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

Matušů, Radek; Senol, Bilal; Pekař, Libor

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)