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

Hongwei Xia, Li Li, Yanmin Wang, Aiguo Wu and Guangcheng Ma

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:678653

DOI: 10.1155/2013/678653

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