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  • © 2016

Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems

Authors:

  • The first book on modeling, analysis and synthesis of interval type-2 TS fuzzy systems
  • Develops a uniform accurate method which is capable of dealing with uncertainties existing in the membership functions
  • Presents a systematic procedure of analysis and synthesis of the interval type-2 fuzzy systems with several system performance indexes
  • Provides numerous simulation results for various examples, which fill certain gaps in this area of reach and may serve as benchmark solutions for the readers
  • Extends the proposed method and corresponding formulations to static analysis
  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xix
  2. Introduction

    • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
    Pages 1-19
  3. Continuous-Time Systems

    1. Front Matter

      Pages 21-21
    2. Stabilization of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 23-36
    3. Output-Feedback Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 37-56
    4. Sampled-Data Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 57-72
    5. Output Tracking Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 73-89
    6. Switched Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 91-107
    7. Filter Design of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 109-121
    8. Fault Detection of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 123-137
    9. Model Reduction of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 139-152
  4. Discrete-Time Systems

    1. Front Matter

      Pages 153-153
    2. Optimal Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 155-175
    3. Fault-Tolerant Control of of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 177-199
    4. Output-Feedback Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 201-221
    5. Output Tracking Control of Interval Type-2 Fuzzy-Model-Based Systems

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 223-241
    6. Conclusion and Further Work

      • Hongyi Li, Ligang Wu, Hak-Keung Lam, Yabin Gao
      Pages 243-246
  5. Back Matter

    Pages 247-257

About this book

This book develops a set of reference methods capable of modeling uncertainties existing in membership functions, and analyzing and synthesizing the interval type-2 fuzzy systems with desired performances. It also provides numerous simulation results for various examples, which fill certain gaps in this area of research and may serve as benchmark solutions for the readers. 
Interval type-2 T-S fuzzy models provide a convenient and flexible method for analysis and synthesis of complex nonlinear systems with uncertainties.




Reviews

“In this book the authors present analysis and control methods for interval type – 2 (IT2) Takagi-Sugeno (TS) fuzzy systems. … Throughout the book, the theoretical results are illustrated by numerical examples. … It may serve as a useful textbook for researchers and graduate students working in the field of type-2 TS systems based control.” (Zsófia Lendek, Mathematical Reviews, April, 2017)



“This research monograph covers an important and timely topic of control of fuzzy model-based systems … . In summary, the book is a valuable addition to the collection of readings on fuzzy control engineering.” (Witold Pedrycz, zbMATH 1353.93003, 2017)

Authors and Affiliations

  • Bohai University, College of Engineering, Jinzhou, China

    Hongyi Li

  • Space Control and Inertial Tech. Res. Ce, Harbin Institute of Technology, Harbin, China

    Ligang Wu

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

    Hak-Keung Lam

  • Space Control and Inertial Tech. Res. Ce, Harbin Institute of Technology, China

    Yabin Gao

About the authors

Hongyi Li received B.S. and M.S. degrees in mathematics from Bohai University, Jinzhou, China, in 2006 and 2009, respectively, and the Ph.D. degree in intelligent control from the University of Portsmouth, Portsmouth, UK, in 2012. He is currently a Professor of the College of Engineering, Bohai University. He was a Research Associate with the Department of Mechanical Engineering, University of Hong Kong and Hong Kong Polytechnic University, from June 2010 to September 2010 and from September 2012 to December 2012, respectively.

His research interests include fuzzy control, robust control, and their applications. He is also an Associate Editor/Editorial Board member for several international journals, including Neurocomputing, Circuits, Systems, and Signal Processing, Shock and Vibration, etc.

Ligang Wu, Professor, Space Control and Inertial Technology Research Center, Harbin Institute of Technology. 

Hak-Keung Lam, Professor, Department of Informatics, King's College London. 

Yabin Gao, Student, Space Control and Inertial Technology Research Center, Harbin Institute of Technology. 

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