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

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., <inline-formula> <math display="inline"> <semantics> <mi mathvariant...

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Bibliographic Details
Main Authors: Dominik Sierociuk, Michal Macias, Wiktor Malesza, Michał Sławomir Wiraszka
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/9/5/855
Description
Summary: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., <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">B</mi> </semantics> </math> </inline-formula>- and <inline-formula> <math display="inline"> <semantics> <mi mathvariant="script">D</mi> </semantics> </math> </inline-formula>-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.
ISSN:2079-9292