About: Optimal filters for continuous approximation of fractional integro-differential operators

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en) V posledních letech pozorujeme velký nárůst aplikací systémů neceločíselného řádu v automatickém řízení. Článek popisuje optimální filtry nízkého řádu pro spojitou aproximaci integrátorů a derivátorů neceločíselného řádu. Filtry byly prakticky testovány v reléovém autotuneru. (cs)
Title	Optimal filters for continuous approximation of fractional integro-differential operators Optimal filters for continuous approximation of fractional integro-differential operators (en) Optimální ffiltry pro spojitou aproximaci integro-diferenciálních operátorů neceločíselného řádu (cs)
skos:prefLabel	Optimal filters for continuous approximation of fractional integro-differential operators Optimal filters for continuous approximation of fractional integro-differential operators (en) Optimální ffiltry pro spojitou aproximaci integro-diferenciálních operátorů neceločíselného řádu (cs)
skos:notation	RIV/49777513:23520/08:00500010!RIV09-MPO-23520___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(FI-IM3/056)
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Schlegel, Miloš Čech, Martin Mertl, Jiří
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	385069
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/08:00500010
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Fractional calculus; fractional-order integrator; optimal approximation; constant-phase filter (en)
http://linked.open.../riv/klicoveSlovo	Fractional calculus constant-phase filter fractional-order integrator optimal approximation
http://linked.open...ontrolniKodProRIV	[B5413FF8F019]
http://linked.open...v/mistoKonaniAkce	Sinaia, Rumunsko
http://linked.open...i/riv/mistoVydani	Craiova
http://linked.open...i/riv/nazevZdroje	Proceedings of 9th International Carpathian Control Conference ICCC'08
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Industrial controllers autotuning methods and algorithms and their implementation to the ZAT-Plant Suite MP control system.
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Schlegel, Miloš Čech, Martin Mertl, Jiří
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2008-05-28 (xsd:date)
number of pages	4 (xsd:int)
http://purl.org/ne...btex#hasPublisher	University of Craiova
https://schema.org/isbn	978-973-746-897-0
http://localhost/t...ganizacniJednotka	23520

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