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E-grāmata: Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and Synthesis

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Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and SynthesisPalielināt
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This book presents up-to-date research developments and novel methodologies on fuzzy control systems. It presents solutions to a series of problems with new approaches for the analysis and synthesis of fuzzy time-delay systems and fuzzy stochastic systems, including stability analysis and stabilization, dynamic output feedback control, robust filter design, and model approximation. A set of newly developed techniques such as fuzzy Lyapunov function approach, delay-partitioning, reciprocally convex, cone complementary linearization approach are presented. Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and Synthesis is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Recenzijas

It can serve as a well structured and easy to follow advanced text in fuzzy control with a wealth of illustrative up-to-the point examples. Practitioners can find the material instructive when designing control strategies for advanced control problems. The book could meet the needs of a broad audience addressing the needs of those interested in exploring the main and recent trends of fuzzy control and fuzzy modeling. (Witold Pedrycz, zbMATH 1310.93002, 2015)

List of Figures
xv
List of Tables
xix
Notations and Acronyms xxi
1 Introduction
1(34)
1.1 Stability and Synthesis of T-S Fuzzy Systems
4(8)
1.1.1 Stability and Stabilization
4(5)
1.1.2 Optimal Synthesis Problems
9(3)
1.2 Stability Analysis of Time-Delay Systems: An LMI Approach
12(14)
1.2.1 Delay-Independent Case
13(1)
1.2.2 Delay-Dependent Case
13(13)
1.3 Publication Contribution
26(2)
1.4 Publication Outline
28(7)
Part I Analysis and Synthesis of T-S Fuzzy Time-Delay Systems
2 Stability Analysis of Discrete-Time T-S Fuzzy Time-Delay Systems
35(22)
2.1 Introduction
35(1)
2.2 System Description and Preliminaries
35(3)
2.3 Main Results
38(16)
2.3.1 Delay Partitioning Approach
38(12)
2.3.2 Input-Output Approach
50(3)
2.3.3 Reciprocally Convex Approach
53(1)
2.4 Illustrative Example
54(1)
2.5 Conclusion
55(2)
3 Stabilization and DOF Control of Discrete-Time T-S Fuzzy Time-Delay Systems
57(22)
3.1 Introduction
57(1)
3.2 System Description and Preliminaries
57(4)
3.3 Stabilization
61(1)
3.4 Dynamic Output Feedback Control
62(9)
3.5 Illustrative Example
71(6)
3.6 Conclusion
77(2)
4 Robust Filtering of Discrete-Time T-S Fuzzy Time-Delay Systems
79(36)
4.1 Introduction
79(1)
4.2 Hoc Filter Design
79(15)
4.2.1 System Description and Preliminaries
79(4)
4.2.2 Main Results
83(8)
4.2.3 Illustrative Example
91(3)
4.3 Reliable Filter Design
94(19)
4.3.1 System Description and Preliminaries
94(4)
4.3.2 Main Results
98(11)
4.3.3 Illustrative Example
109(4)
4.4 Conclusion
113(2)
5 Distributed Filtering of Discrete-Time T-S Fuzzy Time-Delay Systems
115(18)
5.1 Introduction
115(1)
5.2 System Description and Preliminaries
115(5)
5.3 Main Results
120(8)
5.4 Illustrative Example
128(3)
5.5 Conclusion
131(2)
6 Model Approximation of Discrete-Time T-S Fuzzy Time-Delay Systems
133(24)
6.1 Introduction
133(1)
6.2 System Description and Preliminaries
133(3)
6.3 Main Results
136(9)
6.3.1 Performance Analysis
136(5)
6.3.2 Model Approximation
141(4)
6.4 Special Cases
145(3)
6.4.1 Delay-Free Model Case
145(2)
6.4.2 Zero-Order Model Case
147(1)
6.5 Illustrative Example
148(5)
6.6 Conclusion
153(4)
Part II Analysis and Synthesis of T-S Fuzzy Stochastic Systems
7 Stability and Stabilization of Discrete-Time T-S Fuzzy Stochastic Systems
157(28)
7.1 Introduction
157(1)
7.2 System Description and Preliminaries
157(2)
7.3 Main Results
159(16)
7.3.1 Stability Analysis
159(13)
7.3.2 Stabilization
172(3)
7.4 Illustrative Example
175(9)
7.5 Conclusion
184(1)
8 Dissipativity Analysis and Synthesis of Discrete-Time T-S Fuzzy Stochastic Systems
185(28)
8.1 Introduction
185(1)
8.2 System Description and Preliminaries
186(3)
8.3 Main Results
189(14)
8.3.1 Model Transformation
189(4)
8.3.2 Dissipativity Analysis
193(5)
8.3.3 Dissipative Controller Design
198(5)
8.4 Illustrative Example
203(9)
8.5 Conclusion
212(1)
9 Robust L2-L∞ DOF Control of Continuous-Time T-S Fuzzy Stochastic Systems
213(16)
9.1 Introduction
213(1)
9.2 System Description and Preliminaries
213(3)
9.3 Main Results
216(9)
9.4 Illustrative Example
225(3)
9.5 Conclusion
228(1)
10 Robust "Hoc Filtering of Discrete-Time T-S Fuzzy Stochastic Systems
229(20)
10.1 Introduction
229(1)
10.2 System Description and Preliminaries
230(2)
10.3 Main Results
232(12)
10.3.1 Filtering Analysis
232(8)
10.3.2 Hog Filter Design
240(4)
10.4 Illustrative Example
244(3)
10.5 Conclusion
247(2)
11 Fault Detection of Continuous-Time T-S Fuzzy Stochastic Systems
249(20)
11.1 Introduction
249(1)
11.2 System Description and Preliminaries
250(5)
11.3 Main Results
255(5)
11.3.1 Fuzzy-Rule-Independent Case
255(4)
11.3.2 Fuzzy-Rule-Dependent Case
259(1)
11.4 Illustrative Example
260(7)
11.5 Conclusion
267(2)
12 Model Approximation of Continuous-Time T-S Fuzzy Stochastic Systems
269(20)
12.1 Introduction
269(1)
12.2 System Description and Preliminaries
269(2)
12.3 Main Results
271(7)
12.3.1 Convex Linearization Approach
271(3)
12.3.2 Projection Approach
274(4)
12.4 Illustrative Example
278(8)
12.5 Conclusion
286(3)
Part III Fuzzy Control Applications
13 Fuzzy Control of Nonlinear Electromagnetic Suspension Systems
289(20)
13.1 Introduction
289(1)
13.2 Modeling of Electromagnetic Suspension Systems
290(7)
13.2.1 Nonlinear Dynamics
290(2)
13.2.2 T-S Fuzzy Modeling
292(5)
13.3 Fuzzy Control
297(6)
13.3.1 Performance Analysis
299(2)
13.3.2 Fuzzy Controller Design
301(2)
13.4 Simulation Results
303(4)
13.5 Conclusion
307(2)
14 Fuzzy Control of Nonlinear Air-Breathing Hypersonic Vehicles
309(24)
14.1 Introduction
309(2)
14.2 Nonlinear Model
311(3)
14.3 T-S Fuzzy Modeling
314(6)
14.4 Reference Output Tracking Control
320(6)
14.5 Simulation Results
326(6)
14.6 Conclusion
332(1)
References 333
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