The present work deals with robust stability analysis and synthesis of Cuk converter circuit .Mathematical model in state space form is developed for the circuit .A general system matrix is derived for the system with perturbations in a chosen elements values in the system. H∞ - design technique is applied to design a feedback controller for the system with its nominal values. A µ - synthesis technique is used to design a controller for the system to guaranty its robust stability .The system with designed controller of the two above techniques, is investigated. It is observed that the controller obtained from µ - synthesis technique guaranties the robustness of the Cuk converter circuit with 25% simultaneous uncertainties in all perturbed elements.
Key wards: Robust Stability, H∞ - Design Technique, µ - Synthesis Technique