Generalization of stability criterion for Takagi--Sugeno continuous fuzzy model

Authors:
Fernando Matía;Basil M. Al-Hadithi;Agustín Jiménez
Affiliations:
DISAM -- Universidad Politécnica de Madrid, ETSI Industriales, José Gutiérrez Abascal 2, E-28006 Madrid, Spain;DISAM -- Universidad Politécnica de Madrid, ETSI Industriales, José Gutiérrez Abascal 2, E-28006 Madrid, Spain;DISAM -- Universidad Politécnica de Madrid, ETSI Industriales, José Gutiérrez Abascal 2, E-28006 Madrid, Spain
Venue:
Fuzzy Sets and Systems - Control and applications
Year:
2002

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Abstract

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.