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Intelligent Control, Filtering and Model Reduction Analysis for Fuzzy-Model-Based Systems

  • Book
  • © 2022

Overview

Authors:
  1. Xiaojie Su

    1. College of Automation, Chongqing University, Chongqing, China

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  2. Yao Wen

    1. College of Automation, Chongqing University, Chongqing, China

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  3. Yue Yang

    1. College of Automation, Chongqing University, Chongqing, China

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  4. Peng Shi

    1. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia

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  • Shows multi-model approach in which simple sub-models (typically linear models) are fuzzily combined to describe the global behavior of a nonlinear system
  • Includes fresh novel techniques including the linear matrix inequality (LMI) techniques, the slack matrix method, and so on
  • Explains stabilization synthesis and controller design for T-S fuzzy systems
  • Provides reliable filtering and fault detection problems that are solved for fuzzy systems

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 385)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Introduction

    • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
    Pages 1-22

  3. Stablility Analysis and Fuzzy Control

    1. Front Matter

      Pages 23-23
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    2. Stabilization Synthesis of T-S Fuzzy Delayed Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 25-41

    3. Output Feedback Control of Fuzzy Stochastic Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 43-58

    4. \(\mathcal {L}_{2}\)–\(\mathcal {L}_{\infty }\) Output Feedback Control of Fuzzy Switching Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 59-86

  4. Fuzzy Filtering and Fault Detection

    1. Front Matter

      Pages 87-87
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    2. Dissipative Filtering of Fuzzy Switched Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 89-104

    3. Fault Detection for Switched Stochastic Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 105-119

    4. Reliable Filtering for T-S Fuzzy Time-Delay Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 121-145

  5. Model Reduction and Reduced-Order Synthesis

    1. Front Matter

      Pages 147-147
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    2. Reduced-Order Model Approximation of Switched Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 149-164

    3. Model Reduction of Time-Varying Delay Fuzzy Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 165-184

    4. Model Approximation of Fuzzy Switched Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 185-214

    5. Reduced-Order Filter Design of Fuzzy Stochastic Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 215-241

  6. Event-Triggered Fuzzy Control Application

    1. Front Matter

      Pages 243-243
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    2. Dissipative Event-Triggered Fuzzy Control of Truck-Trailer Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 245-265

    3. Event-Triggered Fuzzy Control of Inverted Pendulum Systems

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 267-291

    4. Conclusion and Further Work

      • Xiaojie Su, Yao Wen, Yue Yang, Peng Shi
      Pages 293-296

  7. Back Matter

    Pages 297-313
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Keywords

About this book

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.

Reviews

“From the mathematical point of view it is worth mentioning that almost all results are presented as Theorems, followed by proofs and illustrative application examples. This aspect emphasizes the pedagogical aspects and qualities of the book. Specialists interested in fuzzy control as a possible option for ‘intelligent control’ will find in this book a genuine handbook with illustrations. Especially to them … the book is warmly recommended.” (Vladimir Răsvan, zbMATH 1480.93005, 2022)

Authors and Affiliations

  • College of Automation, Chongqing University, Chongqing, China

    Xiaojie Su, Yao Wen, Yue Yang

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

    Peng Shi

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