Probabilistic robust stabilization of fractional order systems with interval uncertainty

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dc.authoridAlagoz, Baris Baykant/0000-0001-5238-6433
dc.authoridATES, Abdullah/0000-0002-4236-6794
dc.authoridYeroglu, Celaleddin/0000-0002-6106-2374
dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authorwosidYeroglu, Celaleddin/ABG-9572-2020
dc.authorwosidAlagoz, Baris Baykant/ABG-8526-2020
dc.authorwosidATES, Abdullah/V-6929-2018
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorAlagoz, Baris Baykant
dc.contributor.authorYeroglu, Celaleddin
dc.contributor.authorSenol, Bilal
dc.contributor.authorAtes, Abdullah
dc.date.accessioned2024-08-04T20:41:36Z
dc.date.available2024-08-04T20:41:36Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis study investigates effects of fractional order perturbation on the robust stability of linear time invariant systems with interval uncertainty. For this propose, a probabilistic stability analysis method based on characteristic root region accommodation in the first Riemann sheet is developed for interval systems. Stability probability distribution is calculated with respect to value of fractional order. Thus, we can figure out the fractional order interval, which makes the system robust stable. Moreover, the dependence of robust stability on the fractional order perturbation is analyzed by calculating the order sensitivity of characteristic polynomials. This probabilistic approach is also used to develop a robust stabilization algorithm based on parametric perturbation strategy. We present numerical examples demonstrating utilization of stability probability distribution in robust stabilization problems of interval uncertain systems. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.isatra.2015.01.003
dc.identifier.endpage110en_US
dc.identifier.issn0019-0578
dc.identifier.issn1879-2022
dc.identifier.pmid25666102en_US
dc.identifier.scopus2-s2.0-84959852844en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage101en_US
dc.identifier.urihttps://doi.org/10.1016/j.isatra.2015.01.003
dc.identifier.urihttps://hdl.handle.net/11616/97209
dc.identifier.volume57en_US
dc.identifier.wosWOS:000358625200011en_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/closedAccessen_US
dc.subjectFractional order systemen_US
dc.subjectRobust stability analysisen_US
dc.subjectSystem stabilizationen_US
dc.subjectFractional order sensitivityen_US
dc.titleProbabilistic robust stabilization of fractional order systems with interval uncertaintyen_US
dc.typeArticleen_US

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