Numerical simulations of fractional systems: An overview of existing methods and improvements

被引：89

作者：

Aoun, M

Malti, R

Levron, F

Oustaloup, A

机构：

[1] Univ Bordeaux 1, CNRS, UMR 5131, LAP,ENSEIRB, F-33405 Talence, France

[2] Univ Paris 12, UT Senart, IS, F-77127 Lieusaint, France

[3] Univ Bordeaux 1, Math Inst, F-33405 Talence, France

来源：

NONLINEAR DYNAMICS | 2004年 / 38卷 / 1-4期

关键词：

continuous time model; discrete time model; fractional model; fractional calculus; modeling; numerical simulation;

D O I：

10.1007/s11071-004-3750-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An overview of the main simulation methods of fractional systems is presented. Based on Oustaloup's recursive poles and zeros approximation of a fractional integrator in a frequency band, some improvements are proposed. They take into account boundary effects around outer frequency limits and simplify the synthesis of a rational approximation by eliminating arbitrarily chosen parameters.

引用

页码：117 / 131

页数：15

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