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Resilient hybrid-triggered control for networked stochastic systems under denial-of-service attacks. (English) Zbl 1513.93056

Summary: This paper investigates the stabilization problem for stochastic networked control systems under periodic denial-of-service (DoS) jamming attacks. First, the resilient hybrid-triggered communication scheme is developed to reduce the network transmission data and improve the utilization efficiency, where a Bernoulli distribution is used to characterize the switching protocol between time-triggered scheme and event-triggered scheme. Then, a resilient hybrid-driven control protocol is designed, and a new switched stochastic system is constructed. Sufficient conditions of the mean-square exponential stability are derived for the underlying system under DoS attacks. Furthermore, a co-design scheme of the feedback gain and the hybrid-triggering parameter is obtained by solving linear matrix inequalities. Finally, a satellite control system is employed to illustrate the virtue and applicability of the proposed approach.

MSC:

93E15 Stochastic stability in control theory
93D23 Exponential stability
93B70 Networked control
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C65 Discrete event control/observation systems
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