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A descriptor approach to sliding mode control of systems with time-varying delays

  • E. Fridman
  • , F. Gouaisbaut
  • , M. Dambrine
  • , J. P. Richard
  • École centrale de Lille

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this note we combine a descriptor approach to stability and control of linear systems with time-varying delays, which is based on the Lyapunov - Krasovskii techniques, with a recent result on sliding mode control of such systems. The systems under consideration have norm-bounded uncertainties and uncertain bounded delays. The solution is given in terms of linear matrix inequalities (LMIs) and improves the previous results, based on other Lyapunov techniques. A numerical example illustrates the advantages of the new method.

Original languageEnglish
Title of host publicationEuropean Control Conference, ECC 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages47-52
Number of pages6
ISBN (Electronic)9783952417379
DOIs
StatePublished - 13 Apr 2003
Event2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom
Duration: 1 Sep 20034 Sep 2003

Publication series

NameEuropean Control Conference, ECC 2003

Conference

Conference2003 European Control Conference, ECC 2003
Country/TerritoryUnited Kingdom
CityCambridge
Period1/09/034/09/03

Keywords

  • LMI
  • Sliding mode control
  • Stability
  • Time-varying delay
  • Uncertain system

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