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Čech Martin and Mertl Jiří and Schlegel Miloš : Optimal filters for continuous approximation of fractional integro-differential operators . Proceedings of 9th International Carpathian Control Conference ICCC'08, vol. ;, p. 422-425, University of Craiova, Sinaia, Rumunsko, 2008.

Abstract

In the last decades, there is a boom of fractional calculus (FC) applications in many technical areas including process control. The generalization to integrals and derivatives of arbitrary fractional order (FO) simplifies several problems especially in frequency domain. Due to implementation aspects, switching into time domain is quite difficult. There exist several global approximation methods which approximate the ideal integro-differential operator on a given frequency interval by continuous integer order zero/pole transfer function. Charef's and Oustaloup's methods are typical representatives. They generate periodical zero/pole positions. Unfortunately, the quality obtained is not sufficient namely for low order approximating filters. This paper summarizes the results of numerical optimization of zero/pole positions. Finally, the presented results were tested in relay autotuner.

Detail of publication

Title: Optimal filters for continuous approximation of fractional integro-differential operators
Author: Čech Martin ; Mertl Jiří ; Schlegel Miloš
Language: English
Year: 2008
Type of publication: Papers in proceedings of reviewed conferences
Title of journal or book: Proceedings of 9th International Carpathian Control Conference ICCC'08
Číslo vydání: ;
Page: 422 - 425
ISBN: 978-973-746-897-0
Publisher: University of Craiova
Address: Sinaia, Rumunsko
Date: 28 May 2008
2011-03-15 16:21:30 / 2011-03-15 16:21:30 / 1

Keywords

Fractional calculus, fractional-order integrator, optimal approximation, constant-phase filter

BibTeX

@INPROCEEDINGS{CechMartin_2008_Optimalfiltersfor,
 author = {\v{C}ech Martin and Mertl Ji\v{r}\'{i} and Schlegel Milo\v{s}},
 title = {Optimal filters for continuous approximation of fractional integro-differential operators},
 year = {2008},
 publisher = {University of Craiova},
 journal = {Proceedings of  9th International Carpathian Control Conference ICCC'08},
 address = {Sinaia, Rumunsko},
 volume = {;},
 pages = {422-425},
 ISBN = {978-973-746-897-0},
 url = {http://www.kky.zcu.cz/en/publications/CechMartin_2008_Optimalfiltersfor},
}