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Tables of Contents for Eigenstructure Assignment for Control System Design
Chapter/Section Title
Page #
Page Count
Preface
xi
2
Symbols and Abbreviations
xiii
1 Introduction
1
8
1.1 Overview of Eigenstructure Assignment
1
5
1.2 Outline
6
3
2 Principles of Eigenstructure Assignment
9
20
2.1 Introduction
9
1
2.2 Definition of Eigenstructure Assignment
9
4
2.3 Role of the System Eigenstructure
13
1
2.4 Freedom for Eigenstructure Assignment
14
1
2.5 Allowable Eigenvector Subspaces
15
3
2.6 Eigenvalue Assignment
18
2
2.7 Assignment of Desired Eigenvectors
20
3
2.8 Eigenvalues and Eigenvectors: a Design Compromise
23
2
2.9 Calculation of Controller Matrices
25
2
2.10 Summary
27
2
3 Parametric Eigenstructure Assignment
29
20
3.1 Introduction
29
1
3.2 Basic Parametric Eigenstructure Assignment
30
6
3.3 Generic Parametric Eigenstructure Assignment
36
9
3.4 Unified Parametric Eigenstructure Assignment
45
3
3.5 Summary
48
1
4 Low Sensitivity Eigenstructure Assignment
49
22
4.1 Introduction
49
1
4.2 Eigenvalue Sensitivity
50
3
4.3 Direct Eigenstructure Assignment
53
1
4.4 Rank n Update Eigenstructure Assignment
54
2
4.5 Rank One Update Eigenstructure Assignment
56
2
4.6 Eigenstructure Assignment by KNV Methods
58
3
4.7 Eigenstructure Assignment Based on Sensitivity Minimisation
61
7
4.8 Summary
68
3
5 Robust Control via Eigenstructure Optimisation
71
26
5.1 Introduction
71
1
5.2 Robust Control Design Using Basic Parametric Eigenstructure Assignment
72
10
5.3 Robust Control Design Using Generic Parametric Eigenstructure Assignment
82
8
5.4 Robust Control Design Using Unified Parametric Eigenstructure Assignment
90
6
5.5 Summary
96
1
6 Multiobjective Techniques for Eigenstructure Assignment Design
97
20
6.1 Introduction
97
1
6.2 The Method of Inequalities
98
1
6.3 Genetic Algorithms
99
1
6.4 Multiobjective Performance Criteria
100
5
6.5 Multiobjective Controller Design Using the Method of Inequalities
105
4
6.6 Multiobjective Controller Design Using Genetic Algorithms
109
4
6.7 Summary
113
4
7 Eigenstructure Assignment Using Output Feedback
117
26
7.1 Introduction
117
1
7.2 Formulation of Output Feedback Eigenstructure Assignment
118
1
7.3 Generic Parametric Expression of Outpur Feedback Eigenstructure Assignment
119
7
7.4 Multi-Stage Parametric Output Feedback Eigenstructure Assignment
126
4
7.5 Parametric Output Feedback Eigenstructure Assignment
130
2
7.6 Dynamical Compensator Design Using Output Feedback
132
2
7.7 Observer Based Eigenstructure Assignment
135
2
7.8 Low Sensitivity and Robust Output Feedback Eigenstructure Assignment
137
5
7.9 Summary
142
1
8 Multirate Sampled-Data System Control via Eigenstructure Assignment
143
16
8.1 Introduction
143
1
8.2 Design of Single Rate Sampled Data System
144
2
8.3 Multirate System Model
146
2
8.4 Design of Multirate Sampled-Data Systems
148
4
8.5 An Example
152
6
8.6 Summary
158
1
9 Eigenstructure Assignment for Description Systems
159
24
9.1 Introduction
159
1
9.2 Controller Design Formulation
160
1
9.3 Eigenvectors and Generalised Eigenvectors
161
8
9.4 Explicit Parametric Expression
169
7
9.5 Robust Control Design
176
4
9.6 An Example
180
2
9.7 Summary
182
1
10 Robust Fault Detection by Observer Eigenstructure Assignment
183
14
10.1 Introduction
183
2
10.2 Residual Generation and Responses
185
1
10.3 General Principles for Disturbance Decoupling Design
186
3
10.4 Disturbance Decoupling by Assigning Left Eigenvectors
189
2
10.5 Dead-Beat Design for Robust Residual Generation
191
3
10.6 Examples
194
1
10.7 Summary
195
2
11 Eigenstructure Assignment Toolbox
197
12
11.1 Introduction
197
1
11.2 Basic Eigenstructure Assignment
198
1
11.3 Recursive Eigenstructure Assignment
198
3
11.4 Robust Eigenstructure Assignment
201
4
11.5 Multiobjective Robust Eigenstructure Assignment
205
1
11.6 Eigenstructure Assignment for Descriptor Systems
206
1
11.7 Eigenstructure Assignment for Sampled-Data Systems
206
1
11.8 Eigenstructure Assignment for Dynamical Compensators
207
1
11.9 Fundamental Functions
208
1
Appendix A Eigenvalues and Eigenvectors
209
2
Bibliography
211
20
Index
231