Abstract This paper addressed the robustness of single-phase voltage type pulse width modulation (PWM) rectifiers in the presence of parametric uncertainties. An H∞ mixed sensitivity (H∞-MS) direct current control (DCC) scheme was proposed. Firstly, the dq axis current decoupling model and closed-loop controller diagram were obtained base on voltage feedforward decoupling. Secondly, parameter perturbation of the model was analyzed considering the bounds of multiplicative uncertainties. A sensitivity weighting function was determined for the control performance, and the complementary sensitivity weighting function was selected for the robust performance, thus the control design was transferred to a standard H∞ control problem. Thirdly, a system augmentation matrix was established to get the positive definite solution of Riccati inequality, and two third-order controllers were obtained. Finally, hardware-in-loop was adopted to test and compare PI-based DCC and H∞-MS DCC schemes, and the results show that H∞-MS DCC schemes can effectively improve the robustness of the system when the inductance of the grid side is perturbed.