Robust Control System Design: Advanced State Space Techniques

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Chia-Chi Tsui
CRC Press, Dec 11, 2003 - Technology & Engineering - 500 pages
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Robust Control System Design: Advanced State Space Techniques, Second Edition expands upon a groundbreaking and combinatorial approach to state space control system design that fully realizes the critical loop transfer function and robustness properties of state/generalized state feedback control. This edition offers many new examples and exercises to illustrate and clarify new design concepts, approaches, and procedures while highlighting the fact that state/generalized state feedback control can improve system performance and robustness more effectively than other forms of control.

Revised and expanded throughout, the second edition presents an improved eigenstructure assignment design method that enhances system performance and robustness more directly and effectively and allows for adjustment of design formulations based on design testing and simulation. The author proposes the systematic controller order adjustment for the tradeoff between performance and robustness based on the complete unification of the state feedback control and static output feedback control. The book also utilizes a more accurate robust stability measure to guide control designs.
 

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Contents

System Mathematical Models and Basic Properties
1
11 TWO KINDS OF MATHEMATICAL MODELS
2
12 EIGENSTRUCTURE DECOMPOSITION OF A STATE SPACE MODEL
11
13 SYSTEM ORDER CONTROLLABILITY AND OBSERVABILITY
13
14 SYSTEM POLES AND ZEROS
21
EXERCISES
23
SingleSystem Performance and Sensitivity
27
21 SYSTEM PERFORMANCE
28
64 OBSERVER ORDER ADJUSTMENT TO TRADEOFF BETWEEN PERFORMANCE AND ROBUSTNESS
150
EXERCISES
154
Observer Design for Minimized Order
157
71 DESIGN FORMULATION Tsui 1985 1993a
158
72 DESIGN ALGORITHM AND ITS ANALYSIS
160
73 EXAMPLES AND SIGNIFICANCE OF THIS DESIGN Tsui 1998a
164
EXERCISES
174
Design of Feedback ControlEigenstructure Assignment
177

22 SYSTEM SENSITIVITY AND ROBUSTNESS
38
CONCLUSION
53
Feedback System Sensitivity
55
31 SENSITIVITY AND LOOP TRANSFER FUNCTION OF FEEDBACK SYSTEMS
56
32 SENSITIVITY OF FEEDBACK SYSTEMS OF MODERN CONTROL THEORY
63
SUMMARY
76
A New Feedback Control Design Approach
79
GENERATION OF STATE FEEDBACK CONTROL SIGNAL WITHOUT EXPLICIT SYSTEM STATES
80
42 PERFORMANCE OF OBSERVER FEEDBACK SYSTEMS SEPARATION PROPERTY
85
43 THE CURRENT STATE OF LTR OBSERVER DESIGN
88
44 A NEW DESIGN APPROACH AND NEW FEEDBACK STRUCTUREA DYNAMIC OUTPUT FEEDBACK COMPENSATOR THAT GENERAT...
93
EXERCISES
99
Solution of Matrix Equation TA FT LC
105
51 COMPUTATION OF A SYSTEMS OBSERVABLE HESSENBERG FORM
106
52 SOLVING MATRIX EQUATION TAFT LC
115
EXERCISES
126
Observer Dynamic Part Design for Robustness Realization
129
61 SOLUTION OF MATRIX EQUATION TB 0
130
62 ANALYSIS AND EXAMPLES OF THIS DESIGN SOLUTION
132
63 COMPLETE UNIFICATION OF TWO EXISTING BASIC MODERN CONTROL SYSTEM STRUCTURES
149
81 SELECTION AND PLACEMENT OF FEEDBACK SYSTEM POLES
178
82 EIGENVECTOR ASSIGNMENT
196
SUMMARY
215
EXERCISES
216
Design of Feedback ControlQuadratic Optimal Control
221
91 DESIGN OF DIRECT STATE FEEDBACK CONTROL
223
92 DESIGN OF GENERALIZED STATE FEEDBACK CONTROL
226
93 COMPARISON AND CONCLUSION OF FEEDBACK CONTROL DESIGNS
230
EXERCISES
233
Design of Failure Detection Isolation and Accommodation Compensators
235
101 FAILURE DETECTION AND ISOLATION
236
102 ADAPTIVE STATE FEEDBACK CONTROL FOR FAILURE ACCOMMODATION
246
103 THE TREATMENT OF MODEL UNCERTAINTY AND MEASUREMENT NOISE
251
EXERCISES
262
Relevant Linear Algebra and Numerical Linear Algebra
263
Design Projects and Problems
289
References
299
Index
315
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