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Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering 2012 ed. [Kõva köide]

  • Formaat: Hardback, 166 pages, kõrgus x laius: 235x155 mm, kaal: 454 g, X, 166 p., 1 Hardback
  • Sari: Studies in Fuzziness and Soft Computing 282
  • Ilmumisaeg: 21-Apr-2012
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642286313
  • ISBN-13: 9783642286315
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  • Formaat: Hardback, 166 pages, kõrgus x laius: 235x155 mm, kaal: 454 g, X, 166 p., 1 Hardback
  • Sari: Studies in Fuzziness and Soft Computing 282
  • Ilmumisaeg: 21-Apr-2012
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642286313
  • ISBN-13: 9783642286315
Starting with a T-S fuzzy system, the objective of this book is to design an H-infinity filter with gain variations that guarantee a prescribed H-infinity performance level. It also shows that the solution can be found by solving linear matrix inequalities.

Takagi-Sugeno Fuzzy Systems Non-fragile H-infinity Filtering investigates the problem of non-fragile H-infinity filter design for Takagi-Sugeno (T-S) fuzzy systems. Given a T-S fuzzy system, the objective of this book is to design an H-infinity filter with the gain variations such that the filtering error system guarantees a prescribed H-infinity performance level. Furthermore, it demonstrates that the solution of non-fragile H-infinity filter design problem can be obtained by solving a set of linear matrix inequalities (LMIs). The intended audiences are graduate students and researchers both from the fields of engineering and mathematics. Dr. Xiao-Heng Chang is an Associate Professor at the College of Engineering, Bohai University, Jinzhou, Liaoning, China.

Arvustused

From the reviews:

In this book non-fragile H filtering problems for Takagi-Sugeno fuzzy systems are considered. Numerical examples are given to illustrate the design methods of each filter. All chapters of this book are written in a unified form that helps readers to see the key steps in solving non-fragile H filtering problems for Takagi-Sugeno fuzzy systems. This book is useful for control engineers and fuzzy control researchers working in the area of fuzzy filtering. (Hitoshi Katayama, Mathematical Reviews, Issue 2012 m)

1 Introduction
1(16)
1.1 Introduction
1(3)
1.2 Problem Formulation and Preliminaries
4(13)
1.2.1 T-S Fuzzy System
4(2)
1.2.2 Fuzzy Filter
6(1)
1.2.3 H∞ Filtering
6(1)
1.2.4 LMI Properties
7(6)
References
13(4)
2 With Additive Gain Variations
17(38)
2.1 Problem Formulation
17(2)
2.2 Non-Fragile H∞ Filter Design
19(30)
2.2.1 Continuous-Time Case
19(21)
2.2.2 Discrete-Time Case
40(9)
2.3 Numerical Example
49(4)
2.4 Conclusion
53(2)
References
53(2)
3 With Multiplicative Gain Variations for Type I
55(28)
3.1 Problem Formulation
55(2)
3.2 H∞ Filtering Analysis
57(2)
3.3 Non-Fragile H∞ Filter Design
59(11)
3.3.1 Case A
60(4)
3.3.2 Case B
64(6)
3.4 Further Researches
70(7)
3.5 Simulation Example
77(4)
3.6 Conclusion
81(2)
References
82(1)
4 With Multiplicative Gain Variations for Type II
83(20)
4.1 Problem Formulation
83(2)
4.2 Filtering Analysis
85(2)
4.3 Non-Fragile Filter Design
87(10)
4.3.1 Case A
88(4)
4.3.2 Case B
92(5)
4.4 Simulation Example
97(4)
4.5 Conclusion
101(2)
References
102(1)
5 With Linear Fractional Parametric Uncertainties
103(24)
5.1 Problem Formulation
103(3)
5.2 Filtering Analysis
106(2)
5.3 Non-Fragile Filter Design
108(6)
5.4 Non-PDC Law
114(8)
5.5 Simulation Example
122(3)
5.6 Conclusion
125(2)
References
125(2)
6 A Descriptor Representation Approach
127(38)
6.1 Introduction
127(2)
6.2 Non-Fragile Filter Design
129(20)
6.2.1 Type I
129(7)
6.2.2 Type II
136(9)
6.2.3 Fuzzy Lyapunov Function Approach
145(4)
6.3 Non-PDC Law
149(9)
6.4 Improved Result
158(2)
6.5 Numerical Example
160(2)
6.6 Conclusion
162(3)
References
163(2)
Glossary 165
The author's research interests include fuzzy systems, non-fragile control systems design, and robust control. The author is an Associate Professor at the College of Engineering, Bohai University, China.