Sliding mode control for discrete time switched systems with uncertain parameters and time delay

This paper studies discrete nonlinear switched systems with uncertain parameters and time-varying delays, the new robust stability criterion is provided in the form of linear matrix inequality based on Lyapunov stability theory, the systems uncertainties were disposed by matrix inequality technique, the new sliding mode surface without time delay term is designed, the robust sliding mode controller designed based on Lyapunov stability theory, the controller input obtained by Newton-Raphson Algorithm in order to achieve uniformly asymptotic stability of the closed-loop system. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.