This paper is a contribution for DC MicroGrid control and introduces a rigorous dynamics’ analysis, taking into account intermittency effects. We propose an hierarchical control scheme, based on nonlinear control theory, in particular Lyapunov, backstepping and input/output feedback linearization. The resulting algorithms are simple, comparable to standard nested PIs, and do not need important computer resources, such to be easily implemented in small micro-controllers. In addition to allowing an explicit stability analysis, they present the advantage of preserving performance for the whole operation region, and to be easy to tune. The proposed DC MicroGrid and its control are then verified either by computer simulations and by experiments. The results show the good performance of the system under variations on production and on consumption. Finally, the proposed scheme is compared to standard PI based controls, with better performance with simpler tuning procedure.