Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach

被引：73

作者：

Tavazoei, Mohammad Saleh ^{[1
]}

Haeri, Mohammad ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Elect Engn, Adv Control Syst Lab, Tehran, Iran

来源：

AUTOMATICA | 2010年 / 46卷 / 01期

关键词：

Fractional-order system; Rational approximation; Descriptor system; Fractional-order controller; SINUSOIDAL OSCILLATORS; CHAOS; DIFFERENTIATOR; REALIZATION; STABILITY;

D O I：

10.1016/j.automatica.2009.09.016

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with issues related to the use of rational approximations in the simulation of fractional-order systems and practical implementations of fractional-order dynamics and controllers. Based on the mathematical formulation of the problem, a descriptor model is found to describe the rational approximating model. This model is analyzed and compared with the original fractional-order system under the aspects which are important in their simulation and implementation. From the results achieved,. one can determine in what applications the use of rational approximations would be unproblematic and in what applications it would lead to fallacious results. In order to clarify this point, some examples are presented in which the effects of using rational approximations are investigated. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：94 / 100

页数：7

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