An ellipsoidal set-membership parameter estimation of fractional orders systems

Author

Aoun, M. ; Amairi, M. ; Lassoued, Z. ; Najar, S. ; Abdelkrim, M.N.

Author_Institution

Nat. Eng. Sch. of Gabes (ENIG), Univ. of Gabes, Gabes, Tunisia

fYear

2011

fDate

22-25 March 2011

Firstpage

1

Lastpage

6

Abstract

This paper presents a new ellipsoidal set-membership method for the identification of linear fractional orders systems. It use the Optimal Bounding Ellipsoid (OBE) algorithm. When the probability distribution of the disturbances is unknown but bounded and when the differentiation orders are known, the proposed method can estimate all the feasible parameters. A numerical example shows the effectiveness of the proposed method.

Keywords

differential equations; differentiation; parameter estimation; statistical distributions; differentiation orders; ellipsoidal set-membership parameter estimation; fractional-order differential equations; linear fractional orders systems; optimal bounding ellipsoid algorithm; probability distribution; Computational modeling; Ellipsoids; Equations; Estimation; Laplace equations; Mathematical model; Parameter estimation; Fogel-Huang algorithm; Linear fractional systems; OBE; ellipsoidal set-membership approach; fractional differentiation; system identification;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals and Devices (SSD), 2011 8th International Multi-Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4577-0413-0

Type

conf

DOI

10.1109/SSD.2011.5767416

Filename

5767416