Publication detail
Step Response of Commensurate Fractional Lowpass Pseudo-Biquad: Critical Damping
BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.
Original Title
Step Response of Commensurate Fractional Lowpass Pseudo-Biquad: Critical Damping
Type
conference paper
Language
English
Original Abstract
In the paper, a comparison is made between the step responses of the classical integer-order biquad with the transfer function ((s/ω0)^2+(s/ω0)/Q+1)^(-1), where ω0 and Q are the characteristic frequency and quality factor, and the commensurate fractional pseudo-biquad with the transfer function ((s/ω0)^(2α)+(s/ω0)^α/Q+1)^(-1), 0< α ≤1. While the classical biquad experiences the fastest response for critical damping when Q = 0.5, a similar response can be observed for the fractional circuit, but for larger values of Q depending on the α parameter. For α < 1, the response then settles faster than for the classical filter. Coupling conditions between the parameters α and Q are found that lead to the so-called pseudo-critical damping and critical underdamping.
Keywords
fractional-order filter; biquad; step response; critical damping
Authors
BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.
Released
25. 6. 2023
Publisher
Institute of Electrical and Electronics Engineers Inc.
ISBN
979-8-3503-2641-3
Book
2023 International Technical Conference on Circuits/Systems, Computers, and Communications, ITC-CSCC 2023
Pages from
1
Pages to
6
Pages count
6
URL
BibTex
@inproceedings{BUT186913,
author="Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
title="Step Response of Commensurate Fractional Lowpass Pseudo-Biquad: Critical Damping",
booktitle="2023 International Technical Conference on Circuits/Systems, Computers, and Communications, ITC-CSCC 2023",
year="2023",
pages="1--6",
publisher="Institute of Electrical and Electronics Engineers Inc.",
doi="10.1109/ITC-CSCC58803.2023.10212692",
isbn="979-8-3503-2641-3",
url="https://dx.doi.org/10.1109/ITC-CSCC58803.2023.10212692"
}