内容简介:
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.
英文目录:
List of Figures
List of Tables
Notations and Acronyms
1 Introduction
1.1 Stability and Synthesis of T-S Fuzzy Systems
1.1.1 Stability and Stabilization
1.1.2 Optimal Synthesis Problems
1.2 Stability Analysis of Time-Delay Systems: An LMI Approach
1.2.1 Delay-Independent Case
1.2.2 Delay-Dependent Case
1.3 Publication Contribution
1.4 Publication Outline
Part I: Analysis and Synthesis of T-S Fuzzy Time-Delay Systems
2 Stability Analysis of Discrete-Time T-S Fuzzy Time-Delay Systems
2.1 Introduction
2.2 System Description and Preliminaries
2.3 Main Results
2.3.1 Delay Partitioning Approach
2.3.2 Input-Output Approach
2.3.3 Reciprocally Convex Approach
2.4 Illustrative Example
2.5 Conclusion
3 Stabilization and DOF Control of Discrete-Time T-S Fuzzy Time-Delay Systems
3.1 Introduction
3.2 System Description and Preliminaries
3.3 Stabilization
3.4 Dynamic Output Feedback Control
3.5 Illustrative Example
3.6 Conclusion
4 Robust Filtering of Discrete-Time T-S Fuzzy Time-Delay Systems
4.1 Introduction
4.2 H∞ Filter Design
4.2.1 System Description and Preliminaries
4.2.2 Main Results
4.2.3 Illustrative Example
4.3 Reliable Filter Design
4.3.1 System Description and Preliminaries
4.3.2 Main Results
4.3.3 Illustrative Example
4.4 Conclusion
5 Distributed Filtering of Discrete-Time T-S Fuzzy Time-Delay Systems
5.1 Introduction
5.2 System Description and Preliminaries
5.3 Main Results
5.4 Illustrative Example
5.5 Conclusion
6 Model Approximation of Discrete-Time T-S Fuzzy Time-Delay Systems
6.1 Introduction
6.2 System Description and Preliminaries
6.3 Main Results
6.3.1 Performance Analysis
6.3.2 Model Approximation
6.4 Special Cases
6.4.1 Delay-Free Model Case
6.4.2 Zero-Order Model Case
6.5 Illustrative Example
6.6 Conclusion
Part II: Analysis and Synthesis of T-S Fuzzy Stochastic Systems
7 Stability and Stabilization of Discrete-Time T-S Fuzzy Stochastic Systems
7.1 Introduction
7.2 System Description and Preliminaries
7.3 Main Results
7.3.1 Stability Analysis
7.3.2 Stabilization
7.4 Illustrative Example
7.5 Conclusion
8 Dissipativity Analysis and Synthesis of Discrete-Time T-S Fuzzy Stochastic Systems
8.1 Introduction
8.2 System Description and Preliminaries
8.3 Main Results
8.3.1 Model Transformation
8.3.2 Dissipativity Analysis
8.3.3 Dissipative Controller Design
8.4 Illustrative Example
8.5 Conclusion
9 Robust L2-L∞ DOF Control of Continuous-Time T-S Fuzzy Stochastic Systems
9.1 Introduction
9.2 System Description and Preliminaries
9.3 Main Results
9.4 Illustrative Example
9.5 Conclusion
10 Robust H∞ Filtering of Discrete-Time T-S Fuzzy Stochastic Systems
10.1 Introduction
10.2 System Description and Preliminaries
10.3 Main Results
10.3.1 Filtering Analysis
10.3.2 H∞ Filter Design
10.4 Illustrative Example
10.5 Conclusion
11 Fault Detection of Continuous-Time T-S Fuzzy Stochastic Systems
11.1 Introduction
11.2 System Description and Preliminaries
11.3 Main Results
11.3.1 Fuzzy-Rule-Independent Case
11.3.2 Fuzzy-Rule-Dependent Case
11.4 Illustrative Example
11.5 Conclusion
12 Model Approximation of Continuous-Time T-S Fuzzy Stochastic Systems
12.1 Introduction
12.2 System Description and Preliminaries
12.3 Main Results
12.3.1 Convex Linearization Approach
12.3.2 Projection Approach
12.4 Illustrative Example
12.5 Conclusion Part III: Fuzzy Control Applications
13 Fuzzy Control of Nonlinear Electromagnetic Suspension Systems
13.1 Introduction
13.2 Modeling of Electromagnetic Suspension Systems
13.2.1 Nonlinear Dynamics
13.2.2 T-S Fuzzy Modeling
13.3 Fuzzy Control
13.3.1 Performance Analysis
13.3.2 Fuzzy Controller Design
13.4 Simulation Results
13.5 Conclusion
14 Fuzzy Control of Nonlinear Air-Breathing Hypersonic Vehicles
14.1 Introduction
14.2 Nonlinear Model
14.3 T-S Fuzzy Modeling
14.4 Reference Output Tracking Control
14.5 Simulation Results
14.6 Conclusion
References