Abstract: The hybrid power vehicle consisting of fuel cells and super capacitances is taken as the study object. The hybrid power system which consists of proton exchange membrane fuel cell as the main power sources and super capacitance as energy storage system is defined. On this basis, the mathematical models of fuel cell and super capacitance are introduced separately and then linearized around a selected optimal operating point. The mathematical model of the hybrid power system is built. Then the two energy sources of the hybrid power system are dealt with separately. According to the constraints of self performance on fuel cell and super capacitance, the energy distribution problem can be converted into an optimal control problem about fuel cell system. Then a linear quadratic state regulator with finite terminal time and the constrained control input is designed, whose controlling quantity is limited. Simulation results verify the feasibility of the design.