A synchronization-based state observer for impact oscillators using only collision time information - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2015

A synchronization-based state observer for impact oscillators using only collision time information

Résumé

We present the design of a state observer for Lagrangian systems subjected to frictionless geometric unilateral constraints. A master–slave synchronization setup is used in which the unidirectional coupling only consists of the information of the impact time instants. After a brief synchronization phase, the obtained observer replicates the full state of the observed system, independently of the initial conditions and even in the presence of accumulation points (Zeno behavior). The key idea is that the (virtual) observer system is subjected to switched kinematic unilateral constraints such that it may enjoy the property of incremental stability when the impact law is maximal monotone. The main inequality impact laws for hard unilateral constraints, that is, the generalized Poisson's and Newton's impact law, are under mild assumptions maximal monotone, which is a stronger condition than dissipativity. The results are applied to two different examples of mechanical impact oscillators.
Fichier principal
Vignette du fichier
Baumann_Leine-2015B.pdf (413.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01326052 , version 1 (06-06-2016)

Identifiants

Citer

Michael Baumann, Remco Leine. A synchronization-based state observer for impact oscillators using only collision time information. International Journal of Robust and Nonlinear Control, 2015, ⟨10.1002/rnc.3460⟩. ⟨hal-01326052⟩

Collections

TDS-MACS
64 Consultations
87 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More