Fractional Systems’ Identification Based on Implicit Modulating Functions

Oliver Stark (), Marius Eckert, Albertus Johannes Malan and Sören Hohmann
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Oliver Stark: Sartorius Stedim Bitech GmbH, 37099 Göttingen, Germany
Marius Eckert: Faculty of Electrical Engineering and Information Technology, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
Albertus Johannes Malan: Faculty of Electrical Engineering and Information Technology, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany
Sören Hohmann: Faculty of Electrical Engineering and Information Technology, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany

Mathematics, 2022, vol. 10, issue 21, 1-24

Abstract: This paper presents a new method for parameter identification based on the modulating function method for commensurable fractional-order models. The novelty of the method lies in the automatic determination of a specific modulating function by controlling a model-based auxiliary system, instead of applying and parameterizing a generic modulating function. The input signal of the model-based auxiliary system used to determine the modulating function is designed such that a separate identification of each individual parameter of the fractional-order model is enabled. This eliminates the shortcomings of the common modulating function method in which a modulating function must be adapted to the investigated system heuristically.

Keywords: parameter identification; modulating function method; fractional calculus; commensurable order (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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