Publication detail

Semi-Symbolic Transient Analysis of Analog Fractional-Order Systems

BIOLEK, D. BIOLKOVÁ, V. KOLKA, Z.

Original Title

Semi-Symbolic Transient Analysis of Analog Fractional-Order Systems

Type

conference paper

Language

English

Original Abstract

The concept of algorithmic semi-symbolic transient analysis of analog circuits containing fractional-order elements is described. From the circuit model, the transfer function in symbolic and semi-symbolic form and its w-domain poles are found, the decomposition of the transfer function into partial fractions is performed, and the waveform formula expressed by two-parametric Mittag-Leffler functions and their derivatives are found for each fraction. The formula is then converted into a numerical result. The method is implemented in the SNAP program, and its usefulness is demonstrated on a cascade filter with multiple complex poles.

Keywords

fractional-order system; impulse response; Mittag-Leffler function; semi-symbolic analysis; transfer function

Authors

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.

Released

12. 6. 2022

Publisher

IEEE

Location

USA

ISBN

978-1-6654-6703-2

Book

2022 18th International Conference on Synthesis, Modeling, Analysis and Simulation Methods, and Applications to Circuit Design, SMACD 2022

Pages count

4

URL

https://dx.doi.org/10.1109/SMACD55068.2022.9816310

BibTex

@inproceedings{BUT180726,
  author="Dalibor {Biolek} and Viera {Biolková} and Zdeněk {Kolka}",
  title="Semi-Symbolic Transient Analysis of Analog Fractional-Order Systems",
  booktitle="2022 18th International Conference on Synthesis, Modeling, Analysis and Simulation Methods, and Applications to Circuit Design, SMACD 2022",
  year="2022",
  pages="4",
  publisher="IEEE",
  address="USA",
  doi="10.1109/SMACD55068.2022.9816310",
  isbn="978-1-6654-6703-2",
  url="https://dx.doi.org/10.1109/SMACD55068.2022.9816310"
}