Homogeneity in the bi-limit as a tool for observer and feedback design - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2010

Homogeneity in the bi-limit as a tool for observer and feedback design

Résumé

We introduce an extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability, robustness and uniform (in the initial condition) finite time convergence for a homogeneous in the bi-limit vector field. We then introduce a homogeneous in the bi-limit observer and state-feedback for a chain of integrators. Combining these two tools we establish a global asymptotic stabilization result by output feedback for feedback and feedforward systems. We obtain also a finite time observer for globally Lipschitz system.
Fichier principal
Vignette du fichier
2009_AndrieuPralyAstolfi_CDC_HomoTools.pdf (248.71 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00529835 , version 1 (26-10-2010)

Identifiants

Citer

Vincent Andrieu, Laurent Praly, Alessandro Astolfi. Homogeneity in the bi-limit as a tool for observer and feedback design. 48th IEEE Conference on Decision and Control, Dec 2009, China. pp.1050 - 1055, ⟨10.1109/CDC.2009.5400263⟩. ⟨hal-00529835⟩
360 Consultations
159 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More