标题：
Effect of delay combinations on stability and Hopf bifurcation of an oscillator with acceleration-derivative feedback
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所属单位：
航空学院
发表刊物：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
关键字：
Time delay Acceleration-derivative feedback Positive feedback Stable region Hopf bifurcation Duffing oscillator
摘要：
This paper presents new observations of delayed AD (acceleration-derivative) controller in active vibration control and in bifurcation control of a Duffing oscillator. Based on the stability analysis of the linear delayed oscillator, it is found that combination of the two delays in acceleration feedback and velocity feedback has a significant influence on the stable region in the parameter plane of the gains. By calculating the real part of the rightmost characteristic roots of the controlled oscillator with fixed delays, it is shown that a delayed acceleration feedback with positive gain can work much better than the corresponding delayed negative acceleration feedback, which is used in classic control theory. For given feedback gains, by calculating the critical delay values, it is shown that a delayed positive acceleration feedback can result in a much larger stable delay interval than the corresponding delayed negative acceleration feedback does. As an application of these results to a delayed Duffing oscillator with acceleration-derivative feedback, a delayed positive acceleration feedback can be well used to postpone the occurrence of Hopf bifurcation in the delayed nonlinear oscillators.
ISSN号：
0020-7462
是否译文：
否
发表时间：
2017-09-01
合写作者：
胡海岩,xu,qi,Stepan, Gabor
通讯作者：
王在华
发表时间：
2017-09-01
