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Event-triggered H∞ Control for Switched Systems Under Multiple Attacks

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  • Control Theory and Applications
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Abstract

This article investigates the event-triggered H∞ control for networked switched systems under multiple attacks and transmission delay. A novel model of multiple attacks is constructed by considering stochastic false data injection attack and periodic denial-of-service (DoS) attack. The event-triggered strategy is proposed by using the mode information of switched system and periodicity of DoS attack. Then, sufficient conditions are obtained to ensure mean-square exponential stability and H∞ performance of the closed-loop switched system. Furthermore, the controller gains and event-triggered parameters of subsystems are derived. Finally, a numerical example is given to verify the effectiveness and feasibility of the results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Ying Xu, Xiaowu Mu & Guifang Cheng

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  1. Ying Xu
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  2. Xiaowu Mu
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  3. Guifang Cheng
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Corresponding author

Correspondence to Guifang Cheng.

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Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relations that could have appeared to influence the work reported in this paper.

Ying Xu received her B.S. degree from the School of Mathematics and information Science, Henan Normal University, in 2015. Now, she is a postgraduate of the School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China. Her current research interests include time-delay systems and switched systems.

Xiaowu Mu received his B.S., M.S., and Ph.D. degrees from the Department of Mathematics, Peking University, in 1983, 1988, and 1991, respectively. Currently, he is a Professor in Zhengzhou University, Zhengzhou, China. His current research interests include stochastic systems, hybrid systems, and networked control systems.

Guifang Cheng received her M.S. and Ph.D. degrees from the School of Mathematics and Statistics, Zhengzhou University, in 2004 and 2007, respectively. She is currently an associate professor in Zhengzhou University, Zhengzhou, China. Her current research interests include time-delay systems and nonlinear systems with Markovian or semi-Markovian jump signals.

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported by the National Natural Science Foundation of China [grant number 11971444].

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Xu, Y., Mu, X. & Cheng, G. Event-triggered H∞ Control for Switched Systems Under Multiple Attacks. Int. J. Control Autom. Syst. 21, 1089–1097 (2023). https://doi.org/10.1007/s12555-021-0808-3

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  • DOI: https://doi.org/10.1007/s12555-021-0808-3

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