Input-output approach to the control of time-delayed systems

V. Suplin, E. Fridman, U. Shaked

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

Abstract

An equivalence is established between the sufficient conditions obtained for stability, and consequently for H, -type performance, of linear retarded systems and the conditions that are achieved for stability and performance of systems without delay but with norm-bounded uncertainties. In the past, such an equivalence has been found for conditions that were derived for retarded systems using various model transformations. It is shown in this paper that such an equivalence also exists when the more recent and the more efficient descriptor model transformation is used to derive the corresponding sufficient conditions. The new input-output approach is applied also to the case of 'non-small' delay (delay in a segment that starts from a positive value) and to state-feedback sampled-data control.

Original languageEnglish
Title of host publicationProceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
Pages1556-1560
Number of pages5
DOIs
StatePublished - 2005
Event20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05 - Limassol, Cyprus
Duration: 27 Jun 200529 Jun 2005

Publication series

NameProceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
Volume2005

Conference

Conference20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05
Country/TerritoryCyprus
CityLimassol
Period27/06/0529/06/05

Keywords

  • Norm-bounded uncertainty
  • Sampled data systems
  • Stability of retarded systems
  • Time-delay

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