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Design of robust PI controllers for interval plants with worst-case gain and phase margin specifications in presence of multiple crossover frequencies

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dc.title Design of robust PI controllers for interval plants with worst-case gain and phase margin specifications in presence of multiple crossover frequencies en
dc.contributor.author Matušů, Radek
dc.contributor.author Şenol, Bilal
dc.contributor.author Alagoz, Baris Baykant
dc.contributor.author Pekař, Libor
dc.relation.ispartof IEEE Access
dc.identifier.issn 2169-3536 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2022
utb.relation.volume 10
dc.citation.spage 67713
dc.citation.epage 67726
dc.type article
dc.language.iso en
dc.publisher IEEE
dc.identifier.doi 10.1109/ACCESS.2022.3186330
dc.relation.uri https://ieeexplore.ieee.org/document/9807284
dc.subject PI control en
dc.subject control systems en
dc.subject uncertainty en
dc.subject mathematical models en
dc.subject thermal stability en
dc.subject feedback control en
dc.subject aircraft en
dc.subject gain margin en
dc.subject interval plant en
dc.subject multiple crossover frequencies en
dc.subject oblique wing aircraft en
dc.subject phase margin en
dc.subject PI controllers en
dc.subject robust control en
dc.subject robust performance en
dc.description.abstract This article deals with the computation of robustly performing Proportional-Integral (PI) controllers for interval plants, where the performance measures are represented by the worst-case Gain Margin (GM) and Phase Margin (PM) specifications, in the event of multiple Phase Crossover Frequencies (PCFs) and/or Gain Crossover Frequencies (GCFs). The multiplicity of PCFs and GCFs poses a considerable complication in frequency-domain control design methods. The paper is a continuation of the authors' previous work that applied the robust PI controller design approach to a Continuous Stirred Tank Reactor (CSTR). This preceding application represented the system with a single PCF and a single GCF, but the current article focuses on a case of multiple PCFs and GCFs. The determination of a robust performance region in the P-I plane is based on the stability/performance boundary locus method and the sixteen plant theorem. In the illustrative example, a robust performance region is obtained for an experimental oblique wing aircraft that is mathematically modeled as the unstable interval plant. The direct application of the method results in the (pseudo-)GM and (pseudo-)PM regions that "illogically" protrude from the stability region. Consequently, a deeper analysis of the selected points in the P-I plane shows that the calculated GM and PM boundary loci are related to the numerically correct values, but that the results may be misleading, especially for the loci outside the stability region, due to the multiplicity of the PCFs and GCFs. Nevertheless, the example eventually shows that the important parts of the GM and PM regions, i.e., the parts that have an impact on the final robust performance region, are valid. Thus, the method is applicable even to unstable interval plants and to the control loops with multiple PCFs and GCFs. en
utb.faculty Faculty of Applied Informatics
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1011043
utb.identifier.obdid 43884074
utb.identifier.scopus 2-s2.0-85133811581
utb.identifier.wok 000819814900001
utb.source J-wok
dc.date.accessioned 2022-07-13T14:42:43Z
dc.date.available 2022-07-13T14:42:43Z
dc.rights Attribution 4.0 International
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.rights.access openAccess
utb.ou CEBIA-Tech
utb.ou Department of Automation and Control Engineering
utb.contributor.internalauthor Matušů, Radek
utb.contributor.internalauthor Pekař, Libor
utb.fulltext.affiliation RADEK MATUŠŮ 1, BILAL ŞENOL 2, BARIS BAYKANT ALAGOZ 2, AND LIBOR PEKAŘ 3 1 Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, 760 01 Zlín, Czech Republic 2 Department of Computer Engineering, Faculty of Engineering, Inonu University, 44280 Malatya, Turkey 3 Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, 760 01 Zlín, Czech Republic Corresponding author: Radek Matušů (rmatusu@utb.cz)
utb.fulltext.dates Received 25 May 2022 accepted 20 June 2022 date of publication 27 June 2022 date of current version 30 June 2022
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utb.fulltext.sponsorship -
utb.wos.affiliation [Matusu, Radek] Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, Zlin 76001, Czech Republic; [Senol, Bilal; Alagoz, Baris Baykant] Inonu Univ, Fac Engn, Dept Comp Engn, TR-44280 Malatya, Turkey; [Pekar, Libor] Tomas Bata Univ Zlin, Fac Appl Informat, Dept Automat & Control Engn, Zlin 76001, Czech Republic
utb.scopus.affiliation Tomas Bata University in Zlín, Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Zlín, 760 01, Czech Republic; Inonu University, Faculty of Engineering, Department of Computer Engineering, Malatya, 44280, Turkey; Tomas Bata University in Zlín, Faculty of Applied Informatics, Department of Automation and Control Engineering, Zlín, 760 01, Czech Republic
utb.fulltext.projects -
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou CEBIA-Tech
utb.fulltext.ou Department of Automation and Control Engineering
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