Optimal Continuous Approximation of Basic Fractional Elements: Theory and Applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43916108" target="_blank" >RIV/49777513:23520/11:43916108 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1109/CDC.2011.6160376" target="_blank" >http://dx.doi.org/10.1109/CDC.2011.6160376</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/CDC.2011.6160376" target="_blank" >10.1109/CDC.2011.6160376</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Optimal Continuous Approximation of Basic Fractional Elements: Theory and Applications

Popis výsledku v původním jazyce

In the last two decades, a boom of fractional calculus applications started in many technical areas including automation and process control. The generalization of integrals and derivatives to arbitrary real order (FO - Fractional Order) simplifies solution of many problems especially in frequency domain. Unfortunately, switching into time domain is always quite difficult due to the necessity to approximate fractional elements by integer-order ones. For this purpose, often a high order zero/pole transfer function is employed. This paper extends the authors' previous work and summarizes the results of numerical optimization of zero/pole positions for two important fractional elements: fractional integro-differential operator and fractional pole. The optimization is done on a limited frequency band up to four decades. The quadratic difference between the frequency response of ideal FO element and its zero/pole approximation was taken as an optimality criterion. It is shown, that the opti

Název v anglickém jazyce

Optimal Continuous Approximation of Basic Fractional Elements: Theory and Applications

Popis výsledku anglicky

In the last two decades, a boom of fractional calculus applications started in many technical areas including automation and process control. The generalization of integrals and derivatives to arbitrary real order (FO - Fractional Order) simplifies solution of many problems especially in frequency domain. Unfortunately, switching into time domain is always quite difficult due to the necessity to approximate fractional elements by integer-order ones. For this purpose, often a high order zero/pole transfer function is employed. This paper extends the authors' previous work and summarizes the results of numerical optimization of zero/pole positions for two important fractional elements: fractional integro-differential operator and fractional pole. The optimization is done on a limited frequency band up to four decades. The quadratic difference between the frequency response of ideal FO element and its zero/pole approximation was taken as an optimality criterion. It is shown, that the opti

Druh

D - Stať ve sborníku

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference

ISBN

978-1-61284-801-3

ISSN

0743-1546

e-ISSN

—

Počet stran výsledku

6

Strana od-do

7051-7056

Název nakladatele

IEEE

Místo vydání

Orlando, Florida, USA

Místo konání akce

Orlando, Florida, USA

Datum konání akce

12. 12. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000303506207111