Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach

  • Authors:
  • Emilia Fridman;Alexandre Seuret;Jean-Pierre Richard

  • Affiliations:
  • Department of Electrical Engineering-Systems, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel;LAIL UMR 8021 Ecole Centrale de Lille, Villeneuve d'ascq 59651 Cedex, France;LAIL UMR 8021 Ecole Centrale de Lille, Villeneuve d'ascq 59651 Cedex, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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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 h0 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.