In order to improve the working process in dynamic performance of the hybrid power bi-directional DC/DC converter, R-S-T control strategy is put forward for three-channel staggered parallel bi-directional Buck/Boost converter. The working process of converter in Buck/Boost mode is analyzed by magnetic integration theory, AC small signal model is established and the transfer function from control variables to the state variables is obtained, based on which the R-S-T control system of bi-directional DC/DC converter is designed. Compared to traditional PI control method, R-S-T control strategy has better dynamic and steady-state response characteristics in controling three-channel staggered parallel bidirectional converter. Finally, the converter system is simulated by using Matlat/Simulink software. The simulation results show that the hybrid power bi-directional DC/DC converter based on R-S-T control has faster response speed, smaller overshoot volume, and stronger robustness.