Realization Theory for LPV State-Space Representations with Affine Dependence

Petreczky, Mihaly; Toth, Roland; Mercère, Guillaume

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1109/TAC.2016.2629989

Titre :

Realization Theory for LPV State-Space Representations with Affine Dependence

Auteur(s) :

Petreczky, Mihaly [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Toth, Roland [Auteur]
Eindhoven University of Technology [Eindhoven] [TU/e]
Mercère, Guillaume [Auteur]
Laboratoire d'automatique et d'informatique industrielle [EA 1219] [LAII [Poitiers]]

Titre de la revue :

IEEE Transactions on Automatic Control

Pagination :

4667-4674

Éditeur :

Institute of Electrical and Electronics Engineers

Date de publication :

2016

ISSN :

0018-9286

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

We present a Kalman-style realization theory for linear parameter-varying state-space representations whose matrices depend on the scheduling variables in an affine way (abbreviated as LPV-SSA). We show that minimality of ...
Lire la suite >We present a Kalman-style realization theory for linear parameter-varying state-space representations whose matrices depend on the scheduling variables in an affine way (abbreviated as LPV-SSA). We show that minimality of LPV-SSAs is equivalent to observability and span-reachability rank conditions, and that minimal LPV-SSAs of the same input-output map are isomorphic. We present necessary and sufficient conditions for existence of an LPV-SSA in terms of the rank of a Hankel-matrix and a Ho-Kalman-like realization algorithm.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :