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Algebraic methods in autotuning design: Theory and design

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dc.title Algebraic methods in autotuning design: Theory and design en
dc.contributor.author Prokop, Roman
dc.contributor.author Korbel, Jiří
dc.contributor.author Pekař, Libor
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 67
dc.citation.epage 78
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_7
dc.relation.uri https://link.springer.com/chapter/10.1007/978-3-319-18503-3_7
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.subject Smith predictor en
dc.description.abstract The contribution presents a set of single input – output (SISO) principles for the design and tuning of continuous-time controllers for the utilization in autotuning schemes. The emphasis of the design is laid to SISO systems with time delays. Models with up to three parameters can estimated by means of a single relay experiment. Then a stable low order transfer function with a time delay term is identified. 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. The generalization for a two degree of freedom (2DOF) control structure is outlined. 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. The analytical simple rule is derived for aperiodic control response in the RPS case. © Springer International Publishing Switzerland 2015. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1005716
utb.identifier.obdid 43873786
utb.identifier.scopus 2-s2.0-84944460321
utb.identifier.wok 000364987600007
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 Pekař, Libor
utb.fulltext.affiliation Roman Prokop, Jiří Korbel, and Libor Pekař 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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