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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)
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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)
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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)
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skos:notation
| - RIV/49777513:23520/08:00500010!RIV09-MPO-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/08:00500010
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Fractional calculus; fractional-order integrator; optimal approximation; constant-phase filter (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
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http://linked.open...i/riv/nazevZdroje
| - Proceedings of 9th International Carpathian Control Conference ICCC'08
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Schlegel, Miloš
- Čech, Martin
- Mertl, Jiří
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http://linked.open...vavai/riv/typAkce
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http://linked.open.../riv/zahajeniAkce
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number of pages
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http://purl.org/ne...btex#hasPublisher
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https://schema.org/isbn
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http://localhost/t...ganizacniJednotka
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