HYBRID APPROXIMATION METHOD FOR TIME RESPONSE IMPROVEMENT OF CFE BASED APPROXIMATE FRACTIONAL ORDER DERIVATIVE MODELS BY USING GRADIENT DESCENT ALGORITHM

Basit Öğe Kaydı
dc.contributor.authorKöseoğlu, Murat
dc.contributor.authorDeniz, Furkan Nur
dc.contributor.authorAlagöz, Barış Baykant
dc.date.accessioned2024-08-04T19:54:45Z
dc.date.available2024-08-04T19:54:45Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractDue to its high computational complexity, fractional order (FO) derivative operators have been widely implemented by using rational transfer function approximation methods. Since these methods commonly utilize frequency domain approximation techniques, their time responses may not be prominent for time-domain solutions. Therefore, time response improvements for the approximate FO derivative models can contribute to real-world performance of FO applications. Recent works address the hybrid use of popular frequency-domain approximation methods and time-domain approximation methods to deal with time response performance problems. In this context, this study presents a hybrid approach that implements Continued Fraction Expansion (CFE) method as frequency domain approximation and applies the gradient descent optimization (GDO) for step response improvement of the CFE-based approximate model of FO derivative operators. It was observed that GDO can fine-tune coefficients of CFE-based rational transfer function models, and this hybrid use can significantly improve step and impulse responses of CFE-based approximate models of derivative operators. Besides, we demonstrate analog circuit realization of this optimized transfer function model of the FO derivative element according to the sum of low pass active filters in Multisim and Matlab simulation environments. Performance improvements of hybrid CFE-GDO approximation method were demonstrated in comparison with the stand-alone CFE method.en_US
dc.identifier.doi10.17482/uumfd.1148882
dc.identifier.endpage416en_US
dc.identifier.issn2148-4147
dc.identifier.issn2148-4155
dc.identifier.issue2en_US
dc.identifier.startpage403en_US
dc.identifier.trdizinid1197015en_US
dc.identifier.urihttps://doi.org/10.17482/uumfd.1148882
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1197015
dc.identifier.urihttps://hdl.handle.net/11616/90121
dc.identifier.volume28en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofUludağ Üniversitesi Mühendislik Fakültesi Dergisien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleHYBRID APPROXIMATION METHOD FOR TIME RESPONSE IMPROVEMENT OF CFE BASED APPROXIMATE FRACTIONAL ORDER DERIVATIVE MODELS BY USING GRADIENT DESCENT ALGORITHMen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

TR-Dizin İndeksli Yayınlar Koleksiyonu