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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 2608140, 9 pages
Research Article

Robust Fault Detection for Networked Markov Jump Systems with Random Time-Delay

School of Engineering, Huzhou University, Huzhou, Zhejiang 313000, China

Correspondence should be addressed to Yanfeng Wang

Received 5 April 2017; Revised 21 June 2017; Accepted 5 July 2017; Published 30 August 2017

Academic Editor: Xinggang Yan

Copyright © 2017 Yanfeng Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates the problem of robust 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 performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.