Bifurcation control of a parametrically excited duffing system

被引：62
|
作者：
Ji, JC [1 ]
Leung, AYT [1 ]
机构：
[1] City Univ Hong Kong, Dept Bldg & Construct, Kowloon, Hong Kong, Peoples R China
来源：
NONLINEAR DYNAMICS | 2002年 / 27卷 / 04期
关键词：
bifurcation control; linear feedback; time delay; principal parametric resonance; duffing system;
D O I：
10.1023/A:1015221422293
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A linear time-delayed feedback control is used to delay the occurrence of pitchfork bifurcations and to eliminate saddle-node bifurcations, which may arise in the nonlinear response of a parametrically excited Duffing system under the principal parametric resonance. The feedback gains and the time delay are chosen by analyzing the modulation equations of the amplitude and the phase. It is shown that by using an appropriate feedback control, the stable re,,ion of the trivial solutions can be broadened, a discontinuous bifurcation can be transformed into a continuous one, and the jump phenomenon in the resonance response can be removed.
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页码：411 / 417
页数：7
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