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Algebraic methods in autotuning design: Implementation and simulations

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dc.title Algebraic methods in autotuning design: Implementation and simulations en
dc.contributor.author Prokop, Roman
dc.contributor.author Korbel, Jiří
dc.contributor.author Matušů, Radek
dc.relation.ispartof Advances in Intelligent Systems and Computing
dc.relation.ispartof Intelligent Systems in Cybernetics and Automation Theory, Vol 2
dc.identifier.issn 2194-5357 Scopus Sources, Sherpa/RoMEO, JCR
dc.identifier.isbn 9783319185026
dc.date.issued 2015
utb.relation.volume 348
dc.citation.spage 79
dc.citation.epage 89
dc.event.title 4th Computer Science On-line Conference, CSOC 2015
dc.event.location online
utb.event.state-en Czech Republic
utb.event.state-cs Česká republika
dc.event.sdate 2015-04-27
dc.event.edate 2015-04-30
dc.type conferenceObject
dc.language.iso en
dc.publisher Springer Verlag
dc.identifier.doi 10.1007/978-3-319-18503-3_8
dc.relation.uri https://link.springer.com/chapter/10.1007/978-3-319-18503-3_8
dc.subject Algebraic control design en
dc.subject Autotuning en
dc.subject Diophantine equation en
dc.subject Pole-placement problem en
dc.subject Relay experiment en
dc.description.abstract Autotuners represent a combination of a relay feedback identification test and some control design method. In this contribution, models with up to three parameters are estimated by means of a single asymmetrical relay experiment. Then a stable low order transfer function with a time delay term is identified by a relay experiment. Autotuning principles then combine asymmetrical relay feedback tests with a control synthesis. Two algebraic control syntheses then are presented in this paper. The first one is based on the ring of proper and stable rational functions RPS. The second one utilizes a special ring RMS, a set of RQ-meromorphic functions. In both cases, controller parameters are derived through a general solution of a linear Diophantine equation in the appropriate ring. A final controller can be tuned by a scalar real parameter m>0. The presented philosophy covers a generalization of PID controllers and the Smith-like control structure. This contribution deals with the implementation of proposed autotuners and presents some illustrative examples. A Matlab toolbox for automatic design and simulation was developed and various simulations performed and analyzed. © Springer International Publishing Switzerland 2015. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1005715
utb.identifier.obdid 43873789
utb.identifier.scopus 2-s2.0-84944463192
utb.identifier.wok 000364987600008
utb.source d-scopus
dc.date.accessioned 2015-11-12T11:40:55Z
dc.date.available 2015-11-12T11:40:55Z
utb.identifier.utb-sysno 85262
utb.contributor.internalauthor Prokop, Roman
utb.contributor.internalauthor Korbel, Jiří
utb.contributor.internalauthor Matušů, Radek
utb.fulltext.affiliation Roman Prokop, Jiří Korbel, and Radek Matušů Tomas Bata University in Zlín, Faculty of applied informatics Nad Stráněmi 4511, 760 05 Zlín, Czech Republic prokop@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.sponsorship The work was performed with financial support of research project NPU I No. MSMT-7778/2014 by the Ministry of Education of the Czech Republic and also by the European Regional Development Fund under the Project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089.
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