A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference-Reference-Cited by-同舟云学术

A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Stanisławski Rafał¹,Latawiec Krzysztof J.¹,Łukaniszyn Marian¹

Affiliation:

1. Department of Electrical, Control and Computer Engineering, Opole University of Technology, Ulica Sosnkowskiego 31, 45-272 Opole, Poland

Abstract

This paper provides a series of new results in both steady-state accuracy and frequency-domain analyses for two Laguerre-based approximators to the Grünwald-Letnikov difference. In a comparative study, the Laguerre-based approximators are found superior to the classical Tustin- and Al-Alaoui-based approximators, which is illustrated in simulation examples.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2015/512104.pdf

Reference29 articles.

1. FIR approximation of fractional sample delay systems

2. Implementation of Fractional-order Operators on Field Programmable Gate Arrays

3. Computation of fractional derivatives using Fourier transform and digital FIR differentiator

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