Robust delay-dependent sliding mode control for uncertain time-delay systems

Yuanqing Xia*, Guo Ping Liu, Peng Shi, Jie Chen, David Rees

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

In this paper, the problem of robust sliding mode control for a class of linear continuous time-delay systems is studied. The parametric uncertainty considered is a modelling error type of mismatch appearing in the state. A delay-dependent sufficient condition for the existence of linear sliding surfaces is developed in terms of linear matrix inequality, based on which the corresponding reaching motion controller is designed. A numerical example is given to show the potential of the proposed techniques.

Original languageEnglish
Pages (from-to)1142-1161
Number of pages20
JournalInternational Journal of Robust and Nonlinear Control
Volume18
Issue number11
DOIs
Publication statusPublished - 25 Jul 2008

Keywords

  • Linear matrix inequality
  • Robust stability
  • Sliding mode control
  • Time-delay

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