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

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 , whereas 0 < < 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 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

Keywords

fractional-order calculus, Oustaloup approximation, analogue circuit design

Citation

Proceedings 10th International Congress on Ultra Modern Telecommunications and Control Systems - ICUMT 2018. 2018, p. 1-4.
https://ieeexplore.ieee.org/document/8631227

Document type

Peer-reviewed

Document version

Accepted version

Language of document

en

Document licence

(C) IEEE