Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays

The fault detection problem for a class of wireless networked control systems is investigated. A Bernoulli distributed parameter is introduced in modeling the system dynamics; moreover, multiple time delays arising in the communication are taken into account. The detection observer for tracking the...

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Main Authors: Lina Rong, Chengda Yu, Pengfei Guo, Hui Gao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/605214
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author Lina Rong
Chengda Yu
Pengfei Guo
Hui Gao
author_facet Lina Rong
Chengda Yu
Pengfei Guo
Hui Gao
author_sort Lina Rong
collection DOAJ
description The fault detection problem for a class of wireless networked control systems is investigated. A Bernoulli distributed parameter is introduced in modeling the system dynamics; moreover, multiple time delays arising in the communication are taken into account. The detection observer for tracking the system states is designed, which generates both the state errors and the output errors. By adopting the linear matrix inequality method, a sufficient condition for the stability of wireless networked control systems with stochastic uncertainties and multiple time delays is proposed, and the gain of the fault detection observer is obtained. Finally, an illustrated example is provided to show that the observer designed in this paper tracks the system states well when there is no fault in the systems; however, when fault happens, the observer residual signal rises rapidly and the fault can be quickly detected, which demonstrate the effectiveness of the theoretical results.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-a953556e86dc4681abafe6588c7df41e2025-08-20T03:39:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/605214605214Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time DelaysLina Rong0Chengda Yu1Pengfei Guo2Hui Gao3School of Automation, Nanjing University of Posts and Telecommunication, Nanjing, Jiangsu 210023, ChinaThe Chinese People’s Liberation Army of 63961 Troops, Haidian District, Beijing 100012, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaSchool of Automation, Nanjing University of Posts and Telecommunication, Nanjing, Jiangsu 210023, ChinaThe fault detection problem for a class of wireless networked control systems is investigated. A Bernoulli distributed parameter is introduced in modeling the system dynamics; moreover, multiple time delays arising in the communication are taken into account. The detection observer for tracking the system states is designed, which generates both the state errors and the output errors. By adopting the linear matrix inequality method, a sufficient condition for the stability of wireless networked control systems with stochastic uncertainties and multiple time delays is proposed, and the gain of the fault detection observer is obtained. Finally, an illustrated example is provided to show that the observer designed in this paper tracks the system states well when there is no fault in the systems; however, when fault happens, the observer residual signal rises rapidly and the fault can be quickly detected, which demonstrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2014/605214
spellingShingle Lina Rong
Chengda Yu
Pengfei Guo
Hui Gao
Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
Abstract and Applied Analysis
title Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
title_full Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
title_fullStr Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
title_full_unstemmed Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
title_short Fault Detection for Wireless Networked Control Systems with Stochastic Uncertainties and Multiple Time Delays
title_sort fault detection for wireless networked control systems with stochastic uncertainties and multiple time delays
url http://dx.doi.org/10.1155/2014/605214
work_keys_str_mv AT linarong faultdetectionforwirelessnetworkedcontrolsystemswithstochasticuncertaintiesandmultipletimedelays
AT chengdayu faultdetectionforwirelessnetworkedcontrolsystemswithstochasticuncertaintiesandmultipletimedelays
AT pengfeiguo faultdetectionforwirelessnetworkedcontrolsystemswithstochasticuncertaintiesandmultipletimedelays
AT huigao faultdetectionforwirelessnetworkedcontrolsystemswithstochasticuncertaintiesandmultipletimedelays