In this study, the main objective is to develop an energy management system to satisfy power production of a photovoltaic system with storage in building in tropical area. These projects are now the main challenge to participate in energy transition in key sectors like building. Furthermore, they enhance the resilience of the multi sources systems through a modern management hard skil based on artificial intelligence applied to renewable energies. We begin by the optimization of the PV system to enhance the production and at the end, a control and management of energy of the whole system is done. Adaptative technics based on Artificial Neural Networkare used for the optimization and system control due their good performances on non-linear applications. The energy management is an important task in hybrid system; it must have the ability to do the repartition of the energy in the different sources of the system. To meet demand, optimized energy must be distributed fairly in the whole system. The system is developed and simulated for a variation of the sunshine using MATLAB/Simulink. The simulation results indicate that the proposed controllers enhance the power of the system, a low harmonic distortion is noted and the management of the energyis assured in the whole system.