Calculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertainty

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dc.authoridPekar, Libor/0000-0002-2401-5886
dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authorwosidMatuš?, Radek/HPH-8692-2023
dc.authorwosidPekar, Libor/H-6373-2012
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorMatusu, Radek
dc.contributor.authorSenol, Bilal
dc.contributor.authorPekar, Libor
dc.date.accessioned2024-08-04T20:51:56Z
dc.date.available2024-08-04T20:51:56Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis article deals with the calculation of all robustly relatively stabilizing (or robustly stabilizing as a special case) Proportional-Integral-Derivative (PID) controllers for Linear Time-Invariant (LTI) systems with unstructured uncertainty. The presented method is based on plotting the envelope that corresponds to the trios of P-I-D parameters marginally complying with given robust stability or robust relative stability condition formulated by means of the H infinity norm. Thus, this approach enables obtaining the region of robustly stabilizing or robustly relatively stabilizing controllers in a P-I-D space. The applicability of the technique is demonstrated in the illustrative examples, in which the regions of robustly stabilizing and robustly relatively stabilizing PID controllers are obtained for a controlled plant model with unstructured multiplicative uncertainty and unstructured additive uncertainty. Moreover, the method is also verified on the real laboratory model of a hot-air tunnel, for which two representative controllers from the robust relative stability region are selected and implemented.en_US
dc.description.sponsorshipCzech Science Foundation (GACR); [21-45465L]en_US
dc.description.sponsorshipThis work was supported by the Czech Science Foundation (GACR) under Grant No. 21-45465L.en_US
dc.identifier.doi10.1016/j.isatra.2022.04.037
dc.identifier.endpage597en_US
dc.identifier.issn0019-0578
dc.identifier.issn1879-2022
dc.identifier.pmid35562306en_US
dc.identifier.scopus2-s2.0-85129925443en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage579en_US
dc.identifier.urihttps://doi.org/10.1016/j.isatra.2022.04.037
dc.identifier.urihttps://hdl.handle.net/11616/100644
dc.identifier.volume131en_US
dc.identifier.wosWOS:000904647900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofIsa Transactionsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRobust controlen_US
dc.subjectRobust relative stabilityen_US
dc.subjectRobust stabilityen_US
dc.subjectRobust performanceen_US
dc.subjectPID controllersen_US
dc.subjectUnstructured uncertaintyen_US
dc.subjectH-infinity normen_US
dc.titleCalculation of robustly relatively stabilizing PID controllers for linear time-invariant systems with unstructured uncertaintyen_US
dc.typeArticleen_US

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