About: Rational Approximation of Time Delay

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Real dynamical systems often show some time lag between a change of an input and the change of the corresponding output. This time lag has a whole range of causes. For needs of mathematical modelling it is aggregated into a total phenomenon called the time delay or dead time. Most of methods used for analysis and synthesis of control systems are developed for transfer function in the form of the rational function only (e.g. algebraic methods of determining stability, root locus method, etc.). If these methods have to be used also for dynamical systems with the time delay then it is necessary to approximate the term of time delay by means of the rational function. Approximations usually arise from two basic principles: either Taylor series or Pade approximation of the exponential function. A simple modification of Pade approximation application is given in the contribution further. It improves its time behaviour not only close to the origin but also in longer time ranges. Real dynamical systems often show some time lag between a change of an input and the change of the corresponding output. This time lag has a whole range of causes. For needs of mathematical modelling it is aggregated into a total phenomenon called the time delay or dead time. Most of methods used for analysis and synthesis of control systems are developed for transfer function in the form of the rational function only (e.g. algebraic methods of determining stability, root locus method, etc.). If these methods have to be used also for dynamical systems with the time delay then it is necessary to approximate the term of time delay by means of the rational function. Approximations usually arise from two basic principles: either Taylor series or Pade approximation of the exponential function. A simple modification of Pade approximation application is given in the contribution further. It improves its time behaviour not only close to the origin but also in longer time ranges. (en)
Title	Rational Approximation of Time Delay Rational Approximation of Time Delay (en)
skos:prefLabel	Rational Approximation of Time Delay Rational Approximation of Time Delay (en)
skos:notation	RIV/60461373:22340/09:00022055!RIV10-MSM-22340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6046137306)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Hanta, Vladimír Procházka, Aleš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola chemicko-technologická v Praze / Fakulta chemicko-inženýrská
http://linked.open...dnocenehoVysledku	338149
http://linked.open...ai/riv/idVysledku	RIV/60461373:22340/09:00022055
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	time delay; rational approximation; comparison and modification of Taylor and Pade aproximations (en)
http://linked.open.../riv/klicoveSlovo	rational approximation time delay comparison and modification of Taylor and Pade aproximations
http://linked.open...ontrolniKodProRIV	[0AF8F38FEDAE]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Proceedings 17th Annual Conference Technical Computing Prague 2009
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Procházka, Aleš Hanta, Vladimír
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2009-11-19 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Reakčně-transportní chemicko-inženýrské systémy a jejich dynamické chování, modelování a řízení chemických a biotechnologických procesů
number of pages	7 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Humusoft
https://schema.org/isbn	978-80-7080-733-0
http://localhost/t...ganizacniJednotka	22340

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