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LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems with Time Delay

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  • © 2007

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Authors:
  1. Chong Lin

    1. Institute of Complexity Science, Qingdao University, Qingdao, China

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  2. Qing-Guo Wang

    1. Department of Electrical and Computer Engineering, National University of Singapore, Singapore

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  3. Tong Heng Lee

    1. Department of Electrical and Computer Engineering, National University of Singapore, Singapore

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  4. Yong He

    1. School of Information Science and Engineering, Central South University, Changsha, China

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  • Up-to-date developments in the analysis and control area for nonlinear time-delay systems using T-S fuzzy model approach
  • Comprehensive monograph on T-S fuzzy systems with time delay

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 351)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    Pages 1-7

  3. Stability Analysis of T-S Fuzzy Systems

    Pages 9-25

  4. Extension to Fuzzy Large-Scale Systems

    Pages 27-37

  5. Stabilization Methods for T-S Fuzzy Systems

    Pages 39-53

  6. Variable Structure Control for T-S Fuzzy Systems

    Pages 55-73

  7. Observer-Based Fuzzy Control: Delay-Independent Method

    Pages 75-103

  8. Observer-Based Fuzzy Control: Delay-Dependent Method

    Pages 105-124

  9. Output Tracking Control for T-S Fuzzy Systems

    Pages 125-147

  10. Fuzzy Filter Design for T-S Fuzzy Systems

    Pages 149-171

  11. Descriptor Method for T-S Fuzzy Control Systems

    Pages 173-188

  12. Back Matter

    Pages 189-204
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Keywords

About this book

SinceinitiatedbyLot?A. Zadehin1965,fuzzysettheoryhastriggeredacons- erably large body of areas to blossom. A fuzzy system is, in a very broad sense, anyfuzzylogic-basedsystemwherefuzzylogiccanbeusedeither asthebasisfor the representation of di?erent forms of system knowledge or the model for the interactions and relationships among the system variables. Fuzzy systems have proven to be an important tool for modeling complex systems for which, due to complexity or imprecision, classical tools are unsuccessful. There have been diverse ?elds of applications of fuzzy technology from medicine to management, from engineering to behavioral science, from vehicle control to computational linguistics, and so on. Fuzzy modeling is a conjunction to understand the s- tem’s behavior and build useful mathematical models. Di?erent types of fuzzy models have been proposed in the literature, among which the Takagi-Sugeno (T-S) fuzzy model is a rule-based one suitable for the accurate approximation and identi?cation of a wide class of nonlinear systems. There has been an - creasing amount of work on analysis and synthesis of fuzzy systems based on T-S fuzzy models. Since 2000, T-S fuzzy model approach has been extended to tackleanalysisandcontrolproblemsofnonlinear systemswith time delay. So far extensive results have been presented for investigating T-S fuzzy systems with time delay, many of which adopt an easy and popular scheme, say, linear matrix inequality (LMI) based method. However, there lacks of a monograph in this direction to provide the state-of-the-art of coverage of this new growing area.

Reviews

From the reviews:

"This research monograph … is a timely treatise of the subject of control of Takagi-Sugeno (TS) fuzzy models … . The book includes a significant number of illustrative examples which help appreciate the underlying control algorithms. … Hopefully there is a wealth of a good reference material the reader may use to easily augment studying of this research monograph. All in all, the book is a highly cohesive, timely, and highly needed compendium of essential knowledge about fuzzy control of Takagi-Sugeno models." (Witold Pedrycz, Zentralblatt MATH, Vol. 1119 (21), 2007)

Authors and Affiliations

  • Institute of Complexity Science, Qingdao University, Qingdao, China

    Chong Lin

  • Department of Electrical and Computer Engineering, National University of Singapore, Singapore

    Qing-Guo Wang, Tong Heng Lee

  • School of Information Science and Engineering, Central South University, Changsha, China

    Yong He

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