Delay-Scheduled State-Feedback Design for Time-Delay Systems with Time-Varying delays

Corentin Briat (1) , Olivier Sename (1) , Jean-François Lafay (2)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

This paper is concerned in the synthesis of delay-scheduled state-feedback stabilizing linear systems with time-varying delay when the delay can be approximatively known in realtime. First we introduce a new model transformation turning the time-delay system into an uncertain LPV system. Using this reformulation we elaborate delay-dependent stability test based on the so-called full block S-procedure and derive from it a delay-dependent stabilization lemma. Our results are then relaxed using a new relaxation lemma which is shown to have good properties and provide then LMI based theorems, well-known for their tractability. Our results tackle error measurement on the delay. We show the efficiency of the method through an example.

Domaines: Automatique / Robotique

Corentin Briat, Olivier Sename, Jean-François Lafay. Delay-Scheduled State-Feedback Design for Time-Delay Systems with Time-Varying delays. IFAC WC 2008 - 17th IFAC World Congress, Jul 2008, Séoul, South Korea. ⟨hal-00336982⟩