An effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method

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dc.authoridKoseoglu, Murat/0000-0003-3774-1083
dc.authoridHafiz, Alisoy/0000-0003-4374-9559
dc.authoridDeniz, Furkan Nur/0000-0002-2524-7152
dc.authoridAlagoz, Baris Baykant/0000-0001-5238-6433
dc.authorwosidKoseoglu, Murat/ABG-8975-2020
dc.authorwosidHafiz, Alisoy/ABA-7256-2020
dc.authorwosidDeniz, Furkan Nur/ABB-9604-2020
dc.authorwosidAlagoz, Baris Baykant/ABG-8526-2020
dc.contributor.authorKoseoglu, Murat
dc.contributor.authorDeniz, Furkan Nur
dc.contributor.authorAlagoz, Baris Baykant
dc.contributor.authorAlisoy, Hafiz
dc.date.accessioned2024-08-04T20:51:35Z
dc.date.available2024-08-04T20:51:35Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThere is a growing interest in fractional calculus and Fractional Order (FO) system modeling in many fields of science and engineering. Utilization of FO models in real-world applications requires practical realization of FO elements. This study performs an analog circuit realization of approximate FO derivative models based on Modified Stability Boundary Locus (M-SBL) fitting method. This study demonstrates a low-cost and accurate analog circuit implementation of M-SBL fitting based approximate model of FO derivative elements for industrial electronics. For this purpose, a 4th order approximate derivative transfer function model of the M-SBL method is decomposed into the sum of first order low-pass filters form by using Partial Fraction Expansion (PFE) method, and the analog circuit design of the approximate FO derivative model is performed. Firstly, by using the final value theorem, authors theoretically show that the time response of the sum of first order low-pass filter form can converge to the time response of fractional order derivative operators. Then, the approximation performance of proposed FO derivative circuit design is validated for various input waveforms such as sinusoidal, square and sawtooth waveforms via Multisim simulations. Results indicate an accurate realization of the FO derivative in time response (an RMSE of 0.0241). The derivative circuit realization of the M-SBL fitting model in the form of the sum of first order low pass filters can yield a better time response approximation performance compared to the Continued Fraction Expansion (CFE) based ladder network realization of the approximate derivative circuit.en_US
dc.identifier.doi10.1016/j.jestch.2021.10.001
dc.identifier.issn2215-0986
dc.identifier.scopus2-s2.0-85122685797en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.jestch.2021.10.001
dc.identifier.urihttps://hdl.handle.net/11616/100406
dc.identifier.volume33en_US
dc.identifier.wosWOS:000807494300006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier - Division Reed Elsevier India Pvt Ltden_US
dc.relation.ispartofEngineering Science and Technology-An International Journal-Jestechen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional order derivativeen_US
dc.subjectApproximate realizationen_US
dc.subjectAnalog circuit designen_US
dc.titleAn effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting methoden_US
dc.typeArticleen_US

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