Stability Analysis of Fuzzy-Model-Based Control Systems

1. Front Matter

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2. Chapter 1 Introduction

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 1-11

3. Chapter 2 Stability and Performance Conditions for MFSI State-Feedback FMB Control Systems

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 13-22

4. Chapter 3 Stability Analysis of FMB Control Systems under MFSD Approach

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 23-58

5. Chapter 4 BMI Stability Conditions for FMB Control Systems

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 59-84

6. Chapter 5 Stability Analysis of FMB Control Systems Using PDLF

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 85-100

7. Chapter 6 Regional Switching FMB Control Systems

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 101-122

8. Chapter 7 Fuzzy Combined Controller for Nonlinear Systems

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 123-150

9. Chapter 8 Time-Delay FMB Control Systems

   • Hak-Keung Lam, Frank Hung-Fat Leung

   Pages 151-171

10. Chapter 9 Sampled-Data FMB Model Reference Control Systems

    • Hak-Keung Lam, Frank Hung-Fat Leung

    Pages 173-190

11. Chapter 10 IT2 FMB Control Systems

    • Hak-Keung Lam, Frank Hung-Fat Leung

    Pages 191-215

12. Back Matter

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In this book, the state-of-the-art fuzzy-model-based (FMB) based control approaches are covered. A comprehensive review about the stability analysis of type-1 and type-2 FMB control systems using the Lyapunov-based approach is given, presenting a clear picture to researchers who would like to work on this field. A wide variety of continuous-time nonlinear control systems such as state-feedback, switching, time-delay and sampled-data FMB control systems, are covered. In short, this book summarizes the recent contributions of the authors on the stability analysis of the FMB control systems. It discusses advanced stability analysis techniques for various FMB control systems, and founds a concrete theoretical basis to support the investigation of FMB control systems at the research level. The analysis results of this book offer various mathematical approaches to designing stable and well-performed FMB control systems. Furthermore, the results widen the applicability of the FMB control approach and help put the fuzzy controller in practice. A wide range of advanced analytical and mathematical analysis techniques will be employed to investigate the system stability and performance of FMB-based control systems in a rigorous manner. Detailed analysis and derivation steps are given to enhance the readability, enabling the readers who are unfamiliar with the FMB control systems to follow the materials easily. Simulation examples, with figures and plots of system responses, are given to demonstrate the effectiveness of the proposed FMB control approaches.

• fuzzy control
• fuzzy controller
• nonlinear control
• nonlinear control system
• nonlinear system
• simulation
• stability

From the reviews:

“This specialized volume addresses an important and timely topic of a thorough stability analysis of fuzzy models. … The book tackles some aspects of such fundamental design issues and offers interesting results. All in all, the volume is an indispensable source of knowledge for those interested in fuzzy control and control engineering, in general.” (Witold Pedrycz, Zentralblatt MATH, Vol. 1220, 2011)

• Division of Engineering, King’s College London, London, United Kingdom

  Hak-Keung Lam

• Centre for Signal Processing, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong

  Frank Hung-Fat Leung

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