Cable is the main supporting element of cablestayed bridge and an important part of cablestayed bridge. In this paper, In this paper, the vibration control of cable beam coupling structure with control gain parameter G is studied. The nonlinear in-plane differential equations of motion of cable beam coupled structures obtained in the literature are used. According to the discrete method, they are treated by the method of separation of variables, and then the single degree of freedom and two degree of freedom modal equations of cable beam coupled structures are obtained. Different from previous studies, this paper assumes that the left support point of the cable (beam), namely the origin of the coordinate, can move freely along the longitudinal direction, and then the dynamic strain of the cable will change, thereby changing the primary coefficient of its modal equation. Through this rule, a set of state control feedback criteria can be obtained in theory, and according to Floquet stability theory, the above equation can be converted into Hill equation form. Then the stable solution of the differential equation of motion is obtained by perturbation method. Finally, numerical analysis and calculation are carried out for the single degree of freedom and two degree of freedom systems of cable beam coupling structure. By changing the feedback control gain coefficient, the inverse control of the system can be achieved. The designer can select appropriate parameters through the parameter variation range design of these complex phenomena, so that the system can vibrate within the safe range controlled by the engineer as far as possible. This control strategy maintains the balance of the system and can be applied to degenerate period doubling bifurcation with optimal stability at the desired position. The research shows that whether the structure is a single degree of freedom system or a two degree of freedom system, the change of the feedback control gain coefficient can effectively change the amplitude of the system in the case of resonance. By properly adjusting the control parameters, a stable period doubling motion of the original system can be created at the preset parameter positions, and the range of period doubling motion can be changed. The conclusion shows that both the constant term and the primary term of the control gain parameter G play an important role in the control of the system. It shows that the assumed state control feedback criterion is of certain referential value in theory.