Sliding Mode Control for Uncertain Neutral Delay-Differential Systems.

Abstract

This paper investigates the problems of stability analysis and sliding mode control for a class of uncertain neutral delay-differential systems. First, we develop a new delay dependent condition such that uncertain neutral systems are not only asymptotically stable but also with a prescribed stability degree. Then, a proportional-integral switching surface is newly proposed such that the sliding mode motion is robustly stable with a prospective stability degree. This type of switching surface does not allow for a reduction of system order as it is the case with most sliding mode control. This property of switching surface makes it easy to design a sliding mode controller for the considered neutral systems. Based on the switching surface, a sliding mode controller is derived to guarantee the occurrence of sliding mode motion in finite time. Last, two illustrative examples are included to demonstrate the superiority of the obtained results.