Observer-based Sliding Mode Control for a Class of Nonlinear Neutral Delay Systems

The issues of sliding mode observer design and observer-based controller design are addressed for a class of uncertain nonlinear neutral delay systems.First,a delay-dependent sufficient condition is proposed for robust asymptotic stability of the sliding mode dynamics.A sliding mode observer is designed,and a sufficient condition is given for the existence of such an observer.Based on the estimated system state,a controller is synthesized by combining the sliding mode control theory with the reaching law technology.This proposed control scheme guarantees the reachability of the sliding surfaces defined in both the state estimation space and the state estimation error space.A numerical example is given to illustrate the proposed design scheme.