Rational Approximation 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

Rational Approximation of Time Delay

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Rational Approximation of Time Delay

Popis výsledku anglicky

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.

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

2009

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings 17th Annual Conference Technical Computing Prague 2009

ISBN

978-80-7080-733-0

ISSN

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e-ISSN

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Počet stran výsledku

7

Strana od-do

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Název nakladatele

Humusoft

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

19. 11. 2009

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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