Robust \(H_\infty\) fault detection for networked Markov jump systems with random time-delay
type: Item
instance of: scholarly article
title: Robust \(H_\infty\) fault detection for networked Markov jump systems with random time-delay
zbMATH Open document ID: 1426.93325
DOI: 10.1155/2017/2608140
author: Yan-feng Wang
author: Zhe Zhou
author: Zu-xin Li
author: Peiliang Wang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper investigates the problem of robust \(H_\infty\) fault detection for networked Markov jump systems with random time-delay which is introduced by the network. The random time-delay is modeled as a Markov process, and the networked Markov jump systems are modeled as control systems containing two Markov chains. The delay-dependent fault detection filter is constructed. Furthermore, the sufficient and necessary conditions which make the closed-loop system stochastically stable and achieve prescribed \(H_\infty\) performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal \(H_\infty\) attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6971884
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2608140
OpenAlex ID: W2753467040
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description: scientific article; zbMATH DE number 6971884