A NOTE ON STABILITY OF TIME DELAY SYSTEMS

Frédéric Gouaisbaut (1) , Dimitri Peaucelle (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This paper considers the robust stability of time delay systems by means of quadratic separation theory. Using this formalism both delay independent and delay dependent criteria are provided. In the nominal case, without uncertainties, our result is shown to be equivalent to other LMI-based results from the literature. Finally, an academic example is provided to show the effectiveness of this robust analysis approach.

Mots clés: Quadratic separation; Linear time delay systems; Stability; Robustness

Domaines: Automatique

Frédéric Gouaisbaut, Dimitri Peaucelle. A NOTE ON STABILITY OF TIME DELAY SYSTEMS. 5th IFAC Symposium on Robust Control Design (Rocond 06), Jul 2006, Toulouse, France. 13p. ⟨hal-00401031⟩