Compensation control-based stochastic resonance characteristics and their application

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (23) : 64-70.

FAN Zhigang, LIN Min, HUANG Yongmei, XU Ming

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Abstract

Here, a stochastic resonance control method based on compensation control was proposed.The stochastic resonance phenomenon of a bi-stable system excited by periodic signals and correlated multiplicative and additive Gauss white noise based on compensation control was studied.By introducing the corresponding generalized potential function, the analytical expression of signal-to-noise ratio (SNR) was derived.Taking the SNR as an index, the effect laws of control parameter r and correlation coefficient λ between two noises on the resonant output of the bi-stable system were studied.The results indicated that the SNR is non-monotonically related to control parameter r or correlation coefficient λ.The theoretical analysis and numerical simulation results showed that the compensation control can enhance the resonance output of the bi-stable system, adjusting control parameter r can cause the generation of stochastic resonance, and effectively control the intensity of the resonance effect; in a single peak curve of SNR versus correlation coefficient λ, the peak value and its position vary with the change of control parameter r.Test results indicated that the proposed method can effectively extract the characteristic frequency of a vortex street signal with small flow rate.

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bi-stable system / compensation control / correlated noise / stochastic resonance

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FAN Zhigang, LIN Min, HUANG Yongmei, XU Ming. Compensation control-based stochastic resonance characteristics and their application[J]. Journal of Vibration and Shock, 2020, 39(23): 64-70

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