Robust sampled-data stabilization of linear systems: An input delay approach

Emilia Fridman, Alexandre Seuret, Jean Pierre Richard

Research output: Contribution to journalArticlepeer-review

Abstract

A new approach to robust sampled-data control is introduced. The system is modelled as a continuous-time one, where the control input has a piecewise-continuous delay. Sufficient linear matrix inequalities (LMIs) conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems. The only restriction on the sampling is that the distance between the sequel sampling times is not greater than some prechosen h > 0 for which the LMIs are feasible. For h → 0 the conditions coincide with the necessary and sufficient conditions for continuous-time state-feedback stabilization. Our approach is applied to two problems: to sampled-data stabilization of systems with polytopic type uncertainities and to regional stabilization by sampled-data saturated state-feedback.

Original languageEnglish
Pages (from-to)1441-1446
Number of pages6
JournalAutomatica
Volume40
Issue number8
DOIs
StatePublished - Aug 2004

Keywords

  • Input delay
  • LMI
  • Sampled-data control
  • Stabilization
  • Time-varying delay

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