Fuzzy-rule-independent fault detection filter design for uncertain stochastic T-S fuzzy time delay systems

Abstract

This paper is concerned with the problem of robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fault detection for a class of Itô stochastic T-S fuzzy systems with time-varying delays and parameter uncertainties. We aim to design fuzzy-rule-independent fault detection filter, which insures the fault detection system is not only mean square asymptotically stable, but also satisfies a prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> -norm level for all admissible uncertainties. According to Lyapunov stability theory and Itô formula, some novel delay-dependent sufficient conditions in terms of linear matrix inequality (LMI) are proposed to guarantee the existence of the desired fault detection filter. Weighted fault signal approach is used to improve the performance of the fault detection system and a simulation example is employed to demonstrate the effectiveness of the proposed approach.