| Preface | 5 |
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| Contents | 10 |
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| 1 Polynomial Matrix Fraction Descriptions | 13 |
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| 1.1 Right Coprime Matrix Fraction Description | 13 |
| 1.2 Left Coprime Matrix Fraction Description | 22 |
| 2 State Feedback Control | 28 |
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| 2.1 State Feedback in the Time Domain | 29 |
| 2.2 Parameterization of the State Feedback in the Frequency Domain | 31 |
| 3 State Observers | 38 |
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| 3.1 The Reduced-order Observer in the Time Domain | 39 |
| 3.2 Parameterization of the Full-order Observer in the Frequency Domain | 43 |
| 3.3 Parameterization of the Reduced-order Observer in the Frequency Domain | 47 |
| 4 Observer-based Compensators | 62 |
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| 4.1 The Observer-based Compensator in the Time Domain | 63 |
| 4.2 Representations of the Observer-based Compensator in the Frequency Domain | 65 |
| 4.3 Computation of the Observer-based Compensator in the Frequency Domain | 71 |
| 4.4 Summary of the Steps for the Design of Observer- based Compensators in the Frequency Domain | 75 |
| 4.5 Prevention of Problems Caused by Input-signal Restrictions | 81 |
| 5 Parametric Compensator Design | 92 |
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| 5.1 Parametric Design of State Feedback in the Time Domain | 93 |
| 5.2 Parametric Design of State Feedback in the Frequency Domain | 95 |
| 5.3 Parameterization of the State Feedback Gain Using the Pole Directions | 101 |
| 5.4 Parametric Design of Reduced-order Observers in the Frequency Domain | 103 |
| 5.5 Parametric Design of Reduced-order Observers in the Time Domain | 114 |
| 6 Decoupling Control | 118 |
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| 6.1 Diagonal Decoupling | 119 |
| 6.2 Decoupling with Coupled Rows | 130 |
| 7 Disturbance Rejection Using the Internal Model Principle | 142 |
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| 7.1 Time-domain Approach to Disturbance Rejection | 143 |
| 7.2 State Feedback Control of the Augmented System in the Frequency Domain | 153 |
| 7.3 State Observer for the Non-augmented System in the Frequency Domain | 158 |
| 7.4 Design of the Observer-based Compensator with an Internal Signal Model in the Frequency Domain | 159 |
| 8 Optimal Control and Estimation | 178 |
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| 8.1 The Linear Quadratic Regulator in the Time Domain | 179 |
| 8.2 The Linear Quadratic Regulator in the Frequency Domain | 180 |
| 8.3 The Stationary Kalman Filter in the Time Domain | 185 |
| 8.4 The Stationary Kalman Filter in the Frequency Domain | 188 |
| 9 Model-matching Control with Two Degrees of Freedom | 196 |
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| 9.1 Model-based Feedforward Control in the Time Domain | 198 |
| 9.2 Model-based Feedforward Control in the Frequency Domain | 200 |
| 9.3 Tracking Control by State Feedback in the Time Domain | 201 |
| 9.4 Tracking Control by State Feedback in the Frequency Domain | 206 |
| 9.5 Observer-based Tracking Control in the Time Domain | 209 |
| 9.6 Observer-based Tracking Control in the Frequency Domain | 211 |
| 10 Observer-based Compensators with Disturbance Rejection for Discrete-time Systems | 220 |
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| 10.1 Discrete-time Control in the Time Domain | 221 |
| 10.2 Discrete-time Control in the Frequency Domain | 226 |
| 11 Optimal Control and Estimation for Discrete- time Systems | 235 |
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| 11.1 The Linear Quadratic Regulator in the Time Domain | 236 |
| 11.2 The Linear Quadratic Regulator in the Frequency Domain | 237 |
| 11.3 The Stationary Kalman Filter in the Time Domain | 242 |
| 11.4 The Stationary Kalman Filter in the Frequency Domain | 247 |
| 11.5 Observer-based Compensators with a posteriori State Estimate in the Frequency Domain | 265 |
| A Appendix | 276 |
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| A.1 Computing a Row-reduced Polynomial Matrix¯D.(s) | 276 |
| A.2 Proof of Theorem 4.1 | 281 |
| References | 286 |
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| Index | 290 |