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Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery

Stark, Oliver 1,2; Pfeifer, Martin 1,2; Hohmann, Sören 1,2
1 Fakultät für Elektrotechnik und Informationstechnik – Institut für Höchstfrequenztechnik und Elektronik (IHE), Karlsruher Institut für Technologie (KIT)
2 Institut für Regelungs- und Steuerungssysteme (IRS), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):
This paper deals with a method for the parameter and order identification of a fractional model. In contrast to existing approaches that can either handle noisy observations of the output signal or systems that are not at rest, the proposed method does not have to compromise between these two characteristics. To handle systems that are not at rest, the parameter, as well as the order identification, are based on the modulating function method. The novelty of the proposed method is that an optimization-based approach is used for the order identification. Thus, even if only noisy observations of the output signal are available, an approximate identification can be performed. The proposed identification method is, then, applied to identify the parameters and orders of a lithium-ion battery model. The experimental results illustrate the practical usefulness and verify the validity of our approach.


Verlagsausgabe §
DOI: 10.5445/IR/1000135120
Veröffentlicht am 08.07.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 08.07.2021
Sprache Englisch
Identifikator ISSN: 2227-7390
KITopen-ID: 1000135120
Erschienen in Mathematics
Verlag MDPI
Band 9
Heft 14
Seiten Art.-Nr.: 1607
Bemerkung zur Veröffentlichung This article belongs to the Special Issue Fractional Differential Equations and Control Problems.
Gefördert durch den KIT-Publikationsfonds
Schlagwörter fractional analysis lithium-ion battery parameter and order identification
Nachgewiesen in Dimensions
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