Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks

• Published in: Applied mathematics and computation Vol. 405; p. 126265
• Main Authors: Zeng, Pengyu, Deng, Feiqi, Gao, Xiaobin, Liu, Xiaohua
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.09.2021
• Subjects: Denial-of-Service (DoS) attacks; Networked stochastic systems; Random deception attacks; Reliable [formula omitted] control; Networked stochastic systems; Denial-of-Service (DoS) attacks; Reliable H∞ control; Random deception attacks
• ISSN: 0096-3003
• DOI: 10.1016/j.amc.2021.126265

•The multiple attacks including DoS attacks and random deception attacks are introduce into sampled data H∞ control of networked stochastic systems. A new switched stochastic time-delay closed-loop system is developed to characterize the impact of multiple attacks.•Via piecewise Lyapunov-Krasovskii functional analysis theory, the system performances in the absence of attacks and in the presence of attacks are respectively discussed, and sufficient conditions are provided for guaranteeing that the resulting switched stochastic time-delay closed-loop system is mean-square asymptotically stable with an H∞ performance.•According to resilient H∞ performance conditions, the explicit expression of controller gain is presented by using linear matrix inequality (LMI) technique. In this paper, the sampled-data resilient H∞ control problem is concerned for networked stochastic systems with multiple attacks. Multiple attacks consisting of denial-of-service (DoS) attacks and random deception attacks are first described. Then on the basis of these attacks, a new switched stochastic time-delay closed-loop system is proposed under sampled-data and full state feedback controller. By utilizing piecewise Lyapunov-Krasovskii functional analysis theory, some new criterions are derived to guarantee the mean-square asymptotical stability with an H∞ performance of the resulting closed-loop system. The explicit expression of controller gain is subsequently presented. Finally, two examples are given to show the feasibility of the developed control approach.