State-Segmentation-Based Event-Triggered Control for Discrete-Time 2-D Switched Systems

This paper focuses on the event-triggered control problem for two-dimensional (2-D) discrete-time switched systems represented by both the Fornasini-Marchesini local state-space model. The existence of 2-D properties brings many difficulties to the selection of states with transport. Unlike existing event-triggered generators, this paper takes advantage of the special characteristics of 2-D switched systems by splitting the system state into “horizontal” and “vertical” states. The segmented state is then transmitted at some “necessary” two-dimensional moments, which will further reduce the amount of transmitted data. Next, a state feedback controller consisting of transferred horizontal and vertical states is designed corresponding to the event-triggered generator. Finally, we demonstrate the effectiveness and improvement of the proposed approach through an example.