Event-triggered adaptive control for multiple high-speed trains with deception attacks in bottleneck sections

This paper investigates an event-triggered adaptive control strategy for multiple high-speed trains (MHSTs) with deception attacks in bottleneck sections. Firstly, the high-speed trains in the bottleneck section are mapped onto the same railway line. Then, the effect of deception attacks and the state information transmitted from leader train subject to deception attacks are introduced. In order to maintain safety operation, the position and speed limitations of high-speed trains are established as state constraints. An event-triggered adaptive control strategy consisting of adaptive controller, adaption laws, and event-triggered condition is designed to realize the cooperative control for MHSTs subject to deception attacks, state and input constraints. The stability and string stability of the proposed multi-train system is proved by applying the Lyapunov function method. Finally, a simulation example is given to show the effectiveness of the proposed method.