Detail publikace

Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits

KOTON, J. STAVNESLI, J. FREEBORN, T.

Originální název

Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits

Anglický název

Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits

Jazyk

en

Originální abstrakt

The description and definition of various systems using fractional-order calculus continues to gain attention in a variety of field of engineering. This is especially true for the design of analogue function blocks, where the factional-order Laplace operator s α , whereas 0 < α < 1, is frequently used to design the fractional to design the transfer functions of these blocks. In this paper we focus on analysing the Oustaloup approximation of s α to provide a tool that can support selecting the appropriate approximation to obtain a response that satisfies the designers’ requirements of approximation error in magnitude and/or phase in a specific frequency range for the minimal possible order N of the approximation

Anglický abstrakt

The description and definition of various systems using fractional-order calculus continues to gain attention in a variety of field of engineering. This is especially true for the design of analogue function blocks, where the factional-order Laplace operator s α , whereas 0 < α < 1, is frequently used to design the fractional to design the transfer functions of these blocks. In this paper we focus on analysing the Oustaloup approximation of s α to provide a tool that can support selecting the appropriate approximation to obtain a response that satisfies the designers’ requirements of approximation error in magnitude and/or phase in a specific frequency range for the minimal possible order N of the approximation

Dokumenty

BibTex 


@inproceedings{BUT151272,
  author="Jaroslav {Koton} and Jorgen Hagset {Stavnesli} and Todd {Freeborn}",
  title="Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits",
  annote="The description and definition of various systems using fractional-order calculus continues to gain attention in a variety of field of engineering. This is especially true for the design of analogue function blocks, where the factional-order Laplace operator s α , whereas 0 < α < 1, is frequently used to design the fractional to design the transfer functions of these blocks. In this paper we focus on analysing the Oustaloup approximation of s α to provide a tool that can support selecting the appropriate approximation to obtain a response that satisfies
the designers’ requirements of approximation error in magnitude and/or phase in a specific frequency range for the minimal possible order N of the approximation",
  booktitle="in Proc. 0th International Congress on Ultra Modern Telecommunications and Control Systems - ICUMT 2018",
  chapter="151272",
  doi="10.1109/ICUMT.2018.8631227",
  howpublished="electronic, physical medium",
  year="2018",
  month="november",
  pages="1--4",
  type="conference paper"
}