A Novel Approach to Sliding Mode Control of Time-Delay Systems

Abstract EN

This paper is concerned with the sliding mode control for a class of linear systems with time-varying delays.

By utilizing a novel Lyapunov-Krasovskii functional and combining it with the delay fractioning approach as well as the free-weighting matrix technology, a sufficient condition is established such that the resulting sliding mode dynamics is asymptotically stable.

Then, a sliding mode controller for reaching motion is synthesized to guarantee that the trajectories of the resulting closed-loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent time.

A numerical example is provided to illustrate the effectiveness of the proposed design approach.