ROBUST STABILIZATION OF SINGULAR SYSTEMS INCLUDING STATE DELAY VIA SLIDING MODE CONTROL

The present paper concerns with the silding mode control for uncertain singular time-delay systems. First, a proportional-integral switching surface is newly proposed such that the sliding mode motion is not on ly asymptotically stable but also with a prospective stability degree. This type of switching surface does not allow for a reduction of orde r as it is the case with most sliding mode control. This property of s witching surface make it easy to design a sliding mode controller for the considered singular time-delay systems. Then based on the switchin g surface, a sliding mode controller is derived to guarantee the occur rence of sliding mode motion in finite time. Finally, a numerical exam ple is given to show the design procedures.