Sliding Mode Control for Uncertain 2D Systems Under Stochastic Communication Protocol: The Roesser Model Case

Abstract

This brief investigates the sliding mode control (SMC) problem of two-dimensional (2D) systems depicted by the Roesser model subject to limited communication channels. The stochastic communication protocol is employed to schedule the transmission from controller to actuators, under which only one controller node at each instant will be randomly selected to transmit its signal. To maintain the structural characteristics of 2D system, a sliding surface related to the horizontal and vertical states is constructed. By introducing the zero-input strategy to generate the information of unchosen nodes, a token-dependent SMC is designed, and both the reachability of the sliding surface and the asymptotic stability of the closed-loop system are analyzed. Moreover, the feasible SMC is obtained via solving a minimization problem. Finally, the proposed control scheme is applied in the metal rolling process.