Exponential stabilization of delay neutral systems under sampled-data control

Alexandre Seuret, Emilia Fridman, Jean Pierre Richard

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

Abstract

This paper considers the exponential stabilization of delay systems of the neutral type via sampled-data control. The control input of the neutral system can present a delay, constant or variable. The sampling period is not necessarily constant. It is only assumed that the time between to successive sampling instants is bounded. Since the sampling effect (sampling and zero-holder) is equivalent to a variable delay, the resulting system is modelled as a continuous-time one, where the control input has a 'non-small' time-varying delay belonging to some interval [h - μ, h + μ]. For instance, h - μ may represent the minimum input delay, and 2μ the additional delay generated by the combination of the sampling effect with the input delay variation. This results in a system with 'non-small' time-varying delays (i.e. delays with a known and non-zero minimum value), the exponential stabilization of which is possible under LMI conditions. Two examples are provided. The first one deals with the sampled-data control of a neutral system. The second one considers the stabilization of a flexible rod with continuous, delayed 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
PublisherIEEE Computer Society
Pages1281-1285
Number of pages5
ISBN (Print)0780389360, 9780780389366
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

  • Flexible rod
  • LMI
  • Neutral system
  • Sampleddata control
  • Stabilization
  • Time-varying delay

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