A Full-Block S-procedure application to delay-dependent state-feedback control of uncertain time-delay systems

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 deals about the robust stabilization of uncertain systems with timevarying state delays in the delay dependent framework. The system is represented using LFR and stability is deduced from Lyapunov-Krasovskii theorem and full-block S-procedure. We derive sufficient conditions to the existence of a robust H-infinity state-feedback control law. As this sufficient condition is expressed in terms of nonlinear matrix inequality (NMI), we propose a relaxation based on the cone complementary algorithm which is known to lead to good results for such problems. We show the efficiency of our method trough an example.

Domaines: Automatique / Robotique

Corentin Briat, Olivier Sename, Jean-François Lafay. A Full-Block S-procedure application to delay-dependent state-feedback control of uncertain time-delay systems. IFAC WC 2008 - 17th IFAC World Congress, Jul 2008, Séoul, South Korea. ⟨hal-00337002⟩