Robust sampled-data control: An input delay approach

Emilia Fridman (1) , Alexandre Seuret (2) , Jean-Pierre Richard (3, 4)

1 Department of Electrical Engineering
2 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
3 ALIEN - Algebra for Digital Identification and Estimation
4 SyNeR - Systèmes Non Linéaires et à Retards

A method for robust sampled-data stabilization of linear continuous-time systems is introduced. This method is based on the continuous-time model with time-varying input delay. Delay-dependent sufficient LMIs conditions for stabilization of systems with polytopic type uncertainty and for regional stabilization of systems with sampled-data saturated state-feedback are derived. The method may be applied to a wide spectrum of robust sampled-data control problems.

Domaines: Automatique; Analyse numérique [math.NA]

Emilia Fridman, Alexandre Seuret, Jean-Pierre Richard. Robust sampled-data control: An input delay approach. John Chiasson and Jean-Jacques Loiseau. Application of time delay systems, 352, Springer, pp.315-327, 2007, LNCIS, Lecture Notes in Control and Information Sciences, 978-3-540-49555-0. ⟨inria-00179843v2⟩