (6) |
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1 | (2) |
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3 | (2) |
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1.3 The Closed-Loop System |
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5 | (1) |
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6 | (1) |
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6 | (1) |
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2 H2 Performance Criteria |
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7 | (20) |
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7 | (1) |
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2.2 The Different Criteria |
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8 | (4) |
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2.2.1 Reference Tracking---The Model Reference Control |
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8 | (1) |
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2.2.2 Noise Rejection---The Minimum Variance Control |
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9 | (1) |
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2.2.3 The Composite Performance |
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10 | (1) |
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2.2.4 Economy of Control Effort |
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11 | (1) |
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2.3 Duality with System Identification---The Ideal Controllers |
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12 | (7) |
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12 | (4) |
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16 | (2) |
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2.3.3 The Composite Criterion |
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18 | (1) |
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2.4 Beware of What You Ask for---Choosing the Reference Model |
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19 | (5) |
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2.4.1 Too Ambitious Performance |
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21 | (3) |
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24 | (3) |
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25 | (2) |
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3 One-Shot Optimization---The VRFT Method |
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27 | (42) |
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27 | (1) |
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27 | (7) |
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3.2.1 Generation of the Virtual Reference---A Caveat |
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32 | (2) |
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34 | (5) |
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3.4 Dealing with Non-minimum Phase Plants |
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39 | (6) |
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3.4.1 The Flexible VRFT Criterion |
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41 | (2) |
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3.4.2 Implementation Issues |
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43 | (1) |
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44 | (1) |
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45 | (4) |
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3.5.1 Choosing the Instrumental Variable |
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47 | (2) |
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49 | (16) |
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3.6.1 The Need of Instrumental Variables |
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50 | (4) |
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3.6.2 Applying the Flexible Criterion |
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54 | (11) |
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65 | (4) |
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66 | (3) |
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69 | (20) |
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4.1 Some Things to Remember from Calculus |
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69 | (3) |
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4.2 Optimization Algorithms (Dynamic Systems) |
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72 | (3) |
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75 | (1) |
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4.3 The Basic Algorithms and Their Convergence |
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75 | (12) |
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75 | (5) |
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4.3.2 Other Search Directions |
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80 | (1) |
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81 | (4) |
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85 | (2) |
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87 | (2) |
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88 | (1) |
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5 Convergence to the Globally Optimal Controller |
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89 | (30) |
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5.1 Jy---The Reference Tracker |
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90 | (12) |
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5.2 Je---The Variance Minimizer |
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102 | (2) |
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104 | (4) |
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5.4 Choosing the Algorithm Parameters |
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108 | (4) |
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5.4.1 The Search Direction |
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108 | (1) |
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5.4.2 The Step Sizes---First Solution |
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109 | (1) |
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5.4.3 The Step Sizes---Second Solution |
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110 | (2) |
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112 | (3) |
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115 | (4) |
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117 | (2) |
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119 | (26) |
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119 | (1) |
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119 | (2) |
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121 | (3) |
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6.4 Manipulation of the Reference Spectrum |
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124 | (9) |
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6.4.1 Properties of the Sensitivity |
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125 | (2) |
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6.4.2 Applying a Different Reference |
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127 | (2) |
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129 | (4) |
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133 | (9) |
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133 | (5) |
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138 | (4) |
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142 | (3) |
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144 | (1) |
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145 | (20) |
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7.1 Iterative Feedback Tuning |
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146 | (8) |
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146 | (4) |
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150 | (4) |
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7.2 Frequency Domain Tuning |
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154 | (5) |
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155 | (3) |
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158 | (1) |
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7.3 Correlation-Based Tuning |
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159 | (4) |
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160 | (3) |
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163 | (2) |
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163 | (2) |
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165 | |
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8.1 A Liquid Flow Process |
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166 | (11) |
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169 | (5) |
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174 | (3) |
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177 | (10) |
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178 | (8) |
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186 | (1) |
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8.3 A Temperature Process |
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187 | |
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8.3.1 The Favorable Scenario |
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187 | (7) |
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194 | (13) |
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207 | |