Optimal Rational Function Approximation for Fractional Integral and Differential Operators
Authors
Xuxiu Zhang, Xin Yao, Jiyou Fei
Corresponding Author
Xuxiu Zhang
Available Online June 2014.
- 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/).
Cite this article
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 -