Analog realization of a fractional recursive variable-type and order operator for a particular switching strategy

Dominik Sierociuk , Michał Macias , Wiktor Malesza , Michał Wiraszka

Abstract

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.