Finite L2-induced gain and lambda-contractivity of discrete-time switching systems including modal nonlinearities and saturating actuator. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Hybrid Systems Année : 2011

Finite L2-induced gain and lambda-contractivity of discrete-time switching systems including modal nonlinearities and saturating actuator.

Résumé

The paper addresses two control problems of discrete-time switching systems subject to modal nonlinearities satisfying sector conditions, actuator saturations and additive L2-bounded disturbances. Such switching systems consist of a finite family of discrete-time processes that are supervised by logical decision-making algorithms. Conditions based on LMIs are provided for synthesizing the control gains and for obtaining regions of absolute lambda-contractivity as large as possible or for obtaining a L2-gain as small as possible. A numerical example illustrates the proposed approaches.
Fichier principal
Vignette du fichier
NAHS_Jungers_07.pdf (320.17 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00533489 , version 1 (15-07-2013)

Identifiants

Citer

Marc Jungers, Eugênio Castelan, Sophie Tarbouriech, Jamal Daafouz. Finite L2-induced gain and lambda-contractivity of discrete-time switching systems including modal nonlinearities and saturating actuator.. Nonlinear Analysis: Hybrid Systems, 2011, 5 (2), pp.289-300. ⟨10.1016/j.nahs.2010.10.010⟩. ⟨hal-00533489⟩
222 Consultations
273 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More