利用时滞反馈控制自参数振动系统饱和控制减振频带

Using delayed feedback to control the band of saturation control in an auto-parametric dynamical system

研究了采用时滞反馈来控制自参数振动系统中饱和控制的减振频带的分布问题.在原始的无时滞自参数振动系统中,饱和控制的减振频带在某些内共振解谐参数范围内出现不稳定区域,饱和控制的减振频带分布不合理.通过引进时滞反馈可以控制减振频带的分布.主要分析了反馈增益系数和时滞量两控制参数对饱和控制减振频带分布的影响.研究结果表明,通过调节反馈增益系数和时滞量两参数,可以消除饱和控制减振频带中的不稳定区域,同时能够保证减振频带的宽度不变窄,从而控制和改善了饱和控制减振频带的分布.

We investigate the band of the saturation control in an auto-parametric dynamical system by using the delayed feedback.In an original system without delay feedback,some unstable regions may occur in the band of the saturation control for some internal resonance detuning parameters.The band of the saturation control is distributed unreasonably.The delay feedback control is used to control the distribution of the band for saturation control.The effects of the gain and delay on the band of the saturation control are studied.The results show that the unstable regions of the saturation control can be eliminated by choosing the values of the gain and delay appropriately.Moreover,the bandwidth of the saturation control does not narrow.Consequently,the distribution band of the saturation control can be improved by using the delay feedback control.