LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay

✍ Scribed by Chong Lin, Guo Wang, Tong Heng Lee, Yong He

• Publisher: Springer
• Year: 2007
• Tongue: English
• Leaves: 207
• Series: Lecture Notes in Control and Information Sciences
• Edition: 1
• Category: Library

✦ Synopsis

This book provides the latest developments in the analysis and control of nonlinear time-delay systems using T-S fuzzy model approach. It presents a comprehensive, up-to-date, and detailed treatment of many interesting topics, such as stability analysis, stabilization, fuzzy variable structure control, fuzzy tracking control, fuzzy observer design, and filter design for T-S fuzzy systems with time delay.

✦ Table of Contents

Preface......Page 5
Symbols......Page 7
Contents......Page 9
1.1 History of Fuzzy Systems......Page 12
1.2 T-S Fuzzy Systems......Page 13
1.3 The Book......Page 16
2.1 Introduction......Page 19
2.2 Problem Formulation......Page 20
2.3 Stability Analysis......Page 21
2.4 Augmented Fuzzy Weighting-Dependent Lyapunov-Krasovskii Functional Method......Page 27
2.5 Further Augmented Lyapunov-Krasovskii Functional Methods......Page 28
2.6 Illustrative Examples......Page 32
2.7 Conclusions and Notes......Page 35
3.1 Introduction......Page 36
3.2 Problem Formulation......Page 37
3.3 Stability Results......Page 38
3.4 Illustrative Example......Page 45
3.5 Conclusion......Page 46
4.1 Problem Formulation......Page 47
4.2 Stabilization Method Using Razumikhin Theorem......Page 48
4.3 Other Stabilization Methods......Page 53
4.4 Illustrative Examples......Page 57
4.5 Conclusion......Page 61
5.1 Introduction......Page 62
5.2 Problem Formulation......Page 63
5.3 Stabilization Results......Page 64
5.4 Illustrative Example......Page 74
5.5 Conclusion......Page 78
6.1 Introduction......Page 81
6.2 Problem Formulation......Page 82
6.3 Delay-Free Case......Page 84
6.4 Time-Delay Case......Page 91
6.5 Illustrative Examples......Page 102
6.6 Conclusion and Notes......Page 105
7.1 Introduction......Page 110
7.2 Problem Formulation and Preliminaries......Page 111
7.3 Main Result......Page 113
7.4 Illustrative Examples......Page 124
7.5 Conclusion......Page 127
8.1 Introduction......Page 130
8.2 Problem Formulation and Preliminaries......Page 131
Output Tracking Control Design for Delay-Free Systems......Page 134
Output Tracking Control Design for Time-Delay Systems......Page 138
8.5 Illustrative Examples......Page 144
8.6 Conclusion and Notes......Page 148
9.1 Introduction......Page 153
9.2 Fuzzy Weighting-Dependent Approach to Filter Design......Page 154
9.3 General Fuzzy Filter Design......Page 162
9.4 Illustrative Examples......Page 171
9.5 Conclusion......Page 175
10.1 Introduction......Page 176
10.2 Fuzzy Descriptor Systems......Page 177
10.3 Stability Result......Page 179
10.4 Fuzzy Controller Design......Page 183
10.5 Illustrative Examples......Page 186
10.6 Conclusion and Notes......Page 191
Appendix A: Stability Theory for Time-Delay Systems......Page 192
Appendix B: Schur Complement......Page 194
References......Page 195
Index......Page 205