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

Author

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  • Hongqian Lu
  • Chaoqun Guo
  • Yue Hu
  • Wuneng Zhou

Abstract

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.

Suggested Citation

  • Hongqian Lu & Chaoqun Guo & Yue Hu & Wuneng Zhou, 2019. "Event-Triggered Stability Analysis of Semi-Markovian Jump Networked Control System with Actuator Faults and Time-Varying Delay via Bessel–Legendre Inequalities," Complexity, Hindawi, vol. 2019, pages 1-16, October.
    • Handle: RePEc:hin:complx:6927528
    DOI: 10.1155/2019/6927528
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    References listed on IDEAS

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    1. Zhaohui Chen & Qi Huang, 2016. "Globally exponential stability and stabilization of interconnected Markovian jump system with mode-dependent delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 14-31, January.
    2. Zhou, Qi & Yao, Deyin & Wang, Jiahui & Wu, Chengwei, 2016. "Robust control of uncertain semi-Markovian jump systems using sliding mode control method," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 72-87.
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