Infinite gain margin, contraction and optimality: an LMI-based design - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue European Journal of Control Année : 2022

Infinite gain margin, contraction and optimality: an LMI-based design

Résumé

In this paper we focus on nonlinear systems composed by a linear term plus a nonlinearity satisfying a monotonic or a sector bound condition. We present sufficient conditions based on LMIs for the design of a feedback control law possessing an infinite gain margin property that makes the closed-loop system to define a contraction. Then, we analyze the connection between infinite gain margin contractive feedbacks and optimization problems by showing how such an infinite gain control design minimizes a given cost function. A practical case of study is given to illustrate our results.
Fichier principal
Vignette du fichier
ECC2022_Infinite_Gain_Contraction.pdf (376.62 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03704614 , version 1 (25-06-2022)

Identifiants

Citer

Mattia Giaccagli, Vincent Andrieu, Sophie Tarbouriech, Daniele Astolfi. Infinite gain margin, contraction and optimality: an LMI-based design. European Journal of Control, 2022, 68, pp.100685. ⟨10.1016/j.ejcon.2022.100685⟩. ⟨hal-03704614⟩
145 Consultations
166 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More