Optimal Continuous Approximation of Basic Fractional Elements: Theory and Applications

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Optimal Continuous Approximation of Basic Fractional Elements: Theory and Applications
Original language description
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
Czech name
—
Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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
—
Number of pages
6
Pages from-to
7051-7056
Publisher name
IEEE
Place of publication
Orlando, Florida, USA
Event location
Orlando, Florida, USA
Event date
Dec 12, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000303506207111

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