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H∞ Control for the Nonlinear Markov Networked Control System in the Presence of Data Packet Loss and DoS Attacks via Observer

Author

Listed:
  • Yanfeng Wang
  • Xiaoyue Sun
  • Youliang Tang
  • Yuqin Hou
  • Fanjun Lin
  • Peiliang Wang
  • Linfeng Chen

Abstract

The H∞ control issue for nonlinear Markov networked control systems in the presence of data packet loss and periodic denial‐of‐service (DoS) attacks is researched in this paper. First, two Bernoulli random variables are used to describe the packet loss between sensor to controller and controller to actuator. Considering the impact of DoS attacks, the probability of packet loss is set to be different during the attack sleeping interval and the attack active interval. Secondly, an observer is constructed on the controller side, and a comprehensive mathematical model including packet loss and DoS attacks is established. The sufficient conditions for the stochastic stability of the system are derived by the Lyapunov theory, and the design method of the controller and the minimum disturbance suppression performance index are also provided. Finally, a numerical example is utilized to reveal the applicability of the approach.

Suggested Citation

  • Yanfeng Wang & Xiaoyue Sun & Youliang Tang & Yuqin Hou & Fanjun Lin & Peiliang Wang & Linfeng Chen, 2023. "H∞ Control for the Nonlinear Markov Networked Control System in the Presence of Data Packet Loss and DoS Attacks via Observer," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:6064024
    DOI: 10.1155/2023/6064024
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    References listed on IDEAS

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    1. Song, Xiaona & Men, Yunzhe & Zhou, Jianping & Zhao, Junjie & Shen, Hao, 2017. "Event-triggered H∞ control for networked discrete-time Markov jump systems with repeated scalar nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 123-132.
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