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Online Parameter Identification of a Fractional Order Model [in press]

Stark, Oliver; Kupper, Martin; Krebs, Stefan; Hohmann, Sören

Abstract (englisch):
This paper deals with the parameter identification of a fractional order model using modulating function method. The novelty is that the system has not to be at rest at the beginning of the parameter identification. That means, regarding fractional calculus, the initialization function must be considered. In the paper, it is stated that if a modulating function has a particular property the initialization function can be neglected. In this paper, it is also shown that the spline-type modulating function fulfills this property. Before the property can be stated, the used fundamentals of fractional calculus are given and the modulating function method is provided. Due to the property of this method, a fractional order differential equation is converted into an algebraic one. By shifting the modulating function, a system of linear equations is generated and a least squares algorithm in matrix form is applied to estimate the parameters. An error analysis and a numerical example complete this paper.

Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Proceedingsbeitrag
Jahr 2018
Sprache Englisch
Identifikator KITopen ID: 1000084547
HGF-Programm 37.06.01; LK 01
Erschienen in 57th IEEE Conference on Decision and Control (CDC 2018), Miami, FL, December 17-19, 2018
Verlag IEEE, Piscataway, NJ
Schlagworte Identifikation, Fraktionales Modell, Initialisierung, Anfangsbedingung
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