New delay-dependent stability criteria for T–S fuzzy systems with time-varying delay

This paper is concerned with the stability problem of uncertain T–S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative...

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Bibliographic Details
Published in:Fuzzy sets and systems 2010-08, Vol.161 (15), p.2033-2042
Main Authors: Liu, Fang, Wu, Min, He, Yong, Yokoyama, Ryuichi
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Criteria
Delay
Delay-dependent stability
Derivatives
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Fuzzy set theory
Fuzzy systems
Information, signal and communications theory
Linear matrix inequalities (LMIs)
Lyapunov–Krasovskii functional
Mathematical methods
Mathematical models
Miscellaneous
Stability
Telecommunications and information theory
Theoretical computing
Time-varying delay
T–S fuzzy systems
Upper bounds
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Summary:This paper is concerned with the stability problem of uncertain T–S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov–Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2009.12.014