Resilient and event-triggered control of singular Markov jump systems against cyber attacks

Jun Li, Yuhan Suo, Senchun Chai, Yihao Xu and Yuanqing Xia

International Journal of Systems Science, 2024, vol. 55, issue 2, 222-236

Abstract: This paper is concerned with the $ H_{\infty } $ H∞ resilient and event-triggered control of singular Markov jump systems against deception attacks. The deception attacks are modelled as a random bounded signal which is governed by a Bernoulli distributed random variable. The event-triggered scheme is adopted to achieve a trade-off between system performance and network resources. Based on the technique of stochastic Lyapunov–Krasovskii functionals and linear matrix inequalities, efficient criteria are developed such that the closed-loop system is stochastically admissible with a certain $ H_{\infty } $ H∞ performance under deception attacks. Then, the co-design of resilient controller gains and event-triggered rules is provided in terms of a group of feasible LMIs. Finally, two examples are employed to verify the validity of our design.

Date: 2024
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DOI: 10.1080/00207721.2023.2269293

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