Some Applications of Fractional Calculus in Suppression of Chaotic Oscillations

被引：126

作者：

Tavazoei, Mohammad Saleh ^{[1
]}

Haeri, Mohammad ^{[1
]}

Jafari, Saeid

Bolouki, Sadegh

Siami, Milad

机构：

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

来源：

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS | 2008年 / 55卷 / 11期

关键词：

Chaos; chaotic circuit; fractional-order controller; stabilization;

D O I：

10.1109/TIE.2008.925774

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 presents two different stabilization methods based on the fractional-calculus theory. The first method is proposed via using the fractional differentiator, and the other is constructed based on using the fractional integrator. It has been shown that the proposed techniques can be used to suppress chaotic oscillations in 3-D chaotic systems. To show the practical capability of the methods, some experimental results on the control of chaos in chaotic circuits are presented.

引用

页码：4094 / 4101

页数：8

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[Anonymous], ACTA MONTAN SLOVACA

[2]

[Anonymous], 1994, US Patent, Patent No. [Lune, B.J., US5371, 670, 5371670]

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