Robust integral sliding mode control for uncertain singular time-delay systems

In this paper, we investigate the design problem of the sliding mode control for uncertain singular time-delay systems. Based on the dependent-delay robust stability criterion, we give an integral-type surface and propose a delay-dependent sufficient condition such that the sliding mode dynamics restricted to the surface is regular, impulse free, robustly asymptotically stable for all admissible uncertainties. The surface is designed by LMI-type conditions and cone complementary linear iterative algorithm. A sliding mode control(SMC) law is synthesized to guarantee the reachability of the sliding surface.