Linear multivariable systems

Cover......Page 1
Series......Page 2
Title page......Page 3
Copyright page......Page 4
Volume......Page 5
TABLE OF CONTENTS......Page 7
CHAPTER 1 - INTRODUCTION......Page 11
2.1 Introduction......Page 15
2.2 Linear Vector Spaces......Page 16
2.3 Linear Operators......Page 25
2.4 Scalar Matrices......Page 30
2.5 Polynomial Matrices......Page 34
2.6 Concluding Remarks and References......Page 46
Problems - Chapter 2......Page 48
3.1 Introduction......Page 54
3.2 State Representations......Page 56
3.3 The Determination of $e^{At}$......Page 68
3.4 Equivalent Systems......Page 72
3.5 Controllability and Observability......Page 75
3.6 Controllable and Observable Companion Forms......Page 87
3.7 Concluding Remarks and References......Page 102
Problems - Chapter 3......Page 104
4.1 Introduction......Page 109
4.2 The Transfer Matrix......Page 110
4.3 The Structure Theorem......Page 115
4.4 Realization Theory (Time Domain Reduction)......Page 124
4.5 Concluding Remarks and References......Page 137
Problems - Chapter 4......Page 140
5.1 Introduction......Page 144
5.2 Transfer and Equivalence Relations......Page 145
5.3 Differential Operator Controllability and Observability......Page 163
5.4 Realization Theory (Frequency Domain Reduction)......Page 168
5.5 System Invertibility and Functional Reproducibility......Page 171
5.6 Concluding Remarks and References......Page 187
Problems - Chapter 5......Page 192
6.1 Introduction......Page 200
6.2 Quadratic Optimization......Page 201
6.3 Pole Assignment via the Controllable Companion Form......Page 206
6.4 Asymptotic State Estimation......Page 215
6.5 Concluding Remarks and References......Page 231
Problems - Chapter 6......Page 233
7.1 Introduction......Page 236
7.2 Frequency Domain Implications of State Feedback......Page 237
7.3 Frequency Domain State Estimation and Feedback......Page 241
7.4 A General Compensation Technique......Page 260
7.5 Concluding Remarks and References......Page 270
Problems - Chapter 7......Page 273
8.1 Introduction......Page 279
8.2 Arbitrary Pole Placement......Page 281
8.3 Decoupling......Page 297
8.4 Static Decoupling......Page 315
8.5 Exact Model Matching......Page 326
8.6 Concluding Remarks and References......Page 334
Problems - Chapter 8......Page 339
REFERENCES......Page 353
INDEX......Page 361