Bifurcation and Chaos in the Duffing Oscillator with a PID Controller

被引：0
|
作者：
Fangsen Cui
C. H. Chew
Jianxue Xu
Yuanli Cai
机构：
[1] National University of Singapore,Department of Mechanical and Production Engineering
[2] Xi'an Jiaotong University,Institute of Engineering Mechanics
来源：
Nonlinear Dynamics | 1997年 / 12卷
关键词：
Bifurcation; chaos; Duffingoscillator; fractal basin boundary; PIDcontroller;
D O I：
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中图分类号：
学科分类号：
摘要：
We discuss in this paper the bifurcation, stability and chaos of the non-linear Duffing oscillator with a PID controller. Hopf bifurcation can occur and we show that there is a global stable fixed point. The PID controller works well in some fields of the parameter space, but in other fields of the parameter space, or if the reference input is not equal to zero, chaos is common for hard spring type system and so is fractal basin boundary for soft spring system. The Melnikov method is used to obtain the criterion of fractal basin boundary.
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页码：251 / 262
页数：11
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