Adaptive global robust sliding mode control for uncertain systems with time-varying delay

The problem of designing global robust sliding robust controllers for a class of uncertain linear system with time-delay is considered. A type of integral sliding surface is introduced and the system exhibits global robustness during the entire response of the system. In terms of LMI, the design of sliding mode surface is obtained through the delay-dependent robust stable conclusions of the nominal time-delay system based on the state transformation mode of a novel free-weighting matrices, so that the conservative for the design of sliding mode surface is lowered. Based on the adaptive control scheme,an adaptive sliding mode controller is investigated, which can overcome uncertainties and time-delay.