Sampled-data resilient control for stochastic nonlinear CPSs under DoS attacks

Abstract

This paper studies the sampled-data resilient control for stochastic nonlinear cyber-physical systems (CPSs) under denial-of-service (DoS) attacks. First, under the sampled-data control scheme, DoS attacks are described and under-considered in the stochastic nonlinear CPSs. Secondly, according to the influence of DoS attack, a new switching stochastic nonlinear closed-loop system is established under a full-state feedback controller. Then, by using the piecewise Lyapunov functional method, sufficient conditions are provided to ensure the mean square exponential stability of the obtained closed-loop system. In addition, some criterions are given to design controller parameters. Finally, an example is given to illustrate the effectiveness of our results.

Keywords:

• Stochastic nonlinear cyber-physical systems (CPSs)
• sampled-data control
• denial-of-service (DoS) attacks
• resilient control

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data sharing is not applicable to this article as no new data were created or analysed in this study.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 62073144] and the Natural Science Foundation of Guangdong Province for Distinguished Young Scholars [grant number 2020A1515010441].

Notes on contributors

Xiaohua Liu

Xiaohua Liu received the Ph.D. degree from the School of Automation Science and Engineering, South China University of Technology, Guangzhou. Her current research interests include: stability of stochastic time-delay systems, hybrid nonlinear stochastic systems, networked control systems and multi-agent systems.

Feiqi Deng

Feiqi Deng received the Ph.D. degree in control theory and control engineering from South China University of Technology, Guangzhou, in 1997. Since October 1999, he has been a Professor with the South China University of Technology and the Director of the Systems Engineering Institute. He is currently a Member of Technical Committee on Control Theory (TCCT), Chinese Association of Automation, and now he is serving as the chair of the IEEE SMC Guangzhou Chapter and the Director of Sub-committee on Stochastic Systems Control of TCCT, a Vice Editor-in-Chief of Journal of South China University of Technology, and members of the editorial boards of the following journals: Control Theory and Applications, Journal of Systems Engineering and Electronics, and Journal of Systems Engineering, etc. His main research interests include stability, stabilization, and robust control theory of complex systems, including time-delay systems, nonlinear systems and stochastic systems. He is now a senior member of the IEEE.

Pengyu Zeng

Pengyu Zeng received the Ph.D. degree from the School of Automation Science and Engineering, South China University of Technology, Guangzhou. His current research interests include stochastic control systems, switched control systems and event-triggered control.

Xiaobin Gao

Xiaobin Gao received the M.S. degree in Control Science and Engineering from Guangdong University of Technology, Guangzhou, China, in 2019, where he is currently pursuing the Ph.D. degree in Control Science and Engineering from South China University of Technology, Guangzhou, China. His current research interests include robust control and filtering, stochastic hybrid systems, and networked control systems.

Xueyan Zhao

Xueyan Zhao received the Ph.D degree in systems engineering from the South China University of Technology, Guangzhou, China, in 2014. She is currently an Associate Professor of School of Automation Science and Engineering, South China University of Technology. She was a Visiting Scholar with The University of New castle, Callaghan NSW, Australia in 2018. Her research interests are stability and stabilization of stochastic systems and nonlinear systems with time delays. Dr. Zhao is currently a Committee Member of Youth Working Committee of Chinese Association of Automation, and is the Secretary General of the Subcommittee on Stochastic Systems Control of Technical Committee on Control Theory (TCCT). She was the recipient of the Excellent Doctoral Thesis Award of Chinese Association of Automation in 2016.