Linear systems : non-fragile control and filtering

Title:

Personal Author:

Yang, Guang-Hong, author

Publication Information:

Boca Raton : CRC Press, 2013

Physical Description:

xiii, 278 pages : illustrations ; 24 cm.

ISBN:

9781466580350

Abstract:

"Designing controllers/filters such that the resulting closed-loop systems are non-fragile or insensitive with respect to the perturbations in the controller or filter coefficients has become an important research topic in many fields of engineering and science. This book develops a systematic presentation of the newly proposed methods for non-fragile/insensitive control/filtering of linear systems with respect to controller/filter coefficient variations. It provides designs and guidelines that can be used to develop advanced non-fragile control techniques to improve reliability, maintainability, and survivability of complex control systems"--provided by publisher

Subject Term:

Linear control systems

Added Author:

Guo, Xiang-Gui,

Che, Wei-Wei,

Guan, Wei,

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010338074	TJ220 Y36 2013	Open Access Book	Book	Searching... Unknown

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Summary

Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices.

A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems

The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods.

More Effective Design Methods for Non-Fragile Controllers and Filters

The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.

Author Notes

Guang-Hong Yang is currently a professor and director of the Institute of Control Theory and Navigation Technology at the College of Information Science and Engineering, Northeastern University, China. His research interests include fault tolerant control, fault detection and isolation, non-fragile control systems design, robust control, networked control, nonlinear control, and flight control systems. Dr. Yang has published more than 200 fully-refereed papers in technical journals and conference proceedings and has coauthored two books. He is an associate editor for the IEEE Transactions on Fuzzy Systems and the International Journal of Systems Science (IJSS). He is the chair of the IEEE Harbin Section Control Systems Society Chapter and general chair/program chair of the Chinese Control and Decision Conference (CCDC) (2008-2013).

Xiang-Gui Guo is a lecturer in the School of Electrical Engineering at Tianjin University of Technology, China. His research interests include insensitive control, non-fragile control, reliable control, and their applications to flight control systems design.

Wei-Wei Che is currently an associate professor at Shenyang University, China. She is a member of the IEEE. Her research interest includes non-fragile control, quantization control, and their applications to networked control system design.

Wei Guan is a lecturer in the School of Automation at Shenyang Aerospace University, China. His research interests include non-fragile control, actuator saturation, and state constraints.

Preface	p. ix
Symbol Description	p. xiii
1 Introduction	p. 1
2 Preliminaries	p. 7
2.1 Delta Operator Definition	p. 7
2.2 H∞ Performance Index	p. 8
2.3 Operations on Systems	p. 9
2.4 Some Other Definitions and Lemmas	p. 11
3 Non-Fragile State Feedback Control with Norm-Bounded Gain Uncertainty	p. 19
3.1 Introduction	p. 19
3.2 Problem Statement	p. 19
3.3 Non-Fragile Guaranteed Cost Controller Design	p. 22
3.3.1 Additive Controller Gain Uncertainty Case	p. 22
3.3.2 Multiplicative Controller Gain Uncertainty Case	p. 26
3.4 Example	p. 34
3.5 Conclusion	p. 35
4 Non-Fragile Dynamic Output Feedback Control with Norm-Bounded Gain Uncertainty	p. 37
4.1 Introduction	p. 37
4.2 Problem Statement	p. 38
4.3 Non-Fragile Dynamic Output Feedback Controller Design	p. 41
4.3.1 Additive Controller Gain Uncertainty Case	p. 41
4.3.2 Multiplicative Controller Gain Uncertainty Case	p. 48
4.4 Example	p. 57
4.5 Conclusion	p. 60
5 Robust Non-Fragile Kalman Filtering with Norm-Bounded Gain Uncertainty	p. 61
5.1 Introduction	p. 61
5.2 Problem Statement	p. 62
5.3 Robust Non-Fragile Filter Design	p. 64
5.3.1 Additive Gain Uncertainty Case	p. 64
5.3.2 Multiplicative Gain Uncertainty Case	p. 73
5.4 Example	p. 82
5.5 Conclusion	p. 83
6 Non-Fragile Output Feedback Control with Interval-Bounded Coefficient Variations	p. 85
6.1 Introduction	p. 85
6.2 Non-Fragile H ∞ Controller Design for Discrete-Time Systems	p. 86
6.2.1 Problem Statement	p. 86
6.2.2 Non-Fragile H ∞ Controller Design Methods	p. 87
6.2.3 Example	p. 99
6.3 Non-Fragile H ∞ Controller Design for Continuous-Time Systems	p. 103
6.3.1 Problem Statement	p. 104
6.3.2 Non-Fragile H ∞ Controller Design Methods	p. 104
6.3.3 Example	p. 110
6.4 Non-Fragile H ∞ Controller Designs with Sparse Structures	p. 114
6.4.1 Problem Statement	p. 114
6.4.2 Sparse Structured Controller Design	p. 119
6.4.3 Example	p. 124
6.5 Conclusion	p. 128
7 Non-Fragile H ∞ Filtering with Interval-Bounded Coefficient Variations	p. 131
7.1 Introduction	p. 131
7.2 Non-Fragile H ∞ Filtering for Discrete-Time Systems	p. 132
7.2.1 Problem Statement	p. 132
7.2.2 Non-Fragile H ∞ , Filter Design Methods	p. 133
7.2.3 Example	p. 142
7.3 Non-Fragile H ∞ Filter Design for Linear Continuous-Time Systems	p. 145
7.3.1 Problem Statement	p. 145
7.3.2 Non-Fragile H ∞ Filter Design Methods	p. 146
7.3.3 Example	p. 151
7.4 Sparse Structured H ∞ Filter Design	p. 155
7.4.1 Problem Statement	p. 155
7.4.2 Non-Fragile H ∞ Filter Design with Sparse Structures	p. 160
7.4.3 Example	p. 164
7.5 Conclusion	p. 166
8 Insensitive H ∞ Filtering of Continuous-Time Systems	p. 167
8.1 Introduction	p. 167
8.2 Problem Statement	p. 168
8.3 Insensitive H ∞ Filter Design	p. 172
8.3.1 Additive Filter Coefficient Variation Case	p. 173
8.3.2 Multiplicative Filter Coefficient Variation Case	p. 177
8.4 Computation of Robust H ∞ Performance Index	p. 180
8.5 Comparison with the Existing Design Method	p. 182
8.6 Example	p. 183
8.7 Conclusion	p. 189
9 Insensitive Woo Filtering of Delta Operator Systems	p. 191
9.1 Introduction	p. 191
9.2 Problem Statement	p. 192
9.3 Insensitive H ∞ Filter Design	p. 198
9.3.1 Additive Coefficient Variation Case	p. 198
9.3.2 Multiplicative Filter Coefficient Variation Case	p. 202
9.4 Example	p. 206
9.5 Conclusion	p. 210
10 Insensitive H ∞ Output Tracking Control	p. 211
10.1 Introduction	p. 211
10.2 Problem Statement	p. 212
10.3 Insensitive Tracking Control Design	p. 218
10.4 Example	p. 220
10.5 Conclusion	p. 225
11 Insensitive H ∞ Dynamic Output Feedback Control	p. 227
11.1 Introduction	p. 227
11.2 Problem Statement	p. 228
11.2.1 Sensitivity Function	p. 228
11.2.2 Sensitivity Measures	p. 231
11.2.3 Insensitive H ∞ Control with Controller Coefficient Variations	p. 231
11.3 Insensitive Woo Controller Design	p. 231
11.3.1 Step 1: General Conditions for the Existence of Insensitive H ∞ Controllers	p. 231
11.3.2 Step 2: Non-Fragile H ∞ Controller Design with Interval-Bounded Controller Coefficient Variations	p. 236
11.3.3 Summary of the Approach	p. 243
11.3.4 Insensitive H ∞ Control with Multiplicative Controller Coefficient Variations	p. 244
11.4 Example	p. 252
11.5 Conclusion	p. 258
Bibliography	p. 263
Index	p. 277

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Table of Contents