Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems
- Length: 334 pages
- Edition: 1
- Language: English
- Publisher: Springer
- Publication Date: 2021-08-18
- ISBN-10: 3030812138
- ISBN-13: 9783030812133
- Sales Rank: #0 (See Top 100 Books)
This book aims to introduce the state-of-the-art research of stability/performance analysis and optimal synthesis methods for fuzzy-model-based systems. A series of problems are solved with new approaches of design, analysis and synthesis of fuzzy systems, including stabilization control and stability analysis, dynamic output feedback control, fault detection filter design, and reduced-order model approximation. Some efficient techniques, such as Lyapunov stability theory, linear matrix inequality, reciprocally convex approach, and cone complementary linearization method, are utilized in the approaches. This book is a comprehensive reference for researchers and practitioners working on intelligent control, model reduction, and fault detection of fuzzy systems, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts and methodologies with theoretical and practical significance in system analysis and control synthesis.
Preface Acknowledgements Contents Notations and Acronyms List of Figures List of Tables 1 Introduction 1.1 Background 1.2 Fuzzy-Model-Based Systems 1.2.1 T-S Fuzzy Dynamic Model 1.2.2 Fuzzy-Model-Based Control System 1.2.3 Stability Analysis of Fuzzy Control Systems 1.3 Intelligent Control of Nonlinear Systems 1.3.1 Intelligent Control 1.3.2 Fuzzy Control 1.4 Reduced-Order Method Synthesis 1.4.1 Model Reduction 1.4.2 Reduced Filtering and Control 1.5 Event-Triggered Strategy 1.6 Publication Contribution 1.7 Publication Outline Part I Stability Analysis and Fuzzy Control 2 Stabilization Synthesis of T-S Fuzzy Delayed Systems 2.1 Introduction 2.2 System Description and Preliminaries 2.3 Main Results 2.3.1 Stability Analysis 2.3.2 State Feedback Fuzzy Control 2.4 Illustrative Example 2.5 Conclusion 3 Output Feedback Control of Fuzzy Stochastic Systems 3.1 Introduction 3.2 System Description and Preliminaries 3.3 Main Results 3.3.1 State-Feedback Control 3.3.2 Hankel-Norm Output Feedback Control 3.4 Illustrative Example 3.5 Conclusion 4 mathcalL2–mathcalLinfty Output Feedback Control of Fuzzy Switching Systems 4.1 Introduction 4.2 System Description and Preliminaries 4.3 System Performance Analysis 4.4 Dynamic Output Feedback Control 4.4.1 Reduced-Order Controller Design 4.4.2 Full-Order Controller Design 4.5 Illustrative Example 4.6 Conclusion Part II Fuzzy Filtering and Fault Detection 5 Dissipative Filtering of Fuzzy Switched Systems 5.1 Introduction 5.2 System Description and Preliminaries 5.2.1 System Description 5.2.2 Dissipativity Definition 5.3 Main Results 5.3.1 Dissipativity Performance Analysis 5.3.2 Dissipativity-Based Filter Design 5.4 Illustrative Example 5.5 Conclusion 6 Fault Detection for Switched Stochastic Systems 6.1 Introduction 6.2 System Description and Preliminaries 6.3 Main Results 6.3.1 System Performance Analysis 6.3.2 Fault Detection Filter Design 6.4 Illustrative Example 6.5 Conclusion 7 Reliable Filtering for T-S Fuzzy Time-Delay Systems 7.1 Introduction 7.2 System Description and Preliminaries 7.2.1 System Description 7.2.2 Dissipativity Definition 7.2.3 Reciprocally Convex Approach 7.3 Main Results 7.3.1 Reliable Dissipativity Analysis 7.3.2 Reliable Filter Design with Dissipativity 7.4 Illustrative Example 7.5 Conclusion Part III Model Reduction and Reduced-Order Synthesis 8 Reduced-Order Model Approximation of Switched Systems 8.1 Introduction 8.2 System Description and Preliminaries 8.3 Main Results 8.3.1 Pre-specified Performance Analysis 8.3.2 Model Approximation by Projection Technique 8.4 Illustrative Example 8.5 Conclusion 9 Model Reduction of Time-Varying Delay Fuzzy Systems 9.1 Introduction 9.2 System Description and Preliminaries 9.3 Main Results 9.3.1 Performance Analysis via Reciprocally Convex Technique 9.3.2 Model Approximation via Projection Technique 9.4 Illustrative Example 9.5 Conclusion 10 Model Approximation of Fuzzy Switched Systems 10.1 Introduction 10.2 System Description and Preliminaries 10.3 Main Results 10.3.1 Hankel-Norm Performance Analysis 10.3.2 Model Approximation by the Hankel-Norm Approach 10.4 Illustrative Example 10.5 Conclusion 11 Reduced-Order Filter Design of Fuzzy Stochastic Systems 11.1 Introduction 11.2 System Description and Preliminaries 11.3 Main Results 11.3.1 mathcalHinfty Performance Analysis 11.3.2 Reduced-Order Filter Design 11.4 Illustrative Example 11.5 Conclusion Part IV Event-Triggered Fuzzy Control Application 12 Dissipative Event-Triggered Fuzzy Control of Truck-Trailer Systems 12.1 Introduction 12.2 System Description and Preliminaries 12.2.1 Truck-Trailer Model 12.2.2 T-S Fuzzy Systems 12.3 Main Results 12.3.1 Dissipative Performance Analysis 12.3.2 Fuzzy Controller Design 12.4 Simulation Results 12.5 Conclusion 13 Event-Triggered Fuzzy Control of Inverted Pendulum Systems 13.1 Introduction 13.2 System Description and Preliminaries 13.2.1 Inverted Pendulum System 13.2.2 T-S Fuzzy System 13.3 Fuzzy Controller Design 13.3.1 Stability of the Nonlinear Inverted Pendulum Systems 13.3.2 Fuzzy Control of Inverted Pendulum Systems 13.3.3 Event-Triggered Fuzzy Control 13.4 Simulation Results 13.5 Conclusion 14 Conclusion and Further Work 14.1 Conclusion 14.2 Further Work Appendix References
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