International audienceIn this paper a complete robustness analysis is performed for a hybrid Fuel Cell/Supercapacitor generation system with power management, realized through the control of two identical boost power converters. For the closed-loop control a previously proposed multivariable robust control is considered. The robust control strategy analyzed consists of a multivariable Proportional-Integral controller found using an algorithm with a Linear Matrix Inequalities (LMI) formulation proposed by the authors in former works. The control actuators are the duty cycles of the boost power converters interfacing the Fuel Cell (FC) and the Supercapacitor (SC) with the system electrical load. The control effectively achieves stability and performance robustness for several considered parameter variations sets. Simulation results were obtained using µ-analysis theory and the experimental validation was achieved. The results obtained show the improvement of the system robustness with a strategy that can be generalized as a robust control methodology