Global sliding mode control for uncertain linear systems with input time-delays

The problem of designing global sliding mode controllers for a class of linear and uncertain systems with time delays of control was concerned. Firstly, we proposed a new method for integral sliding surface. It can make up for the deficiencies of the traditional sliding surface, eliminating the process of reaching and ensuring the global robustness of the system. Secondly, this paper gave the process of designing a global sliding mode controller. Based on LMI, it gives and proves a sufficient asymptotic stability condition of the sliding motion. Designed the dynamics and discontinuity of the compensating control law can guarantee the existence of the sliding surface and effectively compensate for the uncertainties. Finally, The efficiency and superiority of the proposed method were demonstrated by simulation study.