Delay-dependent LMI conditions for stability and stabilization of T–S fuzzy systems with bounded time-delay

This paper studies the stability and stabilization problems for time-delay nonlinear systems through Takagi–Sugeno (T–S) fuzzy model approach. The time delays are assumed to be bounded but perhaps non-smooth. Delay-dependent conditions are presented in terms of LMIs. Illustrative examples are given...

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Bibliographic Details
Published in:Fuzzy sets and systems 2006-05, Vol.157 (9), p.1229-1247
Main Authors: Lin, Chong, Wang, Qing-Guo, Heng Lee, Tong
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Control theory. Systems
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Fuzzy control
Information, signal and communications theory
Mathematical methods
Miscellaneous
Stability
Stabilization
System theory
Telecommunications and information theory
Theoretical computing
Time-delay
T–S fuzzy model
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Summary:This paper studies the stability and stabilization problems for time-delay nonlinear systems through Takagi–Sugeno (T–S) fuzzy model approach. The time delays are assumed to be bounded but perhaps non-smooth. Delay-dependent conditions are presented in terms of LMIs. Illustrative examples are given to show the effectiveness and merits of the present results.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2005.10.001