To reduce the influence on the stability control of the PWM rectifier caused by model uncertainty and external interference, a new double closed-loop control method based on H∞ and nonlinear L2 disturbance suppression is proposed. In the voltage outer control loop, Bruno-standard linear equation is established based on voltage derivation and power derivation, andthe linear optimal control solution is obtained based on objective holographic feedbacks. In the current inner control loop, the nonlinear L2-gain control method is used, which effectively restrains the influence on the wide-range operation stability due to aforementioned reasons. Simulation and experiment results show that the new control method can quicken the stability speed of rectifier output voltage and current tracking ability of unity power factor significantly compared with traditional proportional integral control method, which is important to improve the dynamic stable and control ability of PWM rectifier. This work is supported by National Nature Science Foundation of China (No. 51407035) and Key Science and Research Program of Henan Higher Education (No. 17A470007).