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Optimal filters for continuous approximation of fractional integro-differential operators

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F08%3A00500010" target="_blank" >RIV/49777513:23520/08:00500010 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Optimal filters for continuous approximation of fractional integro-differential operators

  • Original language 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 infrequency 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 integerorder 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.

  • Czech name

    Optimální ffiltry pro spojitou aproximaci integro-diferenciálních operátorů neceločíselného řádu

  • Czech description

    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 testoványv reléovém autotuneru.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/FI-IM3%2F056" target="_blank" >FI-IM3/056: Industrial controllers autotuning methods and algorithms and their implementation to the ZAT-Plant Suite MP control system.</a><br>

  • Continuities

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

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of 9th International Carpathian Control Conference ICCC'08

  • ISBN

    978-973-746-897-0

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

  • Publisher name

    University of Craiova

  • Place of publication

    Craiova

  • Event location

    Sinaia, Rumunsko

  • Event date

    May 28, 2008

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article