Compensation Control Of Stochastic Resonance And Its Application

Stochastic resonance has a unique advantage in the field of weak signal detection.It has the mechanism of energy transfer from noise part to weak periodic signal part.In this paper,the compensation control method of stochastic resonance is proposed for the system with fixed or hard to change structural parameters of potential function.The stochastic resonance characteristics of the bistable system excited by the weak periodic signal of compensation control and the multiplicative and additive Gaussian white noise of correlation are studied.The system of SR circuit based on compensation control is designed.In the detection of vortex signal and bearing early fault,the compensation control method has good application effect.The main contents of this paper are as follows:Firstly,taking the classical bistable system excited by weak periodic signal and correlated noise as the research object,a compensation control method is proposed.By introducing the corresponding generalized potential function,the analytical expression of signal-to-noise ratio is derived.Adjusting the control parameters r will destroy the symmetry of the bistable system,and then affect the transition rate and signal-to-noise ratio.Taking the correlation coefficient ? between two noises and the control parameter r as the controllable variable and the signal-to-noise ratio as the observable variable,this paper analyzes the generating principle of the stochastic resonance of the bistable system under the compensation control and the law of the controllable variable's effect on the resonance output of the system.Secondly,a stochastic resonance circuit system based on compensation control is designed.By means of circuit simulation,the influence of controllable variables on the stochastic resonance of bistable system is analyzed.The simulation results show that: adjusting the control parameters r can induce the generation of stochastic resonance and enhance the resonance output of the system;adjusting the correlation coefficient ? can affect the power spectrum value at the characteristic frequency of the output signal.Thirdly,the compensation control method of stochastic resonance is applied to the detection of measured signals,and the vortex signals with different flow rates and the early fault signals of bearings are selected for detection.The test results show that the compensation control method can effectively extract the characteristic frequency of the signal to be measured and enhance the peak value of the power spectrum at the characteristic frequency of the output signal,which has a good application prospect.