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Stationary Response of Duffing-van der Pol Oscillator with Delayed Feedback Control under Wide-Band Noise Excitation

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Abstract:

The stationary response of Duffing-van der Pol oscillator with time-delayed feedback control under wide-band noise excitations is studied. First, the time-delayed feedback control force is expressed approximately in terms of the system state variables without time delay. Then, the averaged Itô stochastic differential equations for the system are derived by using the stochastic averaging method. Finally, the stationary response of the system is obtained by solving the Fokker-Plank-Kolmogorov equation associated with the averaged Itô equation. The effect of time delay in feedback control force on the response is analyzed. The theoretical results are well verified through digital simulation.

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Periodical:

Applied Mechanics and Materials (Volumes 300-301)

Pages:

1518-1524

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.300-301.1518

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Cite this paper

Online since:

February 2013

Authors:

Peng Lin, Chang Shui Feng, Qiao Yi Wang

Keywords:

Delayed Feedback Control, Duffing-van der Pol Oscillator, Stationary Response, Stochastic Averaging

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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