Generalization of stability criterion for Takagi–Sugeno continuous fuzzy model

The stability analysis of a generalized class of continuous fuzzy systems in terms of Lyapunov stability theory is presented. Firstly, the stability problem of fuzzy systems described by Takagi–Sugeno's continuous model is stated. Secondly, new stability conditions which guarantee the stability...

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Bibliographic Details
Published in:Fuzzy sets and systems 2002-08, Vol.129 (3), p.295-309
Main Authors: Matía, Fernando, Al-Hadithi, Basil M., Jiménez, Agustín
Format: Article
Language:English
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Summary:The stability analysis of a generalized class of continuous fuzzy systems in terms of Lyapunov stability theory is presented. Firstly, the stability problem of fuzzy systems described by Takagi–Sugeno's continuous model is stated. Secondly, new stability conditions which guarantee the stability of the fuzzy system are derived. The new stability conditions can be regarded as a general solution for Takagi–Sugeno fuzzy system, in which the offset term is not equal to zero. Finally, the suggested stability theorems are verified by some illustrative examples.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(01)00194-4