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Networked control systems with probabilistic time-varying delay based on event-triggered non-fragile H∞ control

Author

Listed:
  • Wang, Yan
  • Zhao, Zhiwei
  • Ge, Chao
  • Wang, Lei
  • Liu, Yajuan

Abstract

The non-fragile H∞ problem for networked control systems with probabilistic time-varying delay, stochastic nonlinear, controller gain fluctuation and adaptive event-triggered mechanism is studied. The random interval delay, nonlinear fluctuation and gain fluctuation of the controller all obey a certain uncorrelated Bernoulli distribution white noise sequence. An improved time continuous delay system model for networked control systems is constructed by using input delay method. A two-sided closed-loop Lyapunov–Krasovskii functional is constructed considering the sawtooth structure of artificial time delay, and the asymptotically stable conditions of closed-loop system with little conservatism are obtained. A non-fragile H∞ control strategy based on adaptive event-triggered is proposed and the co-design method for gain matrix of the non-fragile controller and event-triggered matrix is obtained. Finally, the effectiveness of the proposed method is verified by two simulation examples.

Suggested Citation

  • Wang, Yan & Zhao, Zhiwei & Ge, Chao & Wang, Lei & Liu, Yajuan, 2022. "Networked control systems with probabilistic time-varying delay based on event-triggered non-fragile H∞ control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 206-222.
    • Handle: RePEc:eee:matcom:v:202:y:2022:i:c:p:206-222
    DOI: 10.1016/j.matcom.2022.05.028
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    References listed on IDEAS

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    1. Ge, Chao & Wang, Bingfang & Wei, Xian & Liu, Yajuan, 2017. "Exponential synchronization of a class of neural networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 150-161.
    2. Ge, Chao & Liu, Zengshuai & Wang, Lei & Liu, Yajuan, 2022. "Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control," Applied Mathematics and Computation, Elsevier, vol. 424(C).
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