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Conceptual Design of a Selectable Fractional-Order Differentiator for Industrial Applications

dc.affiliation.dptoUC3M. Departamento de Ingeniería de Sistemas y Automáticaes
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Laboratorio de Robótica (Robotics Lab)es
dc.contributor.authorGonzález, Emmanuel A.
dc.contributor.authorDorcák, Lubomir
dc.contributor.authorMonje Micharet, Concepción Alicia
dc.contributor.authorValsa, Juraj
dc.contributor.authorS. Caluyo, Felicito
dc.contributor.authorPetrás, Ivo
dc.date.accessioned2022-11-09T11:22:09Z
dc.date.available2022-11-09T11:22:09Z
dc.date.issued2014-06-26
dc.description.abstractIn the past decade, researchers working on fractional-order systems modeling and control have been considering working on the design and development of analog and digital fractional-order differentiators, i.e. circuits that can perform non-integer-order differentiation. It has been one of the major research areas under such field due to proven advantages over its integer-order counterparts. In particular, traditional integer-order proportional-integral-derivative (PID) controllers seem to be outperformed by fractional-order PID (FOPID or PIlambdaDmu) controllers. Many researches have emerged presenting the possibility of designing analog and digital fractional-order differentiators, but only restricted to a fixed order. In this paper, we present the conceptual design of a variable fractional-order differentiator in which the order can be selected from 0 to 1 with an increment of 0.05. The analog conceptual design utilizes operational amplifiers and resistor-capacitor ladders as main components, while a generic microcontroller is introduced for switching purposes. Simulation results through Matlab and LTSpiceIV show that the designed resistor-capacitor ladders can perform as analog fractional-order differentiation.en
dc.description.sponsorshipThis work was in part supported by grants VEGA 1/0552/14, 1/0729/12, 1/2578/12, 1/0497/11, and APVV-0482-11 from the Slovak Grant Agency, and the Slovak Research and Development Agency, respectively.en
dc.format.extent20
dc.identifier.bibliographicCitationGonzalez, E. A., Dorčák, U., Monje, C. A., Valsa, J., Caluyo, F. S. & Petráš, I. (2014). Conceptual design of a selectable fractional-order differentiator for industrial applications. Fractional Calculus and Applied Analysis, 17(3), 697-716.
dc.identifier.doihttps://doi.org/10.2478/s13540-014-0195-z
dc.identifier.issn1311-0454
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue3
dc.identifier.publicationlastpage20
dc.identifier.publicationtitleFractional Calculus and Applied Analysisen
dc.identifier.publicationvolume17
dc.identifier.urihttps://hdl.handle.net/10016/35991
dc.identifier.uxxiAR/0000031352
dc.language.isoeng
dc.publisherSpringer
dc.rights© 2014 Diogenes Co., Sofia
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherFractional calculusen
dc.subject.otherFractional-order differentiatoren
dc.subject.otherFractional-order controlleren
dc.subject.otherMatlaben
dc.titleConceptual Design of a Selectable Fractional-Order Differentiator for Industrial Applicationsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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