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  • © 2020

Control and Filtering of Fuzzy Systems with Switched Parameters

  • Studies the control and filtering problems for Takagi-Sugeno fuzzy systems with switched parameters
  • Presents a detailed investigation of mode-independent, mode-dependent, and asynchronous controller/filter design problems
  • Offers solutions to controller and filter gains, which are presented in terms of linear matrix inequalities

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 268)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
  2. Introduction

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 1-10
  3. Fuzzy-Model-Based Non-fragile GCC of Fuzzy MJSs

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 31-48
  4. Quantized Control of Fuzzy Hidden MJSs

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 49-67
  5. Asynchronous Control of Fuzzy MJSs Subject to Strict Dissipativity

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 69-93
  6. Dissipativity-Based Asynchronous Fuzzy Sliding Mode Control for Fuzzy MJSs

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 115-137
  7. Filtering for Discrete-Time Switched Fuzzy Systems with Quantization

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 139-156
  8. Reliable Filter Design of Fuzzy Switched Systems with Imprecise Modes

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 157-173
  9. Reliable Filtering of Nonlinear Markovian Jump Systems: The Continuous-Time Case

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 175-186
  10. HMM-Based Asynchronous Filter Design of Continuous-Time Fuzzy MJSs

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 187-196
  11. Networked Fault Detection for Fuzzy MJSs

    • Shanling Dong, Zheng-Guang Wu, Peng Shi
    Pages 197-209
  12. Back Matter

    Pages 211-212

About this book

This book presents recent advances in control and filter design for Takagi-Sugeno (T-S) fuzzy systems with switched parameters. Thanks to its powerful ability in transforming complicated nonlinear systems into a set of linear subsystems, the T-S fuzzy model has received considerable attention from those the field of control science and engineering. Typical applications of T-S fuzzy systems include communication networks, and mechanical and power electronics systems. Practical systems often experience abrupt variations in their parameters or structures due to outside disturbances or component failures, and random switching mechanisms have been used to model these stochastic changes, such as the Markov jump principle.


 
There are three general types of controller/filter for fuzzy Markov jump systems: mode-independent, mode-dependent and asynchronous. Mode-independence does not focus on whether modes are accessible and ignores partially useful modeinformation, which results in some conservatism. The mode-dependent design approach relies on timely, complete and correct information regarding the mode of the studied plant. Factors like component failures and data dropouts often make it difficult to obtain exact mode messages, which further make the mode-dependent controllers/filters less useful. Recently, to overcome these issues, researchers have focused on asynchronous techniques. Asynchronous modes are accessed by observing the original systems based on certain probabilities. The book investigates the problems associated with controller/filter design for all three types. 

It also considers various networked constraints, such as data dropouts and time delays, and analyzes the performances of the systems based on Lyapunov function and matrix inequality techniques, including the stochastic stability, dissipativity, and $H_\infty$. The book not only shows how these approaches solve the control and filtering problems effectively, but also offers potential meaningful research directions and ideas.


 
Covering a variety of fields, including continuous-time and discrete-time Markov processes, fuzzy systems, robust control, and filter design problems, the book is primarily intended for researchers in system and control theory, and is also a valuable reference resource for graduate and undergraduate students. Further, it provides cases of fuzzy control problems that are of interest to scientists, engineers and researchers in the field of intelligent control. Lastly it is useful for advanced courses focusing on fuzzy modeling, analysis, and control.


Reviews

“Each chapter comes with a list of pertinent timely references offering also some broader historical insights. The visible feature of the book is a well-organized formal treatment of the subject matter. … the book is a timely treatise of fuzzy models with switched parameters offering a useful contribution to the body of knowledge on advanced control.” (Witold Pedrycz, zbMATH 1452.93001, 2021)

Authors and Affiliations

  • National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, China

    Shanling Dong, Zheng-Guang Wu

  • School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia

    Peng Shi

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access