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Robust stability of fractional-order linear time-invariant systems: Parametric versus Unstructured Uncertainty Models

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dc.title Robust stability of fractional-order linear time-invariant systems: Parametric versus Unstructured Uncertainty Models en
dc.contributor.author Matušů, Radek
dc.contributor.author Senol, Bilal
dc.contributor.author Pekař, Libor
dc.relation.ispartof Complexity
dc.identifier.issn 1076-2787 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2018
dc.type article
dc.language.iso en
dc.publisher Wiley-Hindawi
dc.identifier.doi 10.1155/2018/8073481
dc.relation.uri https://www.hindawi.com/journals/complexity/2018/8073481/
dc.description.abstract The main aim of this paper is to present and compare three approaches to uncertainty modeling and robust stability analysis for fractional-order (FO) linear time-invariant (LTI) single-input single-output (SISO) uncertain systems. The investigated objects are described either via FO models with parametric uncertainty, by means of FO unstructured multiplicative uncertainty models, or through FO unstructured additive uncertainty models, while the unstructured models are constructed on the basis of appropriate selection of a nominal plant and a weight function. Robust stability investigation for systems with parametric uncertainty uses the combination of plotting the value sets and application of the zero exclusion condition. For the case of systems with unstructured uncertainty, the graphical interpretation of the utilized robust stability test is based mainly on the envelopes of the Nyquist diagrams. The theoretical foundations are followed by two extensive, illustrative examples where the plant models are created; the robust stability of feedback control loops is analyzed, and obtained results are discussed. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1008214
utb.identifier.obdid 43878765
utb.identifier.scopus 2-s2.0-85062723014
utb.identifier.wok 000443631700001
utb.source j-wok
dc.date.accessioned 2018-10-03T11:13:03Z
dc.date.available 2018-10-03T11:13:03Z
dc.description.sponsorship European Regional Development Fund under the project CEBIA-Tech Instrumentation [CZ.1.05/2.1.00/19.0376]; Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme [LO1303 (MSMT-7778/2014)]
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.contributor.internalauthor Matušů, Radek
utb.contributor.internalauthor Pekař, Libor
utb.fulltext.affiliation Radek Matušů http://orcid.org/0000-0002-5242-7781 ,1 Bilal Şenol,2 and Libor Pekař http://orcid.org/0000-0002-2401-5886 1 1 Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, Nám. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic 2 Department of Computer Engineering, Faculty of Engineering, Inonu University, 44280 Malatya, Turkey Correspondence should be addressed to Radek Matušů; rmatusu@fai.utb.cz
utb.fulltext.dates Received 14 March 2018; Revised 18 June 2018; Accepted 3 July 2018; Published 23 August 2018
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utb.fulltext.sponsorship The work was supported by the European Regional Development Fund under the project CEBIA-Tech Instrumentation no. CZ.1.05/2.1.00/19.0376 and by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme Project no. LO1303 (MSMT7778/2014). This assistance is very gratefully acknowledged.
utb.wos.affiliation [Matusu, Radek; Pekar, Libor] Tomas Bata Univ Zlin, Fac Appl Informat, Ctr Secur Informat & Adv Technol CEBIA Tech, Nam TG Masaryka 5555, Zlin 76001, Czech Republic; [Senol, Bilal] Inonu Univ, Fac Engn, Dept Comp Engn, TR-44280 Malatya, Turkey
utb.scopus.affiliation Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, Nám. T. G. Masaryka 5555, Zlín, 760 01, Czech Republic; Department of Computer Engineering, Faculty of Engineering, Inonu University, Malatya, 44280, Turkey
utb.fulltext.projects CZ.1.05/2.1.00/19.0376
utb.fulltext.projects LO1303 (MSMT7778/2014)
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