Robust discrete-time sliding mode controller for uncertain plant with state-delay

This paper investigates the method for robust sliding mode control problems for class of uncertain discrete-time state delay plant. Here in proposed algorithm, the sliding surface is designed on the output feedback and the designed sliding surface has been proven for its asymptotic stability by Lyapunov function. The proposed sliding mode controller is derived to guarantee the stability of overall close-loop system. This scheme ensures the robustness against parametric uncertainties in the system. Neither chattering phenomenon will occur, nor is the knowledge of upper bound of uncertainties required. Simulation results demonstrate the efficacy of the proposed technique and the designed algorithm will be more useful in highly unstable avionic systems.