Inverse Laplace Transforms of the Fractional Order Transfer Functions

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dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorYuce, Ali
dc.contributor.authorTan, Nusret
dc.date.accessioned2024-08-04T20:47:12Z
dc.date.available2024-08-04T20:47:12Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description11th International Conference on Electrical and Electronics Engineering (ELECO) -- NOV 28-30, 2019 -- Bursa, TURKEYen_US
dc.description.abstractThe history of the fractional calculus goes back to approximately 300 years. In the recent years, it is common to come across fractional calculus in many publications of control systems. The systems with non-integer order of derivative in their differential equations are called fractional order systems. The Laplace transformation of such systems results fractional order transfer functions. However, the inverse Laplace transformation of a fractional order transfer function and its time responses can present a challenge to express analytically. In this work, the first order transfer functions and their fractional cases are considered. Furthermore, approximate inverse Laplace transformation, i.e., time response of the system, is obtained analytically by using MATLAB curve fitting method. These analytical equations are presented in a table for the interval of the fractional orders 0.1 <= alpha <= 0.9. Then the calculations of approximate inverse Laplace transform of a particular transfer function are presented numerically.en_US
dc.description.sponsorshipChamber Elect Engineers Bursa Branch,Bursa Uludag Univ, Dept Elect Elect Engn,Istanbul Tech Univ, Fac Elect & Elect Engn,IEEE Turkey Secten_US
dc.identifier.doi10.23919/eleco47770.2019.8990487
dc.identifier.endpage779en_US
dc.identifier.scopus2-s2.0-85080902109en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage775en_US
dc.identifier.urihttps://doi.org/10.23919/eleco47770.2019.8990487
dc.identifier.urihttps://hdl.handle.net/11616/99206
dc.identifier.wosWOS:000552654100156en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIeeeen_US
dc.relation.ispartof2019 11th International Conference on Electrical and Electronics Engineering (Eleco 2019)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectApproximationen_US
dc.titleInverse Laplace Transforms of the Fractional Order Transfer Functionsen_US
dc.typeConference Objecten_US

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