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Analog Realization of a Fractional Recursive Variable-Type and Order Operator for a Particular Switching Strategy

Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland
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Electronics 2020, 9(5), 855; https://doi.org/10.3390/electronics9050855
Received: 17 April 2020 / Revised: 7 May 2020 / Accepted: 14 May 2020 / Published: 21 May 2020
(This article belongs to the Special Issue Fractional-Order Circuits & Systems Design and Applications)
In this paper, we propose a method of practical realization and an actual, physical hardware implementation of a fractional variable-type and order difference operator that switches between two (i.e., B - and D -type) variable-order definitions. After the theoretical model of such a switch, we report the experimental validation on an analog model to prove its adequacy. The tests prove with great certainty that the proposed model and the realization behave correctly. They also let the authors assume that the proposed method is the only one suitable for this case, based on the counterexamples presented. View Full-Text
Keywords: fractional calculus; variable-order; analog realization fractional calculus; variable-order; analog realization
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Sierociuk, D.; Macias, M.; Malesza, W.; Wiraszka, M.S. Analog Realization of a Fractional Recursive Variable-Type and Order Operator for a Particular Switching Strategy. Electronics 2020, 9, 855.

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