摘要
提出了补偿控制的随机共振控制方法。研究了基于补偿控制的周期信号和关联的乘性和加性高斯白噪声共同激励的双稳系统的随机共振现象。通过引入相应的广义势函数,推导出信噪比的解析表达式。以信噪比为衡量指标,研究了控制参数r和两噪声间的关联系数λ对双稳系统共振输出的作用规律,发现信噪比和控制参数r、关联系数λ均有非单调的变化关系。理论分析和数值仿真结果表明,补偿控制能增强双稳系统的共振输出,通过调节控制参数r可诱导随机共振的产生并能有效地控制共振效应的强弱;信噪比随关联系数λ变化的单峰曲线中,峰值的大小和位置随控制参数r的变化而变化。实验数据检测结果表明,该方法能有效提取小流量涡街信号的特征频率。
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.
作者
范志刚
林敏
黄咏梅
徐明
FAN Zhigang;UN Min;HUANG Yongmei;XU Ming(College of Metrology and Measurement Engineering,China Jiliang University,Hangzhou 310018,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2020年第23期64-70,共7页
Journal of Vibration and Shock
基金
国家自然科学基金(11872061)。
关键词
双稳系统
补偿控制
关联噪声
随机共振
bi-stable system
compensation control
correlated noise
stochastic resonance
