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

https://dx.doi.org/10.1109/ITC-CSCC58803.2023.10212692

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"
}