Delay-dependent sampled-data control based on delay estimates

Laurentiu Hetel (1) , Jamal Daafouz (2) , Jean-Pierre Richard (3, 1) , Marc Jungers (2)

1 SyNeR - Systèmes Non Linéaires et à Retards
2 CRAN - Centre de Recherche en Automatique de Nancy
3 ALIEN - Algebra for Digital Identification and Estimation

In this paper the sampled-data stabilization of linear time-invariant systems with feedback delay is considered. We assume that the delay is time-varying and that its value is approximatively known. We investigate how to use the available information about the evolution of delays for adapting the control law in real time. Numerical methods for the design of a delay-dependent controller are presented. This allows for providing a control for some cases in which the stabilization cannot be ensured using a controller with a fixed structure.

Mots clés: Sampled-data control; Time-varying delay; Delay-dependent control; Linear matrix inequalities (LMIs)

Domaines: Automatique / Robotique

Laurentiu Hetel, Jamal Daafouz, Jean-Pierre Richard, Marc Jungers. Delay-dependent sampled-data control based on delay estimates. Systems and Control Letters, 2011, 60 (2), pp.146-150. ⟨10.1016/j.sysconle.2010.12.00⟩. ⟨hal-00556635⟩