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Research Article Open access CC BY 4.0

A New Approach to H∞ Filtering for Switched T-S Fuzzy Systems with Interval Time Varying Delays and Parameter Uncertainties

Ahmida Fatima, El Houssaine Tissir

Journal of Advances in Mathematics and Computer Science · pp. 215–232 · Published 3 Jan 2015

10.9734/BJMCS/2015/13916

Abstract

This paper deals with the problem of delay-dependent robust H∞ filtering for switched T-S fuzzy systems with interval time-varying delays and parameter uncertainties. This represents a novelty in this research domain since to the best of our knowledge there is no paper, in the literature, dealing with the delay-dependent robust H∞ filtering for switched T-S fuzzy systems time-varying delays. Our attention is focused on the design of a full order filter that guarantees the filtering error system to be robustly stable with a prescribed H∞ performance. By choosing a new Lyapunov function and using the convexity property, new sufficient conditions are derived for stability robustness of the filtering error systems and are expressed in terms of linear matrix inequalities. Finally, three examples are provided to demonstrate the effectiveness and the superiority of the proposed design methods.

T-S fuzzy systems switched systems interval time-delay systems H∞ filter linear matrix inequality (LMI).

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