LAUSR

This article is intended to deal with the problem of asynchronous admissibility and H∞ fault detection (FD) for time‐varying delay implicit Markovian switching systems (IMSSs) under hidden Markovian model (HMM) mechanism. The fundamental purpose is to design asynchronous FD filter such that the implicit Markovian switching residual system is stochastically admissible (including regular, impulse‐free, and stochastically stable) and satisfies the H∞ performance index. By constructing mode‐dependent and delay‐dependent Lyapunov–Krasovskii functional, improved conditions of asynchronous FD filtering are proposed in terms of linear matrix inequalities. The retarded mode‐dependent time‐varying delay is considered in this work when coping with admissibility of IMSSs, asynchronous FD for IMSSs is realized by virtue of designing asynchronous H∞ filter under HMM mechanism and fault weighting strategy. Simulation examples including an oil catalytic cracking process with multicycle incipient fault are provided to corroborate the validity and usefulness of the addressed asynchronous FD technique.