Hyperbolic hybrid switching sliding surface design for discrete delay system with uncertainty

This paper investigates the sliding mode control for discrete time system with input delay and uncertainty. Two different hyperbolic functions are introduced during sliding surface design procedure to design a novel sliding surface, named as hyperbolic hybrid switching sliding surface. Because of the introduction of two hyperbolic functions, we artificially achieve the switching of sliding surface. This switching can achieve quick response as well as low overshoot of closed loop system with easy implemented structure. The derived theorems verify the reaching condition of the sliding surface, and the condition to ensure the stability of closed loop system. Finally, simulation example is presented to illustrate the effectiveness of proposed method.