System identification using subspace-based methods and differentiation similarities in fractional pseudo-state space representations

Rachid Malti 1 Magalie Thomassin 2
2 IRIS, SBS
CRAN - Centre de Recherche en Automatique de Nancy
Abstract : The paper starts by presenting a new concept of differentiation similarity transformations for commensurate pseudo-states-space representations. It is proven that a pseudo state-space representation with a commensurate differentiation order and a dimension of the transition matrix n can be similar to a pseudo-state-space representation with a commensurate order υ and a dimension of the transition matrix kn, where k is an integral number. A direct consequence of the aforementioned concept in fractional subspace-based identification methods for MIMO systems is that an overestimated pseudo-state-space representation has multiple minimums at commensurate differentiation orders over the integral number k. This result is especially visible when deterministic input/output signals are considered and less visible in the stochastic case due to overestimation.
Type de document :
Communication dans un congrès
5th symposium on Fractional Differentiation and its Applications, FDA2012, May 2012, Nanjing, China. pp.CDROM, 2012
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00804790
Contributeur : Rachid Malti <>
Soumis le : mardi 26 mars 2013 - 12:31:15
Dernière modification le : vendredi 16 février 2018 - 19:10:01

Identifiants

  • HAL Id : hal-00804790, version 1

Citation

Rachid Malti, Magalie Thomassin. System identification using subspace-based methods and differentiation similarities in fractional pseudo-state space representations. 5th symposium on Fractional Differentiation and its Applications, FDA2012, May 2012, Nanjing, China. pp.CDROM, 2012. 〈hal-00804790〉

Partager

Métriques

Consultations de la notice

71