Stabilization of discrete‐time 2‐D switched systems: A state‐segmentation‐based event‐triggered mechanism

Abstract

AbstractThis article addresses the event‐triggered control issue for two‐dimensional (2‐D) discrete‐time switched systems represented by both the Fornasini‐Marchesini local state‐space model and the Roesser model. The presence of 2‐D properties poses several challenges in selecting states for transport. Unlike existing event‐triggered generators, this article leverages the unique characteristics of 2‐D switched systems by dividing the system state into “horizontal” and “vertical” states. The segmented state is then transmitted at “necessary” two‐dimensional moments to minimize the amount of transmitted data. Furthermore, a state feedback controller, consisting of transferred horizontal and vertical states, is designed corresponding to the event‐triggered generator. By introducing average dwell time with the switching Lyapunov functional method, sufficient stabilization conditions are derived for the considered system. Finally, the proposed approach's effectiveness and improvement are illustrated by an example.