Performance Analysis of Oustaloup Approximation for the Design of Fractional-Order Analogue Circuits
| Autor: | Jaroslav Koton, Jorgen Hagset Stavnesli, Todd J. Freeborn |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Analogue circuits
Approximation error Computer science Control system 020208 electrical & electronic engineering Bandwidth (signal processing) 0202 electrical engineering electronic engineering information engineering Applied mathematics 020206 networking & telecommunications 02 engineering and technology Transfer function Laplace operator |
| Zdroj: | ICUMT |
| DOI: | 10.1109/icumt.2018.8631227 |
| Popis: | 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 $s^{\alpha}$ , whereas $0 , 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 $s^{\alpha}$ 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. |
| Databáze: | OpenAIRE |
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