Optimal Rational Function Approximation for Fractional Integral and Differential Operators

被引：0
|
作者：
Zhang Xuxiu [1 ]
Yao Xin [1 ]
Fei Jiyou [2 ]
机构：
[1] Dalian Jiaotong Univ, Sch Elect & Informat Engn, Dalian, Peoples R China
[2] Dalian Jiaotong Univ, Sch Bullet Train Applicat & Maintenance Engn, Dalian, Peoples R China
来源：
2014 INTERNATIONAL CONFERENCE ON AUTOMATIC CONTROL THEORY AND APPLICATION | 2014年
基金：
美国国家科学基金会;
关键词：
Fractional integral and differential operators; Rational function approximation; Bode diagram; Optimal rational function approximation;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：27 / 30
页数：4
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