Optimal Rational Function Approximation for Fractional Integral and Differential Operators

DOI

10.2991/acta-14.2014.7How to use a DOI?

Keywords

Fractional integral and differential operators; Rational function approximation; Bode diagram; Optimal rational function approximation

Abstract

Bode diagram based rational function approximation method for fractional integral and differential operators are analyzed in detail. For the approximation rational function orders is the lowest under satisfying approximation accuracy in the approximation frequency interval, two steps are proposed: 1) Choose reasonable initial and terminal frequency of rational function logarithmic amplitude-frequency characteristic. 2) Set approximation error of logarithmic amplitude-frequency characteristic by taking the error between asymptote and exact value into account. Computation examples demonstrate the validity of this method.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xuxiu Zhang
AU  - Xin Yao
AU  - Jiyou Fei
PY  - 2014/06
DA  - 2014/06
TI  - Optimal Rational Function Approximation for Fractional Integral and Differential Operators
BT  - 2014 International Conference on Automatic Control Theory and Application
PB  - Atlantis Press
SP  - 27
EP  - 30
SN  - 2352-5398
UR  - https://doi.org/10.2991/acta-14.2014.7
DO  - 10.2991/acta-14.2014.7
ID  - Zhang2014/06
ER  -