Robust Control Design Based-On Integral Sliding-Mode Control

This paper proposes a robust control design based-on integral sliding-mode and H2–norm performance criterion to handle a class of time-varying systems with perturbations including non-linearities and disturbances. The stabilization problems for such systems are studied: integral slid-ing-mode is designated to completely nullify the matched perturbations and, in the meantime, elim-inate the reaching phase to the sliding surface, while H2–norm is a robust linear control measured for system on the sliding surface. In addition to the integral sliding mode control, the contribution of the paper is to implement a parameter-dependent Lyapunov function for H2–norm robust linear control that the overall designed system is less conservative for the system with both matched and unmatched perturbations.