This paper proposes a Finite Control Set Model Predictive Control (FCS-MPC) strategy for a Dual Active Bridge (DAB) converter to improve the efficiency of electrolyzers in hydrogen production systems. The DAB converter's bidirectional power flow and high efficiency make it vital in renewable energy applications. This method supports the advancement of hydrogen-based energy systems, addressing the critical challenges in electrolyzers: efficiency and power quality.FCS-MPC predicts the system's behavior by evaluating discrete switching states and selecting the optimal state to minimize a cost function. This method reduces computational complexity, enables real-time implementation, and ensures precise power regulation with minimal switching losses. The control simplicity contributes to sustainable energy technologies.Simulation results validate the proposed strategy, demonstrating enhanced efficiency, improved dynamic performance, and robustness under varying loads and uncertainties. The FCSMPC approach offers a simple, effective, and scalable solution for modern power electronics.