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Root locus analysis of a retarded quasipolynomial

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dc.title Root locus analysis of a retarded quasipolynomial en
dc.contributor.author Pekař, Libor
dc.relation.ispartof WSEAS Transactions on Systems and Control
dc.identifier.issn 1991-8763 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2011
utb.relation.volume 6
utb.relation.issue 3
dc.citation.spage 79
dc.citation.epage 91
dc.type article
dc.language.iso en
dc.relation.uri http://www.wseas.us/e-library/transactions/control/2011/53-093.pdf
dc.subject retarded quasipolynomials en
dc.subject root locus en
dc.subject stability analysis en
dc.subject time delay systems en
dc.description.abstract Time delay systems (TDS), called hereditary or anisochronic as well, can be frequently found in many engineering problems and they constitute a widespread family of industrial plants. Modelling, identification, stability analysis, stabilization, control, etc. of TDS are challenging and fascinating tasks in modern systems and control theory as well as in academic and industrial applications. One of their possible linear representations in the form of the Laplace transform yields the transfer function expressed as a fraction of quasipolynomials, instead of polynomials, with delay (exponential) terms in denominators. In this contribution, detailed root location analysis of a characteristic retarded quasipolynomial of degree one is presented, which gives rise to the spectrum of a retarded TDS. The presented analysis represents also a powerful tool for controller tuning in pole-placement control algorithms for delayed systems. A simulation example clarifies the results obtained vie proven propositions, lemmas and theorems. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1002683
utb.identifier.rivid RIV/70883521:28140/11:43865523!RIV12-MSM-28140___
utb.identifier.obdid 43865535
utb.identifier.scopus 2-s2.0-80053159179
utb.source j-scopus
dc.date.accessioned 2012-02-10T13:15:30Z
dc.date.available 2012-02-10T13:15:30Z
dc.rights Attribution 4.0 International
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.rights.access openAccess
utb.contributor.internalauthor Pekař, Libor
utb.fulltext.affiliation LIBOR PEKAŘ Department of Automation and Control, Faculty of Applied Informatics Tomas Bata University in Zlín nám. T. G. Masaryka 5555, 76001 Zlín CZECH REPUBLIC pekar@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.sponsorship The author kindly appreciate the financial support which was provided by the Ministry of Education, Youth and Sports of the Czech Republic in the grant No. MSM 708 835 2102 and by the European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089.
utb.fulltext.projects MSM 7088352102
utb.fulltext.projects CZ.1.05/2.1.00/03.0089
utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou Department of Automation and Control
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