Time response optimal rational approximation: Improvement of time responses of MSBL based approximate fractional order derivative operators by using gradient descent optimization

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dc.authoridKoseoglu, Murat/0000-0003-3774-1083
dc.authorwosidKoseoglu, Murat/ABG-8975-2020
dc.contributor.authorKoseoglu, Murat
dc.date.accessioned2024-08-04T20:51:57Z
dc.date.available2024-08-04T20:51:57Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractFractional calculus has become a popular topic in recent years. Its applications have been seen frequently in the analysis and solution of many engineering problems. Since, the exact realization of fractional order (FO) operators is not computationally feasible, several integer order approximations methods such as Oustaloup, Matsuda, Curve Fitting, modified stability boundary locus (MSBL) are utilized for frequency domain approximation of FO operators. These methods present advantages in frequency response approximation. However, real-world engineering applications require more accurate time responses to implement FO operators. Thus, any improvement in the approximate transfer function of FO systems will positively contribute to realization performance of FO system models in real-world applications. In this work, time responses of MSBL based approximate FO derivative models are improved by using gradient descent optimization (GDO) technique. Frequency domain approximation methods do not guarantee optimal approximation performance for the step response of FO elements. To deal with this weakness, author proposes a new GDO based rational approximation scheme that can considerably enhance the step response performance of MSBL method without deteriorating frequency response approximation performance. Results for the improved approximate FO model obtained by GDO (GDO-MSBL) are compared with the results of approximate FO models for popular FO approximation methods. The analog circuit realization is performed for the derivative operator, and the performance improvements for the proposed method are shown on the FO-PID controller and FO filter. (C) 2022 Karabuk University. Publishing services by Elsevier B.V.en_US
dc.identifier.doi10.1016/j.jestch.2022.101167
dc.identifier.issn2215-0986
dc.identifier.scopus2-s2.0-85130507005en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.jestch.2022.101167
dc.identifier.urihttps://hdl.handle.net/11616/100665
dc.identifier.volume35en_US
dc.identifier.wosWOS:000892526300015en_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/closedAccessen_US
dc.subjectGradient descent optimizationen_US
dc.subjectMSBL approximation methoden_US
dc.subjectFractional order operatoren_US
dc.subjectAnalog realizationen_US
dc.titleTime response optimal rational approximation: Improvement of time responses of MSBL based approximate fractional order derivative operators by using gradient descent optimizationen_US
dc.typeArticleen_US

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