An augmented model for robust stability analysis of time-varying delay systems

Yassine Ariba (1) , Frédéric Gouaisbaut (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

Stability analysis of linear systems with time-varying delay is inves- tigated. In order to highlight the relations between the variation of the delay and the states, redundant equations are introduced to construct a new modeling of the delay system. New types of Lyapunov Krasovskii functionals are then proposed allowing to reduce the conservatism of the stability criterion. Delay dependent stability conditions are then formu- lated in terms of linear matrix inequalities (LMI). Finally, several exam- ples show the effectiveness of the proposed methodology.

Mots clés: Time-delay systems stability; Lyapunov-Krasovskii functional; LMI

Domaines: Automatique / Robotique

Yassine Ariba, Frédéric Gouaisbaut. An augmented model for robust stability analysis of time-varying delay systems. International Journal of Control, 2009, 82 (9), p.1616-1626. ⟨hal-00357764⟩