基于补偿控制的随机共振特性及其应用研究

范志刚,林敏,黄咏梅,徐明

振动与冲击 ›› 2020, Vol. 39 ›› Issue (23) : 64-70.

PDF(848 KB)
PDF(848 KB)
振动与冲击 ›› 2020, Vol. 39 ›› Issue (23) : 64-70.
论文

基于补偿控制的随机共振特性及其应用研究

  • 范志刚,林敏,黄咏梅,徐明
作者信息 +

Compensation control-based stochastic resonance characteristics and their application

  • FAN Zhigang, LIN Min, HUANG Yongmei, XU Ming
Author information +
文章历史 +

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 和两噪声间的关联系数 对双稳系统共振输出的作用规律,发现信噪比和控制参数 、关联系数 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 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 变化的单峰曲线中,峰值的大小和位置随控制参数 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。

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.

关键词

双稳系统 / 补偿控制 / 关联噪声 / 随机共振

Key words

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

引用本文

导出引用
范志刚,林敏,黄咏梅,徐明. 基于补偿控制的随机共振特性及其应用研究[J]. 振动与冲击, 2020, 39(23): 64-70
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

参考文献

[1] Benzi R , Sutera A , Vulpiani A . Stochastic resonance in the Landau-Ginzburg equation[J]. Journal of Physics A General Physics, 1985, 18(12):2239.
[2] 张雷, 宋爱国. 随机共振在信号处理中应用研究的回顾与展望[J].电子学报,2009,37(04):811-818.
Zhang L , Song A G . Development and prospect of stochastic resonance in signal processing[J]. Acta Electronica Sinica, 2009, 37(4):811-818.
[3] Lifeng L , Xianzhi Y G , Huiqi W. The stochastic incentive effect of venture capital in partnership systems with the asymmetric bistable Cobb–Douglas utility[J]. Communi -cations in Nonlinear Science and Numerical Simulation,
2019, 66:109-128.
[4] 张刚 , 曹莉 , 贺利芳,等. 指数型随机共振微弱振动信号检测方法[J]. 振动与冲击, 2019, 38(9): 53-61.
ZHANG Gang , CAO Li , HE Lifang , et al. Weak vibration signal detection method for exponential stochastic resonance systems[J]. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(9): 53-61.
[5] Zhang Lei,Wenbin Zheng, and Aiguo Song. Adaptive logical
stochastic resonance in time-delayed synthetic genetic networ-ks. Chaos: An Interdisciplinary Journal of Nonlinear Science,2018,28(4 ): 043117.
[6] Zhang, Lei,and Aiguo Song. Realizing reliable logical stochas
-tic resonance under colored noise by adding periodic force[J].Physica A: Statistical Mechanics and its Applications,2018, 503(C):958-968.
[7] Anishchenko V S , Safonova M A , Chua L O . Stochastic Resonance in Chua's Circuit[J]. International Journal of Bifurcation and Chaos, 1992, 2(2):397-401.
[8] Gandhimathi V M , Rajasekar S , Kurths J . EFFECTS OF THE SHAPE OF PERIODIC FORCES ON STOCHASTIC RESONANCE[J]. International Journal of Bifurcation and Chaos, 2008, 18(07):2073-2088.
[9] 刘进军 , 冷永刚 , 张雨阳,等. 势函数特征参数调节的随机共振及其动车轴承故障检测研究[J]. 振动与冲击, 2019, 38(13): 26-33.
LIU Jinjun , LENG Yonggang , ZHANG Yuyang ,et al. Stochastic resonance with adjustable potential function characteristic parameters and its application in EMU bearing fault detection[J]. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(13): 26-33.
[10] 钟伟荣, 邵元智, 何振辉. 关联噪声作用下肿瘤生长的随机共振[J]. 科学通报, 2005, 50(22):2475-2478.
Weirong Zhong,  Yuanzhi Shao,  Zhenhui He. Stochastic resonance in the growth of a tumor induced by correlated noises[J]. Chinese Science Bulletin, 2005, 50(20): 2475-2478.
[11] Mason J , Lindner J F , Neff J , et al. Pulse-enhanced stochastic resonance[J]. Physics Letters A, 2000, 277(1):13-17.
[12] Guo F, Luo X D, Li S F, Zhou Y R 2010 Chin. Phys. B.19 080504.
[13] Xu W, Jin Y F,Li W,Mao S J 2005 Chin .Phys .14 1077.
[14] Yan-Fei J , Wei X , Meng X . Stochastic Resonance in an Asymmetric Bistable System Subject to Frequency Mixing Periodic Force and Noise[J]. Chinese Physics Letters, 2005, 22(5):1061-1064.
[15] 董小娟. 含关联噪声与时滞项的非对称双稳系统的随机共振[J]. 物理学报, 2007, 56(10):5618-5622.
Xiao-Juan Dong . Stochastic resonance in an asymmetric bistable system with time-delayed feedback and correlated noises[J]. Acta Physica Sinica, 2007, 56(10):5618-5622.
[16] Zhang, Lei, Wenbin Zheng, Fei Xie, and Aiguo Song. Effect o-fthe correlation between internal noise and external noise on logical stochastic resonance in bistable systems.Physical Revi-ew E,2017,96(5): 052203.
[17] Xie C W , Mei D C , Cao L , et al. Escape of Brownian particles in an asymmetric bistable sawtooth potential driven by cross-correlated noises[J]. European Physical Journal B, 2003, 33(1):83-86.
[18] 周丙常,徐伟.周期混合信号和噪声联合激励下的非对称双稳系统的随机共振[J].物理学报,2007(10):5623-5628.
Zhou Bing-Chang ,  Xu Wei. Stochastic resonance in an asymmetric bistable system driven by mixed periodic force and noises[J]. Acta Physica Sinica, 2007(10):5623-5628.
[19] 焦尚彬, 任超, 黄伟超, 等. α稳定噪声环境下多频微弱信号检测的参数诱导随机共振现象[J]. 物理学报, 2013, 62(21): 34-43.
Shang-Bin J , Chao R , Wei-Chao H ,et al. Parameter-induced stochastic resonance in multi-frequency weak signal detection with α stable noise[J]. Acta Physica Sinica,2013, 62(21):34-43.
[20] Xiu-Ni Y , Yun-Feng Y , Science S O . Vibrational resonance in an asymmetric bistable system with time-delay feedback[J]. Acta Physica Sinica, 2015, 64(7):70507-070507.

PDF(848 KB)

Accesses

Citation

Detail

段落导航
相关文章

/