In this paper, a general robust control synthesis framework is proposed for DC-DC quasi-resonant converters (QRCs) in order to achieve both stability and desired performance, Such as reduced sensitivity to load variations, desired disturbance rejection, reduced output impedance and attenuated transfer from input to output. The µ-analysis is used to design and verify the robustness of the resulted controller. The Proposed control strategy is applied to a typical zero-current switching QRC and Nonlinear simulation is performed using nonlinear model of converter circuit. The Simulation results demonstrate the good reference voltage tracking, line disturbance rejection and show that the designed procedure guarantees the robust stability and robust performance for a wide range of load variation.