Sliding mode security control under periodic dual event-triggered strategy

Abstract

This work considers the security control problem of the networked control system under stochastic denial-of-service (DoS) attacks via sliding mode control (SMC) technique. A practical and interesting issue for the controlled system subject to cyber attacks is how to achieve the desired performance (including the reachability of the specified sliding surface and the boundedness of the closed-loop system) while using transmission resources as little as possible. To this end, this work proposes a novel periodic dual event-triggered mechanism (ETM) based on both the system state and the sliding variable. The last successfully transmitted system state and sliding variable are used to compensate for the attacked ones, meanwhile, the compensated signals are utilized to design the sliding mode controller and dual event-triggered conditions. Besides, both the reachability of the specified sliding surface and the boundedness of the closed-loop system are analyzed, and a majorization algorithm is proposed for solving the obtained conditions. Finally, simulation results are given for illustrating the proposed control law with the designed periodic dual ETM subject to the attacks.