Control based on Wash-Out-Filter for Hopf bifurcation of nonlinear systems

被引:0
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作者
An, Yi-Chun [1 ]
Zhang, Qing-Ling [1 ]
Zhang, Yan [1 ]
Su, Zhan [1 ]
机构
[1] School of Sciences, Northeastern University, Shenyang 110004, China
关键词
Bandpass filters - Feedback control - Nonlinear systems - State feedback;
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学科分类号
摘要
Hopf bifurcation frequently results in periodical oscillation even unstability. Therefore, based on wash-out-filter, a state feedback controller is designed for Hopf bifurcation of the nonlinear systems. With the equilibrium points remaining unchanged, the original subcritical Hopf bifurcation is transformed into supercritical one, which is thus ensured to be asymptotically stable in the range of expected parameters in controlled system. The 1-D and 2-D nonlinear systems are both exemplified to show the effectiveness of the propose method.
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页码:1381 / 1384
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