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Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach

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dc.title Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach en
dc.contributor.author Matušů, Radek
dc.contributor.author Prokop, Roman
dc.relation.ispartof Mathematical Problems in Engineering
dc.identifier.issn 1024-123X Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2015
utb.relation.volume 2015
dc.type article
dc.language.iso en
dc.publisher Hindawi Publishing Corporation
dc.identifier.doi 10.1155/2015/847210
dc.relation.uri http://www.hindawi.com/journals/mpe/2015/847210/
dc.description.abstract The paper deals with a graphical approach to investigation of robust stability for a feedback control loop with an uncertain fractional order time-delay plant and integer order or fractional order controller. Robust stability analysis is based on plotting the value sets for a suitable range of frequencies and subsequent verification of the zero exclusion condition fulfillment. The computational examples present the typical shapes of the value sets of a family of closed-loop characteristic quasipolynomials for a fractional order plant with uncertain gain, time constant, or time-delay term, respectively, and also for combined cases. Moreover, the practically oriented example focused on robust stability analysis of main irrigation canal pool controlled by either classical integer order PID or fractional order PI controller is included as well. © 2015 Radek Matušů and Roman Prokop. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1005684
utb.identifier.obdid 43873859
utb.identifier.scopus 2-s2.0-84942770600
utb.identifier.wok 000362027300001
utb.source j-wok
dc.date.accessioned 2015-11-05T11:27:33Z
dc.date.available 2015-11-05T11:27:33Z
dc.description.sponsorship Ministry of Education of the Czech Republic [MSMT-7778/2014]; European Regional Development Fund [CZ.1.05/2.1.00/03.0089]
dc.rights Attribution-NonCommercial-NoDerivs 3.0 Unported
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.rights.access openAccess
utb.ou CEBIA-Tech
utb.contributor.internalauthor Matušů, Radek
utb.contributor.internalauthor Prokop, Roman
utb.fulltext.affiliation Radek Matušů, Roman Prokop Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, nam. T. G. Masaryka 5555, 760 01 Zlín, Czech Republic Correspondence should be addressed to Radek Matušů; rmatusu@fai.utb.cz
utb.fulltext.dates Received 16 March 2015 Accepted 14 June 2015
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou CEBIA-Tech
utb.fulltext.ou CEBIA-Tech
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