Approximations of High-Order Fractional Transfer Functions

A. S. Korotkov; Коротков А. С.; A. Kavruk; Каврук А.

doi:10.31857/S0033849423060086

Approximations of High-Order Fractional Transfer Functions

Authors: Korotkov A.S.¹, Kavruk A.¹
Affiliations:
1. Peter the Great St. Petersburg Polytechnic University
Issue: Vol 68, No 7 (2023)
Pages: 683-692
Section: ТЕОРИЯ РАДИОТЕХНИЧЕСКИХ ЦЕПЕЙ
URL: https://rjsvd.com/0033-8494/article/view/650502
DOI: https://doi.org/10.31857/S0033849423060086
EDN: https://elibrary.ru/XMOCTE
ID: 650502

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Abstract

Various solutions of the problem of approximation of high-order fractional transfer functions are considered and a technique for solving the stability problem for such functions is shown. The existing solutions of the problem of approximating function pα are compared with those proposed on the basis of the least mean square error criterion. As an example, the results of filter simulation using the proposed solution are presented.

Keywords

high-order fractional transfer functions, high-order fractional transfer functions

About the authors

A. S. Korotkov

Peter the Great St. Petersburg Polytechnic University

Email: korotkov@spbstu.ru
St. Petersburg, 195251 Russia

A. Kavruk

Peter the Great St. Petersburg Polytechnic University

Author for correspondence.
Email: korotkov@spbstu.ru
St. Petersburg, 195251 Russia

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