Title :
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
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;
Conference_Titel :
Systems, Signals and Devices (SSD), 2011 8th International Multi-Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4577-0413-0
DOI :
10.1109/SSD.2011.5767416
