LPV-ARX representations for LPV State-Space Representations with Affine Dependence

Petreczky, Mihaly; Toth, Roland; Mercere, Guillaume

Document type :

Article dans une revue scientifique

DOI :

10.2139/ssrn.4124078

Title :

LPV-ARX representations for LPV State-Space Representations with Affine Dependence

Author(s) :

Petreczky, Mihaly [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Toth, Roland [Auteur]
Mercere, Guillaume [Auteur]
Laboratoire d'Informatique et d'Automatique pour les Systèmes [LIAS]

Journal title :

SSRN Electronic Journal

Publication date :

2022-05-20

HAL domain(s) :

Informatique [cs]/Automatique
Mathématiques [math]/Optimisation et contrôle [math.OC]

English abstract : [en]

In this paper we show that an input-output function can be realized by an LPV state-space representation with affine and static dependence on the scheduling parameters, if and only if this input-output function satisfies ...
Show more >In this paper we show that an input-output function can be realized by an LPV state-space representation with affine and static dependence on the scheduling parameters, if and only if this input-output function satisfies certain LPV autoregressive input-output equations. The latter class of equations is linear in the derivatives (for continuous-time) or time-shifts (for discrete-time) of the outputs and control inputs, while the coefficients are polynomials of the shifts of the scheduling variable in discrete-time, or of the high-order derivatives of the scheduling variable in continuous-time. This result is a generalization of the well-known equivalence between linear state-space representations and autoregressive input-output models. Moreover, this result extends the results of [1] on LPV state-space representations with a dynamic and meromorphic dependence on the scheduling parameters to LPV state-space representations with a static and affine dependence on the scheduling parameters.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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