Controlling Hopf-Hopf interaction bifurcations of a two-degree-of-freedom self-excited system with dry friction

被引：13
|
作者：
Wen, Guilin [1 ]
Xu, Huidong [1 ]
Xie, Jianhua [2 ]
机构：
[1] Hunan Univ, Minist Educ, Key Lab Adv Design & Simulat Tech Special Equipme, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China
[2] SW Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Sichuan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2011年 / 64卷 / 1-2期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Bifurcation control; Bifurcation criterion; Hopf-Hopf interaction bifurcation; Dry friction system; TORUS T-2; STABILIZATION; CHAOS;
D O I：
10.1007/s11071-010-9844-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The feedback control problem of designing Hopf-Hopf interaction bifurcations into a dry friction system at a pre-specified parameter point is addressed. A new bifurcation criterion without using eigenvalues is established to preferably determine the control gains. Numerical simulation shows that the torus solution of Hopf-Hopf interaction bifurcation can be created in the friction system at a desired parameter location.
引用
收藏
页码：49 / 57
页数：9
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