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EIV methods for system identification with fractional models

Manel Chetoui 1 Rachid Malti 2 Magalie Thomassin 3 Mohamed Aoun 4 Slaheddine Najar 4 Alain Oustaloup 2 Naceur Abdelkrim 4
1 Automatique / CRONE
IMS - Laboratoire de l'intégration, du matériau au système, MACS - Unité de recherche Modélisation, Analyse et Commande de Systèmes
2 Automatique / CRONE
IMS - Laboratoire de l'intégration, du matériau au système
3 IRIS, SBS
CRAN - Centre de Recherche en Automatique de Nancy
Abstract : This paper deals with continuous-time system identification with fractional models in Errors-In-Variables context. Two estimators based on Higher-Order Statistics (third-order cumulants) are proposed. A State Variable Filter approach is extended to fractional orders to compute fractional derivatives of third-order cumulants estimates. The performance of the proposed algorithms is illustrated in a numerical example. Firstly, differentiation orders are fixed and differential equation coefficients are estimated. The consistency of the proposed estimators is evaluated through a study of the tuning parameter and Monte Carlo simulations. Then, the commensurate differentiation order is optimized along with the differential equation coefficients.
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https://hal.archives-ouvertes.fr/hal-00751748
Contributor : Magalie Thomassin <>
Submitted on : Wednesday, November 14, 2012 - 10:47:44 AM
Last modification on : Monday, March 11, 2019 - 12:42:02 PM

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Manel Chetoui, Rachid Malti, Magalie Thomassin, Mohamed Aoun, Slaheddine Najar, et al.. EIV methods for system identification with fractional models. 16th IFAC Symposium on System Identification, SYSID'2012, Jul 2012, Bruxelles, Belgium. pp.1641-1646, ⟨10.3182/20120711-3-BE-2027.00270⟩. ⟨hal-00751748⟩

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