H-∞ Norm Based Robustly Stabilizing PI-PD Controller Design for the Unstructured Uncertainty Modelling

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dc.contributor.authorMenak, Ramazan
dc.contributor.authorTan, Nusret
dc.date.accessioned2026-04-04T13:35:17Z
dc.date.available2026-04-04T13:35:17Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractThe design of effective control systems in real-world applications is frequently complicated by system uncertainties and the limitations of conventional controllers. While widely adopted, proportional-integral-derivative controllers often struggle with complex processes such as unstable, integrating, or oscillating systems, particularly in the presence of uncertainties. The proportional integral-proportional derivative (PI-PD) controller structure offers a more robust four-parameter framework that provides superior control capabilities for these challenging systems. However, determining the optimal values or regions for these four tuning parameters remains a significant and complex challenge, especially when systems include various forms of uncertainty. This paper addresses the identification of the region containing all PI-PD controllers that robustly stabilize systems subjected to unstructured uncertainty, using H-infinity norm robust stability conditions. The proposed study is based on the graphical representation of the nominal stability boundary locus and robust stability boundary locus in the (kd-kf)-plane for the inner loop and the (kp-ki)-plane for the outer loop. The methodology is systematically outlined and illustrated with an example. Furthermore, stability analyses are conducted visually using Nyquist envelopes and uncertainty discs.
dc.identifier.doi10.1007/s13369-025-10560-9
dc.identifier.issn2193-567X
dc.identifier.issn2191-4281
dc.identifier.orcid0000-0003-3223-4808
dc.identifier.orcid0000-0002-1285-1991
dc.identifier.scopus2-s2.0-105014085205
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s13369-025-10560-9
dc.identifier.urihttps://hdl.handle.net/11616/109755
dc.identifier.wosWOS:001556293600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofArabian Journal For Science and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250329
dc.subjectH-infinity norm
dc.subjectPI-PD control
dc.subjectRobust control
dc.subjectRobust stability condition
dc.subjectStability boundary locus
dc.subjectUnstructured uncertainty
dc.titleH-∞ Norm Based Robustly Stabilizing PI-PD Controller Design for the Unstructured Uncertainty Modelling
dc.typeArticle

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