Purpose <p>Despite its apparent advantages of the traditional active control method to the control of cable oscillations, the main drawback to it is the cost and high energy consumption. In engineering practice, the main purpose of the control measures is used to control the vibration of the structure quickly and simply. As a arisen method in vibration control in last few years, anti-control method is quick and easy on paper.</p> Methods <p>Without changing periodic solution of the original system, we will apply the feedback control method in the original differential system to deduce the control gains of the original differential system and to achieve anti-control of the system in real implement of control. The control strategy can keep the equilibrium structure of the system and can be applied to degenerate period doubling bifurcation at the desired location with preferred stability.</p> Results <p>The goal of anti-bifurcation control is to avoid the appearance of the undesired bifurcation characteristics of the system so as to make the system to be monitored. The controller can delay or move up the time of one of the period-doubling bifurcation, and it could control the others bifurcation or others bifurcation diagrams after the controlled bifurcation. </p> Conclusion <p>A single-degree-of-freedom non-linear model can be derived by the stationary functional method to characterize the influences of the mechanical parameters on the non-linear system. When it is far away from internal resonances, the single mode dynamic analysis provides reliable results. The control law can decrease response significantly. The linear controller is more effective than constant coefficient controller. Moreover, it is shown that a large gain factor corresponds to a large effect.</p>