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

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

This paper investigates the problem of robust H∞ 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 Mark...

Full description

Bibliographic Details
Main Authors: Yanfeng Wang, Zuxin Li, Peiliang Wang, Zhe Zhou
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/2608140
id doaj-fb9dfaa9277444e298165c8bffb800d1
record_format Article
spelling doaj-fb9dfaa9277444e298165c8bffb800d12020-11-24T22:38:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/26081402608140Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-DelayYanfeng Wang0Zuxin Li1Peiliang Wang2Zhe Zhou3School of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaSchool of Engineering, Huzhou University, Huzhou, Zhejiang 313000, ChinaThis paper investigates the problem of robust H∞ 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∞ performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal H∞ attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2017/2608140
collection DOAJ
language English
format Article
sources DOAJ
author Yanfeng Wang
Zuxin Li
Peiliang Wang
Zhe Zhou
spellingShingle Yanfeng Wang
Zuxin Li
Peiliang Wang
Zhe Zhou
Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
Mathematical Problems in Engineering
author_facet Yanfeng Wang
Zuxin Li
Peiliang Wang
Zhe Zhou
author_sort Yanfeng Wang
title Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
title_short Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
title_full Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
title_fullStr Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
title_full_unstemmed Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time-Delay
title_sort robust h∞ fault detection for networked markov jump systems with random time-delay
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description This paper investigates the problem of robust H∞ 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∞ performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal H∞ attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2017/2608140
work_keys_str_mv AT yanfengwang robusthfaultdetectionfornetworkedmarkovjumpsystemswithrandomtimedelay
AT zuxinli robusthfaultdetectionfornetworkedmarkovjumpsystemswithrandomtimedelay
AT peiliangwang robusthfaultdetectionfornetworkedmarkovjumpsystemswithrandomtimedelay
AT zhezhou robusthfaultdetectionfornetworkedmarkovjumpsystemswithrandomtimedelay
_version_ 1725711895920377856

Similar Items