目录 前言 Chapter l System Model 1 1.2.2 Transfer Function 4 1.2.3 The Statespace Model 7 1.3 Transition from One Mathematical Model to Another 17 1.3.1 From Differential Equation to Transfer Function for SISO Systems 17 1.3.2 From Transfer Function to Differential Equation for SISO Systems 18 1.3.3 From G(s) to g(t) and Vice Versa 18 1.3.4 From State Equations to Transfer Function Matrix 18 1.3.5 From Transfer Function Matrix to State Equations for SISO Systems 20 1.4 Summary 23 Appendix: Three Power Generation Models 23 Chapter 2 Linear Transformation of State Vector 32 2.1 Linear Algebra 32 2.2 Transform to Diagonal Form and Jordan Form 37 Chapter 3Solution of State Space Model 48 3.2 Solution ofLTI State Equations 48 3.3.1 Properties 51 3.3.2 Calculating the state transition matrix 55 3.4 Discretization 63 3.5 Solution of DiscreteTime Equation 65 4.2 Definition 74 4.3.1 Lyapunovs Second Method 85 4.3.2 State Dynamics Stability Criteria for Continuous Linear Systems 93 4.3.3 State Dynamics Stability Criteria for Discrete Systems 101 Chapter 5Controllability and Observability 106 5.2 Definition 107 5.2.1 Controllability 107 5.2.2 0bservability 108 5.3.1 Controllable Criteria 109 5.3.2 Controllable Examples 115 5.3.4 0bservable Examples 120 5.4 DualitySystem 123 5.4.1 Definition 123 5.4.2 Properties ofDuality Systems 124 5.5.1 Controllability Canonical Form of Single-Input Systems 126 5.5.20 bservability Canonical Form of Single-Output Systems 131 5.5.3 Example 133 5.5.40 bservability and Controllability Canonical Form of Multi lnput Multi-Output Systcms 136 5.6 System Decomposition 137 5.6.1 Controllability Decomposition 137 5.6.3 Controllability and Observability Decomposition 143 5.6.4 Minimum Realization 148 Chapter 6 State Feedback and Observer 159 6.2 Linear Feedback 159 6.2.2 0utput Feedback 160 6.3.1 Sufficient and Necessary Condition for Arbitrary Pole Assignment 162 6.3.2 Methods to Assign the Poles ofa System 165 6.3.3 Examples 169 6.4 State Estimator 174 6.4.1 Introduction 174 6.5 State Feedback Based on State Estimator 187 Appendix:State Feedback and Observer for Main Steam-temperature Control in Power Plant Steamboiler Generation System 190 Excrciscs 193 参考文献 196
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