Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities

This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stab...

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Main Authors: Hongqian Lu, Chaoqun Guo, Yue Hu, Wuneng Zhou
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/6927528
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spelling doaj-4a3505051f2846a590b8a7bae6e25b832020-11-25T02:05:18ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/69275286927528Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre InequalitiesHongqian Lu0Chaoqun Guo1Yue Hu2Wuneng Zhou3School of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaCollege of Information Science and Technology, Donghua University, Shanghai 201620, ChinaThis paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.http://dx.doi.org/10.1155/2019/6927528
collection DOAJ
language English
format Article
sources DOAJ
author Hongqian Lu
Chaoqun Guo
Yue Hu
Wuneng Zhou
spellingShingle Hongqian Lu
Chaoqun Guo
Yue Hu
Wuneng Zhou
Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
Complexity
author_facet Hongqian Lu
Chaoqun Guo
Yue Hu
Wuneng Zhou
author_sort Hongqian Lu
title Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
title_short Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
title_full Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
title_fullStr Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
title_full_unstemmed Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities
title_sort event-triggered stability analysis of semi-markovian jump networked control system with actuator faults and time-varying delay via bessel–legendre inequalities
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description This paper discusses the stability of semi-Markovian jump networked control system containing time-varying delay and actuator faults. The system dynamic is optimized while the network resource is saved by introducing an improved static event-triggered mechanism. For deriving a less conservative stability criterion, the Bessel–Legendre inequalities approach is employed to the stability analysis and plays a major role. By constructing the enhanced Lyapunov–Krasovskii functional (LKF) relevant to the Legendre polynomials, a stability criterion with lower conservativeness indexed by N is derived, and the conservativeness will decrease as N increases. In addition, a controller is designed. To prove the validity of this paper, numerical examples are provided at the last.
url http://dx.doi.org/10.1155/2019/6927528
work_keys_str_mv AT hongqianlu eventtriggeredstabilityanalysisofsemimarkovianjumpnetworkedcontrolsystemwithactuatorfaultsandtimevaryingdelayviabessellegendreinequalities
AT chaoqunguo eventtriggeredstabilityanalysisofsemimarkovianjumpnetworkedcontrolsystemwithactuatorfaultsandtimevaryingdelayviabessellegendreinequalities
AT yuehu eventtriggeredstabilityanalysisofsemimarkovianjumpnetworkedcontrolsystemwithactuatorfaultsandtimevaryingdelayviabessellegendreinequalities
AT wunengzhou eventtriggeredstabilityanalysisofsemimarkovianjumpnetworkedcontrolsystemwithactuatorfaultsandtimevaryingdelayviabessellegendreinequalities
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