Stabilization by a relay control using non-quadratic Lyapunov functions - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2018

Stabilization by a relay control using non-quadratic Lyapunov functions

Résumé

In this article we consider the stabilization problem by a relay control using non-quadratic Lyapunov functions. First, a general result is proposed for the case of nonlinear systems. A full state relay feedback controller is designed in order to ensure the local asymptotic stability of the closed-loop system. Then, the result is applied to the particular case of LTI systems. A constructive method based on LMI conditions is given in order to design nonlinear switching surfaces and provide an estimation of a non-ellipsoidal domain of attraction. In addition, the approach is extended to observer-based relay feedback. Both linear and nonlinear switching surfaces dependent on the estimated state are designed while using a Luenberger observer. Finally, illustrative examples are proposed in order to show the efficiency of the proposed methods and simulations are performed for a Buck converter structure.
Fichier principal
Vignette du fichier
Automatica - Version finale.pdf (804.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01871693 , version 1 (11-09-2018)

Identifiants

Citer

Zohra Kader, Christophe Fiter, Laurentiu Hetel, Lotfi Belkoura. Stabilization by a relay control using non-quadratic Lyapunov functions. Automatica, 2018, 97, pp.353 - 366. ⟨10.1016/j.automatica.2018.08.020⟩. ⟨hal-01871693⟩
158 Consultations
268 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More