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

Abstract

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.