Stability of systems with the Duhem hysteresis operator: The dissipativity approach - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Automatica Année : 2012

Stability of systems with the Duhem hysteresis operator: The dissipativity approach

Résumé

In this paper, we discuss the dissipativity property of the counterclockwise Duhem operator. Sufficient conditions on the functions which define the Duhem operator are given such that the Duhem operator has counterclockwise input-output dynamics. In particular, an explicit construction of the storage functions satisfying the counterclockwise dissipation inequality is given. The constructed storage function is also related to the underlying anhysteresis function which is commonly used to describe hysteresis in magnetic materials. The results can thus facilitate analysis of systems with the counterclockwise Duhem operator via the dissipativity approach.
Fichier principal
Vignette du fichier
Art14_Automatica_brief_29feb.pdf (144.54 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00754365 , version 1 (20-11-2012)

Identifiants

Citer

Bayu Jayawardhana, Ruiyue Ouyang, Vincent Andrieu. Stability of systems with the Duhem hysteresis operator: The dissipativity approach. Automatica, 2012, 48 (10), pp.2657-2662. ⟨10.1016/j.automatica.2012.06.069⟩. ⟨hal-00754365⟩
95 Consultations
295 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More