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Non-fragile hybrid-triggered control of networked positive switched systems with cyber attacks

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  • Wu, Yanqi
  • Zhang, Junfeng
  • Lin, Peng

Abstract

Faults of components may deteriorate the system performances and stochastic cyber attacks may destroy the state measurements of systems and obstruct control commands. This paper proposes a non-fragile hybrid-triggered control design for networked positive switched systems to deal with the faults and cyber attacks. Bernoulli distribution is employed for describing cyber attacks. Based on the property of cyber attacks, a hybrid-triggered strategy is introduced. The corresponding hybrid-triggered mechanism consists of time- and event-triggered schemes. The event-triggering condition is established in a linear form. By combining a matrix decomposition approach and switched co-positive Lyapunov functions, a non-fragile hybrid-triggered controller is designed for positive switched systems with actuator faults. Then, a stochastic hybrid control strategy is used for the systems subject to stochastic cyber attacks. Under the hybrid-triggered controller, the systems can resist the risk from the attacks and actuator faults. Meanwhile, the risk of communication congestion from the limited bandwidth is reduced by virtue of the hybrid-triggered control strategy. All the presented conditions can be solved via linear programming. Finally, two examples are given to verify the effectiveness of the designed controller.

Suggested Citation

  • Wu, Yanqi & Zhang, Junfeng & Lin, Peng, 2022. "Non-fragile hybrid-triggered control of networked positive switched systems with cyber attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    • Handle: RePEc:eee:phsmap:v:588:y:2022:i:c:s037843712100844x
    DOI: 10.1016/j.physa.2021.126571
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    References listed on IDEAS

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    1. J.Y. Keller & K. Chabir & D. Sauter, 2016. "Input reconstruction for networked control systems subject to deception attacks and data losses on control signals," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 814-820, March.
    2. Cai, Xiao & Zhong, Shouming & Wang, Jun & Shi, Kaibo, 2020. "Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts," Applied Mathematics and Computation, Elsevier, vol. 385(C).
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