Robust stabilization of linear discrete-time systems with time-varying input delay

Antonio Gonzalez Sorribes (1)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper presents a sufficient condition to stabilize linear discrete-time systems with time-varying input delay and model uncertainties. The key idea consists of applying Artstein's reduction method and the scaled bounded real lemma; the robust stabilization problem is cast as a set of linear matrix inequalities on a transformed delay-free system. Hence, a novel convex characterization of the problem, an alternative to bilinear matrix inequalities in prior literature, is provided. Predictor-based controllers and robust state-feedback stabilization are particular cases of the proposal. Furthermore, numerical examples show that this proposal may improve tolerance against delay variations when compared to other methods available in literature. © 2013 Elsevier Ltd. All rights reserved.

Mots clés: Artstein's model reduction; Linear matrix inequality (LMI); Scaled bounded real lemma; Stabilization of time-varying delay systems

Domaines: Automatique / Robotique

Antonio Gonzalez Sorribes. Robust stabilization of linear discrete-time systems with time-varying input delay. Automatica, 2013, 49 (9), pp.2919-2922. ⟨10.1016/j.automatica.2013.05.031⟩. ⟨hal-03615261⟩