@inproceedings{8511522f2de34c97baee132479a2c7d1,
title = "Biquadratic approximation of fractional-order Laplacian operators",
abstract = "This paper introduces a Biquadratic approximation of the fractional-order Laplacian operator of order α; sα, 0 < α ≤ 1. The significance of this approach lies in developing finite-order transfer functions that approximate infinite-order differential (integral) Laplacian operators. A special form of a Biquadratic transfer function is designed to approximate s±α over a narrowband spectrum that enjoys an exact gain and flat phase frequency response. A modular structure can easily be designed by cascading several Biquadratic transfer functions centered at different corner frequencies to widen the frequency spectrum. Such approximation simplifies the design of fractional-order proportional-integral-derivative (FoPID) controllers. The effectiveness and the simplicity of the proposed method are demonstrated via several numerical examples.",
author = "Reyad El-Khazali",
year = "2013",
doi = "10.1109/MWSCAS.2013.6674587",
language = "British English",
isbn = "9781479900664",
series = "Midwest Symposium on Circuits and Systems",
pages = "69--72",
booktitle = "2013 IEEE 56th International Midwest Symposium on Circuits and Systems, MWSCAS 2013",
note = "2013 IEEE 56th International Midwest Symposium on Circuits and Systems, MWSCAS 2013 ; Conference date: 04-08-2013 Through 07-08-2013",
}