Optimal approximation of analog PID controllers of complex fractional-order

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dc.contributor.authorMahata, Shibenducs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorMaione, Guidocs
dc.coverage.issue4cs
dc.coverage.volume26cs
dc.date.issued2023-05-19cs
dc.description.abstractComplex fractional-order (CFO) transfer functions, being more generalized versions of their real-order counterparts, lend greater flexibility to system modeling. Due to the absence of commercial complex-order fractance elements, the implementation of CFO models is challenging. To alleviate this issue, a constrained optimization approach that meets the targeted frequency responses is proposed for the rational approximation of CFO systems. The technique generates stable, {minimum-phase, and real-valued coefficients based approximants}, which are not always feasible for the curve-fitting approach reported in the literature. {Stability and performance studies of the CFO proportional-integral-derivative (CFOPID) controllers for the Podlubny's, the internal model control, and the El-Khazali's forms are considered to demonstrate the feasibility of the proposed technique}. Simulation results highlight that, for a practically reasonable order, all the designs achieve good agreement with the theoretical characteristics. {Performance comparisons with the CFOPID controller approximants determined by the Oustaloup's CFO differentiator based substitution method justify the proposed approach.en
dc.formattextcs
dc.format.extent1566-1593cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractional Calculus and Applied Analysis. 2023, vol. 26, issue 4, p. 1566-1593.en
dc.identifier.doi10.1007/s13540-023-00168-xcs
dc.identifier.issn1311-0454cs
dc.identifier.orcid0000-0002-9504-2275cs
dc.identifier.other183507cs
dc.identifier.researcheridA-6539-2009cs
dc.identifier.scopus23012051100cs
dc.identifier.urihttp://hdl.handle.net/11012/213640
dc.language.isoencs
dc.publisherSpringer Naturecs
dc.relation.ispartofFractional Calculus and Applied Analysiscs
dc.relation.urihttps://link.springer.com/article/10.1007/s13540-023-00168-xcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1311-0454/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectcomplex fractional-order system (primary)en
dc.subjectcomplex fractional-order PID controlleren
dc.subjectapproximationen
dc.subjectconstrained optimizationen
dc.subjectdifferential evolutionen
dc.titleOptimal approximation of analog PID controllers of complex fractional-orderen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-183507en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:42:33en
sync.item.modts2025.01.17 16:37:46en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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