Studies in Systems, Decision and Control

Advanced Takagi‒Sugeno Fuzzy Systems

Delay and Saturation

Authors: Benzaouia, Abdellah, El Hajjaji, Ahmed

  • Broadens the reader’s understanding of a widely-used type of fuzzy control
  • Explains control design for positive, saturating and 2-dimensional systems
  • Treats practical effects of relevance to many chemical, physical and biological processes
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About this book

This monograph puts the reader in touch with a decade’s worth of new developments in the field of fuzzy control specifically those of the popular Takagi-Sugeno (T-S) type. New techniques for stabilizing control analysis and design based on multiple Lyapunov functions and linear matrix inequalities (LMIs), are proposed. All the results are illustrated with numerical examples and figures and a rich bibliography is provided for further investigation.

Control saturations are taken into account within the fuzzy model. The concept of positive invariance is used to obtain sufficient asymptotic stability conditions for the fuzzy system with constrained control inside a subset of the state space.

The authors also consider the non-negativity of the states. This is of practical importance in many chemical, physical and biological processes that involve quantities that have intrinsically constant and non-negative sign: concentration of substances, level of liquids, etc. Results for linear systems are then extended to linear systems with delay. It is shown that LMI techniques can usually handle the new constraint of non-negativity of the states when care is taken to use an adequate Lyapunov function. From these foundations, the following further problems are also treated:

·        asymptotic stabilization of uncertain T-S fuzzy systems with time-varying delay, focusing on delay-dependent stabilization synthesis based on parallel distributed controller (PDC);

·        asymptotic stabilization of uncertain T-S fuzzy systems with multiple delays, focusing on delay-dependent stabilization synthesis based on PDC with results obtained under linear programming;

·        design of delay-independent, observer-based, H-infinity control for T–S fuzzy systems with time varying delay; and

·        asymptotic stabilization of 2-D T–S fuzzy systems.

Advanced Takagi–Sugeno Fuzzy Systems provides researchers and graduate students interested in fuzzy control systems with further approaches based LMI and LP.

Reviews

“The monograph is of tangible value to all those who are interested in analysis and synthesis of control and stabilization algorithms realized for fuzzy rule-based models. The presentation of the material is clear, up-to-the point whereas the flow of the main ideas is coherent and logically organized. … All in all, the book could be a useful material to the readers engaged in the modem trends of control and fuzzy control, in particular.” (Witold Pedrycz, zbMATH 1323.93001, 2015)


Table of contents (9 chapters)

  • Introduction to Takagi–Sugeno Fuzzy Systems

    Benzaouia, Abdellah (et al.)

    Pages 1-40

  • Stabilization of T–S Fuzzy Systems with Constrained Controls

    Benzaouia, Abdellah (et al.)

    Pages 41-83

  • Static Output Feedback Control for Fuzzy Systems

    Benzaouia, Abdellah (et al.)

    Pages 85-110

  • Stabilization of Discrete-Time T–S Fuzzy Positive Systems

    Benzaouia, Abdellah (et al.)

    Pages 111-125

  • Stabilization of Delayed T–S Fuzzy Positive Systems

    Benzaouia, Abdellah (et al.)

    Pages 127-149

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-05639-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-05638-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-319-38155-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advanced Takagi‒Sugeno Fuzzy Systems
Book Subtitle
Delay and Saturation
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
8
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05639-5
DOI
10.1007/978-3-319-05639-5
Hardcover ISBN
978-3-319-05638-8
Softcover ISBN
978-3-319-38155-8
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XXXII, 294
Number of Illustrations and Tables
5 b/w illustrations, 66 illustrations in colour
Topics