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In the present paper,the delayed feedback control is applied to suppress the amplitude of a steel beam.The approximate analytical solutions are obtained when the primary external resonance and 1:2 internal resonance occur simultaneously.The effects of amplitude of excitation,damping coefficients,nonlinear feedback coefficients and detuning parameter of internal resonance on saturation control are investigated.The results show that the frequency bandwidth of saturation control can be widened by increasing the amplitude of external excitation.The amplitude of the controller can be suppressed by increasing the gain of nonlinear control signal when the system is in the saturation control state.As the gain of nonlinear feedback control increases,the amplitude of the beam decreases and the frequency bandwidth of saturation control increases.The amplitude of controller can be suppressed by increasing the damping coefficient of beam when the system is in the saturation control state.The amplitude of the beam can be suppressed and the frequency bandwidth can be widened by decreasing the damping coefficient of the controller.As the detuning parameter of internal resonance varies,the frequency bandwidth of saturation control drifts.The amplitude of the beam of saturation control is much larger than its amplitude of non-saturation control.The delayed feedback control can be employed to suppress the amplitude of the beam when its in the saturation control state.The results show that there is a tunable range of delay could be used to suppress the amplitude of the beam for a fixed value of the gain.The amplitude of the beam can be suppressed to a minimum value when the gain and the delay of the delayed feedback control are chosen appropriate values.