Event-based sliding mode control for discrete-time systems under false data injection attacks

This paper investigates sliding mode control via an event-triggered strategy for discrete-time networked systems under actuator attacks. First, a discrete-time network control model under actuator attack is established. To save communication resources on the limited bandwidth controller area network (CAN) bus, an event-triggered transmission scheme is introduced. Considering network-induced delays, the established closed-loop system is transformed into a time-delay system. Subsequently, a new event-triggered sliding mode surface is constructed. Additionally, to counteract the influence of the actuator attack and ensure better sliding mode accessibility, a sliding mode control law is constructed. The stabilization criteria under the sliding mode control law are well derived using the Lyapunov-Krasovskii method and some linear inequality matrix operations. Finally, the effectiveness of the proposed method is verified through three numerical examples.