Identification fréquentielle de systèmes par modèle non entier en utilisant la méthode des sous-espaces

Identification fréquentielle de systèmes par modèle non entier en utilisant la méthode des sous-espaces

Elena Ivanova Rachid Malti Xavier Moreau 

Laboratoire de l’Intégration du Matériau au Système, IMS UMR 5218 Université de Bordeaux, 351 Cours de la Libération F-33405 Talence cedex, France

Corresponding Author Email: 
prénom.nom@ims-bordeaux.fr
Page: 
117-135
|
DOI: 
https://doi.org/10.3166/JESA.50.117-135
| |
Published: 
30 April 2017
| Citation
Abstract: 

In this paper, an algorithm based on subspace method from the MOESP (MIMO Ouput-Erreur State sPace) family is presented, for state-space identification of continuous-time fractional commensurate models, using samples of frequency data. As compared to the rational state-space representation, the commensurate differentiation order must be estimated besides the state-space matrices, estimated with conventional subspace-based techniques using QR and singular value decomposition. This is the first method developed for multi-input multi-output system identification of fractional models in the frequency domain.

Keywords: 

fractional state-space representation, subspace method, identification in frequency domain: deterministic and stochastic contexts

1. Introduction
2. Systèmes non entiers
3. Identification fréquentielle des systèmes non entiers par la méthode des sous-espaces
4. Exemples d’illustration
5. Conclusion
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