1. Dynamic-Event-Based Fault Detection for Markov Jump Systems Under Hidden-Markov Mode Observation
- Author
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Xiongbo Wan and Xiaoxiao Xu
- Subjects
0209 industrial biotechnology ,Computer science ,Event based ,Mode (statistics) ,020206 networking & telecommunications ,02 engineering and technology ,Fault detection and isolation ,Human-Computer Interaction ,020901 industrial engineering & automation ,Artificial Intelligence ,0202 electrical engineering, electronic engineering, information engineering ,Computer Vision and Pattern Recognition ,Hidden Markov model ,Algorithm ,Markov jump - Abstract
The fault detection (FD) problem is investigated for event-triggered discrete-time Markov jump systems (MJSs) with hidden-Markov mode observation. A dynamic-event-triggered mechanism, which includes some existing ones as special cases, is proposed to reduce unnecessary data transmissions to save network resources. Mode observation of the MJS by the FD filter (FDF) is governed by a hidden Markov process. By constructing a Markov-mode-dependent Lyapunov function, a sufficient condition in terms of linear matrix inequalities (LMIs) is obtained under which the filtering error system of the FD is stochastically stable with a prescribed H∞ performance index. The parameters of the FDF are explicitly given when these LMIs have feasible solutions. The effectiveness of the FD method is demonstrated by two numerical examples.
- Published
- 2020
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