On stability and stabilization of singular uncertain Takagi–Sugeno fuzzy systems

This paper deals with the problem of robust stability and robust stabilization for a class of continuous-time singular Takagi–Sugeno fuzzy systems. Sufficient conditions on stability and stabilization are proposed in terms of strict LMI (Linear Matrix Inequality) for uncertain T–S fuzzy models. In o...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2014-03, Vol.351 (3), p.1453-1463
Main Authors: Chadli, M., Karimi, H.R., Shi, P.
Format: Article
Language:English
Subjects:
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Lyapunov functions
Mathematical models
Stability
Stabilization
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Summary:This paper deals with the problem of robust stability and robust stabilization for a class of continuous-time singular Takagi–Sugeno fuzzy systems. Sufficient conditions on stability and stabilization are proposed in terms of strict LMI (Linear Matrix Inequality) for uncertain T–S fuzzy models. In order to reduce the conservatism of results developed using quadratic method, an approach based on non-quadratic Lyapunov functions and S-procedure is proposed. Illustrative examples are given to show the effectiveness of the given results.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2013.11.008