Fuzzy-Rule-Independent Fault Detection Filter Design for Uncertain Stochastic T-S Fuzzy Time Delay Systems

This paper is concerned with the problem of robust H-infinity fault detection for a class of Ito 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-infinity-norm level for all admissible uncertainties. According to Lyapunov stability theory and Ito 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.