Robust sliding mode control for a class of nonlinear systems: An LMI approach

In this paper, we consider the robust sliding mode control problem for a class of systems with norm bounded parametric uncertainty and external disturbance. Based on Lyapunov stability theory and linear matrix inequality approach, the proposed control scheme can achieve both asymptotic stability and some robust performances, and the corresponding robust controller that assures the occurrence of sliding mode in finite time is developed. A numerical example is presented to demonstrate the effectiveness of the results.