New delay-dependent stability analysis and synthesis of T-S fuzzy systems with time-varying delay

In this paper, a new method is proposed for stability analysis and synthesis of Takagi–Sugeno (T–S) fuzzy systems with time‐varying delay. Based on a new Lyapunov–Krasovskii functional (LKF), some less conservative delay‐dependent stability criteria are established. In the derivation process, some a...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 20; no. 3; pp. 313 - 322
Main Authors Yang, Zhong, Yang, Yu-Pu
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 01.02.2010
Subjects
Criteria
Delay
delay-dependent
Derivatives
free-weighting matrices
fuzzy control
Fuzzy systems
linear matrix inequality (LMI)
Mathematical models
Stability
Stability analysis
Synthesis
time-varying delay
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Summary:In this paper, a new method is proposed for stability analysis and synthesis of Takagi–Sugeno (T–S) fuzzy systems with time‐varying delay. Based on a new Lyapunov–Krasovskii functional (LKF), some less conservative delay‐dependent stability criteria are established. In the derivation process, some additional useful terms, ignored in previous methods, are considered and new free‐weighting matrices are introduced to estimate the upper bound of the derivative of LKF for T–S fuzzy systems with time‐varying delay. The proposed stability criterion and stabilization condition are represented in terms of linear matrix inequalities. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-2W1DB0WL-Q
istex:BF6F37E52D17F366E9E7D470EC2AF5A37BC7C3B2
ArticleID:RNC1431
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1049-8923
1099-1239
1099-1239
DOI:10.1002/rnc.1431