Comparison of Rational Approximations of Time Delay

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of Rational Approximations of Time Delay

Popis výsledku v původním jazyce

Real dynamical systems often show some time lag between a change of an input and the corresponding change of the output. This time lag has a whole range of causes. For needs of mathematical modelling, it is aggregated into a total phenomenon called timedelay or dead time. If a real system with time delay is modelled as a time invariant linear system, its transfer function (rational function) becomes due to time delay a transcendental function. Most of methods used for analysis and synthesis of controlsystems are developed for transfer functions in the form of rational functions only. If these methods have to be used also for dynamical systems with time delay then it is necessary to approximate transfer functions of time delay by means of rational functions. Approximations usually use either Padé approximation or Taylor series of the exponential function. A simple modification of Padé approximation is given in the contribution. It improves its time behaviour not only close to the orig

Název v anglickém jazyce

Comparison of Rational Approximations of Time Delay

Popis výsledku anglicky

Real dynamical systems often show some time lag between a change of an input and the corresponding change of the output. This time lag has a whole range of causes. For needs of mathematical modelling, it is aggregated into a total phenomenon called timedelay or dead time. If a real system with time delay is modelled as a time invariant linear system, its transfer function (rational function) becomes due to time delay a transcendental function. Most of methods used for analysis and synthesis of controlsystems are developed for transfer functions in the form of rational functions only. If these methods have to be used also for dynamical systems with time delay then it is necessary to approximate transfer functions of time delay by means of rational functions. Approximations usually use either Padé approximation or Taylor series of the exponential function. A simple modification of Padé approximation is given in the contribution. It improves its time behaviour not only close to the orig

Druh

D - Stať ve sborníku

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

39th International Conference of Slovak Society of Chemical Engineering

ISBN

978-80-89475-04-9

ISSN

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e-ISSN

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Počet stran výsledku

7

Strana od-do

647-653

Název nakladatele

Slovak Society of Chemical Engineering

Místo vydání

Bratislava

Místo konání akce

Tatranské Matliare

Datum konání akce

21. 5. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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