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

Author

Listed:
  • Hongwei Xia
  • Li Li
  • Yanmin Wang
  • Aiguo Wu
  • Guangcheng Ma

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.

Suggested Citation

  • Hongwei Xia & Li Li & Yanmin Wang & Aiguo Wu & Guangcheng Ma, 2013. "A Novel Approach to Sliding Mode Control of Time-Delay Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:678653
    DOI: 10.1155/2013/678653
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