Analog Implementation of Fractional-Order Elements and Their Applications

dc.contributor.authorKartci, Aslihancs
dc.date.accessioned2019-11-25T11:54:30Z
dc.date.available2019-11-25T11:54:30Z
dc.date.issued2019-06-24cs
dc.description.abstractWith advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world phenomenon more accurately than via classical “integer” methods. Moreover, their additional degree of freedom allows researchers to design accurate and more robust systems that would be impractical or impossible to implement with conventional capacitors. Throughout this thesis, a wide range of problems associated with analog circuit design of fractional-order systems are covered: passive component optimization of resistive-capacitive and resistive-inductive type fractional-order elements, realization of active fractional-order capacitors (FOCs), analog implementation of fractional-order integrators, robust fractional-order proportional-integral control design, investigation of different materials for FOC fabrication having ultra-wide frequency band, low phase error, possible low- and high-frequency realization of fractional-order oscillators in analog domain, mathematical and experimental study of solid-state FOCs in series-, parallel- and interconnected circuit networks. Consequently, the proposed approaches in this thesis are important considerations in beyond the future studies of fractional dynamic systems.en
dc.formattextcs
dc.format.extent1-32cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.other159511cs
dc.identifier.urihttp://hdl.handle.net/11012/181088
dc.language.isoencs
dc.relation.urihttps://www.vutbr.cz/www_base/zav_prace_soubor_verejne.php?file_id=194284cs
dc.rights(C)cs
dc.rights.accessopenAccesscs
dc.subjectAnalog integrated circuiten
dc.subjectcircuit connectionsen
dc.subjectfabricationen
dc.subjectfractional calculusen
dc.subjectfractional-order capacitoren
dc.subjectfractional-order derivativeen
dc.subjectfractional-order deviceen
dc.subjectfractional-order elementen
dc.subjectfractionalorder inductoren
dc.subjectfractional-order integratoren
dc.subjectfractional-order systemen
dc.subjectfractional-order oscillatoren
dc.subjectsolid-state fractional-order capacitor.en
dc.titleAnalog Implementation of Fractional-Order Elements and Their Applicationsen
dc.type.driverotheren
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-159511en
sync.item.dbtypeVAVen
sync.item.insts2020.03.31 00:57:57en
sync.item.modts2020.03.30 22:57:35en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav radioelektronikycs
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