Sliding mode control of discrete-time 2-D Roesser systems via event-based scheme

This paper is concerned with the problem of sliding mode control (SMC) of discrete-time two-dimensional (2-D) systems in Roesser type via an event-triggered scheme. For the 2-D Roesser system, an event-triggered scheme (ETS) is first proposed, followed by introducing some linear sliding surface functions. It is shown that the introduced sliding surface functions are existent under some sufficient conditions thus derived. Furthermore, the reaching law approach is utilized to construct the event-triggered sliding mode controllers so as to force the state trajectories of the closed-loop 2-D system into a bounded region and keep them inside it thereafter. Computer simulation results illustrate the capableness of the proposed event-triggered SMC scheme for 2-D Roesser systems