Robust stability analysis for time-delay systems using the integral quadratic constraint approach

Minyue Fu (1) , Huaizhong Li (2) , Silviu-Iulian Niculescu (3)

1 UoN - University of Newcastle [Callaghan, Australia]
2 LAG - Laboratoire d'automatique de Grenoble
3 OC - Optimisation et commande

Given a time-delay system, we are interested in finding new robust stability conditions for the system. We apply the integral quadratic constraint approach to obtain two results which allow us to test the robust stability using the linear matrix inequality technique. Both results give an estimate of the maximum time-delay which preserves robust stability. The first result is simpler to apply while the second one gives a less conservative robust stability condition.

Mots clés: Delay systems; LMI; Robust control

Domaines: Automatique / Robotique

Minyue Fu, Huaizhong Li, Silviu-Iulian Niculescu. Robust stability analysis for time-delay systems using the integral quadratic constraint approach. 4th European Control Conference, ECC 1997, Luc Dugard; E I Verriest, Jul 1997, Brussels, Belgium. pp.3643-3647. ⟨hal-02301673⟩