Name
Title | ||
|---|---|---|
Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits. |
Abstract | ||
|---|---|---|
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
<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$s^{\alpha}$</tex>
, whereas
<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$0 < \alpha < 1$</tex>
, 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
<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$s^{\alpha}$</tex>
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
<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$N$</tex>
of the approximation. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/ICUMT.2018.8631227 | ICUMT |
Keywords | Field | DocType |
Bandwidth,Laplace equations,Transfer functions,Approximation methods,Control systems,Tools | Analogue circuits,Applied mathematics,Computer science,Transfer function,Bandwidth (signal processing),Control system,Approximation error,Laplace operator,Distributed computing | Conference |
ISSN | ISBN | Citations |
2157-0221 | 978-1-5386-9361-2 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jaroslav Koton | 1 | 93 | 24.27 |
| Jorgen Hagset Stavnesli | 2 | 0 | 0.34 |
| Todd J. Freeborn | 3 | 109 | 14.27 |