有界噪声激励下系统随机共振的改善

IMPROVEMENT OF STOCHASTIC RESONANCE UNDER BOUNDED NOISE EXCITATION

为了考察有界噪声参数改变对系统随机共振的影响,本文研究了三个典型随机系统的输出.通过随机Runge-Kutta法对方程进行离散,计算长时间历程下系统的响应.结果表明,改变有界噪声的平均频率Ω及参数σ,可以有效地改善有界噪声系统的随机共振行为,且存在ω-Ω数值关系可使得共振效果最佳.随着平均频率的增加,随机共振的峰值会呈现增大且偏移的状态,而σ的增大却往往会抑制随机共振现象.为了验证结果的可靠性,本文建立了Simulink模型,通过仿真实验可得到相同的结论.

In order to study the effects of bounded-noise parameters’ change on system stochastic resonance(SR),the outputs of three typical systems are investigated. Stochastic Runge-Kutta method is used to discretize the equations and calculate system response in a extend period. The results demonstrate that the SR can be effectively improved by changing the mean frequency and parameters σ of the bounded noise,and the resonance effect can be optimized by the existence of ω-Ω numerical relations. With the increase of mean frequency,the peak value of SR will increase and deviate,but the enlargement of σ will suppress the phenomenon of SR. To verify the above results,we establish Simulink models,and the same conclusion can be obtained through the simulation experiment.