In this study, a Lyapunov function based control scheme is proposed for single-phase cascaded H-bridge (CHB) active rectifiers to increase robustness and minimize DC voltage unbalance. A capacitor voltage feedback is added to the conventional Lyapunov-function based control method to damp the LCL filter resonance. Besides, a Proportional-Resonant (PR) controller is used to generate the current reference. This controller increases the robustness of the current control scheme. A DC voltage balancing is also employed to prevent the unbalanced DC voltage conditions. The DC voltage is controlled via a PI controller. The performance of the proposed system is verified with simulation and experimental studies.