Fault Detection for Nonlinear Discrete-Time Switched Systems With Persistent Dwell Time

In this paper, the problem of fault detection filter design for a class of nonlinear switched systems is investigated. First, the nonlinear switched system is transferred into a Takagi–Sugeno fuzzy switched model by using fuzzy <sc>if-then</sc> rules. Then, based on the persistent dwell-time switching signal and the quasi-time-dependent Lyapunov function technique, an efficient condition of the performance analysis result is obtained. Based on this, a fuzzy-parameter-dependent fault detection filter is designed such that the resulting error system is globally uniformly asymptotically stable with a nonweighted <inline-formula><tex-math notation="LaTeX"> $H_\infty$</tex-math></inline-formula> performance index. Finally, simulation results are provided to show the effectiveness of the proposed technique.

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