Event-driven sliding mode control of discrete-time 2-D Roesser systems

This paper focuses on the event-driven sliding mode control (SMC) problem of discrete-time two-dimensional (2- D) Roesser systems. First, the horizontal and vertical sliding surface functions are constructed for the considered 2-D systems, respectively, and sufficient conditions are proposed to guarantee the asymptotical stability of the resultant 2-D sliding mode dynamics. Second, the sliding mode controller is designed to ensure the reachability of the sliding mode in a finite region and is maintained there all the time. Third, the event-triggered strategy is further incorporated to implement the event-driven SMC scheme for better resource utilisation. Particularly, the event driven rule is established in combination with the reachability of the sliding mode, and meanwhile the event-driven instants are determined to perform the event-driven SMC for the addressed 2-D systems. Finally, one verification example is given to show the effectiveness of the proposed SMC design method.