Analogue realizations of fractional-order controllers

I. Podlubny, I. Petráš, B. M. Vinagre, Paul O'Leary, L. Dorčák

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516 Citations (Scopus)

Abstract

An approach to the design of analogue circuits, implementingfractional-order controllers, is presented. The suggestedapproach is based on the use of continued fraction expansions;in the case of negative coefficients in a continued fractionexpansion, the use of negative impedance converters is proposed.Several possible methods for obtaining suitable rational appromixationsand continued fraction expansions are discussed. An exampleof realization of a fractional-order Iλ controlleris presented and illustrated by obtained measurements.The suggested approach can be used for the control of veryfast processes, where the use of digital controllers isdifficult or impossible.
Original languageEnglish
Pages (from-to)281-296
Number of pages16
JournalNonlinear dynamics : an international journal of nonlinear dynamics and chaos in engineering systems
Volume29.2002
Issue number1-4
DOIs
Publication statusPublished - 1 Jul 2002

Keywords

  • Fractional calculus
  • Fractional differentiation
  • Fractional integration
  • Fractional-order controller
  • Realization

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