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Asynchronous admissibility and H ∞ fault detection for delayed implicit Markovian switching systems under hidden Markovian model mechanism
Author(s) -
Zhuang Guangming,
Xia Jianwei,
Sun Wei,
Feng June,
Ma Qian
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5681
Subject(s) - asynchronous communication , computer science , control theory (sociology) , fault detection and isolation , markov process , filter (signal processing) , weighting , mathematics , artificial intelligence , medicine , computer network , statistics , control (management) , actuator , computer vision , radiology
This article is intended to deal with the problem of asynchronous admissibility andH ∞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 theH ∞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 asynchronousH ∞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.