<p>The present work proposed a non-affine nonlinear air-supply subsystem model of proton exchange membrane fuel cell under a port-Hamiltonian framework. Furthermore, the control problem has been formulated in the port-Hamiltonian framework considering the balance between power consumption through the compressor and pressure distribution in the stack. Then, a novel passivity-based nonlinear control algorithm is developed via dynamic matching while preserving the port-Hamiltonian architecture. The main purpose of the control algorithm is to regulate the air-supply ratio and the excess oxygen in the optimal range. Finally, an explicit stability analysis of the closed-loop system is established, demonstrating that it is stable asymptotically in the domain of attraction. The simulation results demonstrate the effectiveness of the proposed control design approach.</p>