Guaranteed cost robust filter for time delayed T-S fuzzy systems with uncertain nonlinearities

Authors:
Fan Zhou;Li Xie;Yaowu Chen
Affiliations:
Department of Instrument Sciences and Engineering, Zhejiang University, Hangzhou, P.R.China;Department of Information and Electronic Engineering, Zhejiang University, Hangzhou, P.R.China;Department of Instrument Sciences and Engineering, Zhejiang University, Hangzhou, P.R.China
Venue:
LSMS'07 Proceedings of the Life system modeling and simulation 2007 international conference on Bio-Inspired computational intelligence and applications
Year:
2007

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Abstract

The problem of guaranteed cost robust fuzzy filtering design for a class of time delayed systems with uncertain nonlinearities have been investigated. The nonlinear uncertain time delayed system is represented by state-space Takagi-Sugeno fuzzy model. In terms of linear matrix inequalities (LMIs), the stability of the filter error systems are analyzed by basis-dependent Lyapunov function approach. Then the sufficient conditions for the existence of the fuzzy filter are given in the form of convex optimization. The optimal upper bound of the guaranteed cost value of the filtering error systems can be solved when the LMIs are feasible.