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A simple DDS algorithm for TDS: An example

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dc.title A simple DDS algorithm for TDS: An example en
dc.contributor.author Pekař, Libor
dc.relation.ispartof Proceedings - 29th European Conference on Modelling and Simulation, ECMS 2015
dc.identifier.isbn 9780993244001
dc.date.issued 2015
dc.citation.spage 246
dc.citation.epage 251
dc.event.title 29th European Conference on Modelling and Simulation, ECMS 2015
dc.event.location Varna
utb.event.state-en Bulgaria
utb.event.state-cs Bulharsko
dc.event.sdate 2015-05-26
dc.event.edate 2015-05-29
dc.type conferenceObject
dc.language.iso en
dc.publisher European Council for Modelling and Simulation (ECMS)
dc.identifier.doi 10.7148/2015-0246
dc.relation.uri http://www.scs-europe.net/dlib/2015/2015-0246.htm
dc.relation.uri http://www.scs-europe.net/dlib/2015/ecms2015acceptedpapers/0246-mct_ECMS2015_0007.pdf
dc.subject Delay dependent stability en
dc.subject MATLAB® en
dc.subject Model rationalization en
dc.subject Multiple time delay system en
dc.subject Taylor series expansion en
dc.description.abstract This paper is aimed at the presentation and simulation verification of a novel simple and fast delay dependent stability (DDS) testing algorithm for linear time-invariant time delay systems (LTI TDS). The algorithm can be used for systems with multiple delays and/or those with many controller parameters. Value ranges of delays and tunable parameters decide about the (exponential) stability of LTI TDS and the goal is to determine such ranges that might not be convex. Our numerical gridding iterative DDS algorithm is based on the finite dimensional approximation of the characteristic quasipolynomial by means of the Taylor series expansion or a Padé-like approach followed by the Regula-Falsi result enhancement. Stability regions are sought through the determination of crossing delays (or parameters) which cause the system stability switching. Numerical simulation experiments performed in MATLAB® environment prove a sufficient accuracy and the practical usability of the proposed DDS algorithm. © ECMS Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova (Editors). en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1005298
utb.identifier.obdid 43873828
utb.identifier.scopus 2-s2.0-84938723488
utb.source d-scopus
dc.date.accessioned 2015-09-09T15:16:31Z
dc.date.available 2015-09-09T15:16:31Z
utb.contributor.internalauthor Pekař, Libor
utb.fulltext.affiliation Libor Pekař Tomas Bata University in Zlín Faculty of Applied Informatic, Department of Automation and Control Engineering Nad Stráněmi 4511, 76005 Zlín, Czech Republic E-mail: pekar@fai.utb.cz
utb.fulltext.dates -
utb.fulltext.faculty Faculty of Applied Informatic
utb.fulltext.ou Department of Automation and Control Engineering
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