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

Basit Öğe Kaydı
dc.authoridAlagoz, Baris Baykant/0000-0001-5238-6433
dc.authoridKoseoglu, Murat/0000-0003-3774-1083
dc.authorwosidAlagoz, Baris Baykant/ABG-8526-2020
dc.contributor.authorKöseoğlu, Murat
dc.contributor.authorDeniz, Furkan Nur
dc.contributor.authorAlagöz, Barış Baykant
dc.contributor.authorAlisoy, Hafız
dc.date.accessioned2023-04-20T08:04:14Z
dc.date.available2023-04-20T08:04:14Z
dc.date.issued2022
dc.departmentFakülteler, Çorlu Mühendislik Fakültesi, Elektronik ve Haberleşme Mühendisliği Bölümü
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.
dc.identifier.doi10.1016/j.jestch.2021.10.001
dc.identifier.issn2215-0986
dc.identifier.scopus2-s2.0-85122685797
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.jestch.2021.10.001
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11033
dc.identifier.volume33
dc.identifier.wosWOS:000807494300006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAlisoy, Hafız
dc.language.isoen
dc.publisherElsevier - Division Reed Elsevier India Pvt Ltd
dc.relation.ispartofEngineering Science and Technology-An International Journal-Jestech
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFractional Order Derivative
dc.subjectApproximate Realization
dc.subjectAnalog Circuit Design
dc.subjectSystem-Identification
dc.subjectImplementation
dc.subjectDifferentiators
dc.subjectRealization
dc.subjectIntegrators
dc.subjectController
dc.subjectDynamics
dc.subjectTime
dc.titleAn effective analog circuit design of approximate fractional-order derivative models of M-SBL fitting method
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
11033.pdf
Boyut:
3.5 MB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
Çorlu Mühendislik Fakültesi Koleksiyonu