Chaos and the control of multi-time delay feedback for some nonlinear relative rotation system

被引：4

作者：

Zhang Wen-Ming ^{[1
]}

Li Xue ^{[1
]}

Liu Shuang ^{[1
]}

Li Ya-Qian ^{[1
]}

Wang Bo-Hua ^{[1
]}

机构：

[1] Yanshan Univ, Key Lab Ind Comp Control Engn Hebei Prov, Qinhuangdao 066004, Peoples R China

来源：

ACTA PHYSICA SINICA | 2013年 / 62卷 / 09期

基金：

中国国家自然科学基金;

关键词：

multi-time delay; relative rotation system; control; numerical simulation; PARAMETER-IDENTIFICATION;

D O I：

10.7498/aps.62.094502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamic equation of some nonlinear relative rotation system with two masses has been established, which contains a kind of nonlinear sick-slip friction. Chaotic motion and the control effect of multi-delay feedbacks of the nonlinear relative rotation system under external excitation are investigated. When the system is in chaos under external excitation, the multi-time delay is applied to control the chaotic motion. The chaotic critical conditions of parameters about Smale commutation are given in terms of Melnikov theory, while the influence of multi-delay feedbacks on the system movement state and chaotic critical conditions is studied. The control impacts of multi-time delay parameters on chaotic motion are studied by phase diagram, Poincare map and power spectrum, separately.

引用

页数：9

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