Rules for selecting the parameters of Oustaloup recursive approximation for the simulation of linear feedback systems containing PIλDμ controller

被引：78

作者：

Merrikh-Bayat, Farshad ^{[1
]}

机构：

[1] Zanjan Univ, Dept Elect & Comp Engn, Zanjan, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 04期

关键词：

Oustaloup recursive approximation; Fractional order integrator; Fractional order differentiator; Fractional order PID; Closed-loop simulation; DIFFERENTIATOR;

D O I：

10.1016/j.cnsns.2011.08.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Oustaloup recursive approximation (ORA) is widely used to find a rational integer-order approximation for fractional-order integrators and differentiators of the form s(v), v is an element of (-1,1). In this method the lower bound, the upper bound and the order of approximation should be determined beforehand, which is currently performed by trial and error and may be inefficient in some cases. The aim of this paper is to provide efficient rules for determining the suitable value of these parameters when a fractional-order PID controller is used in a stable linear feedback system. Two numerical examples are also presented to confirm the effectiveness of the proposed formulas. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1852 / 1861

页数：10

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