The non-isolated bidirectional DC/DC converter is widely used in composite power storage systems. Using two-way interleaved topology can effectively reduce the output voltage and current ripple of DC/DC converters. In order to improve the dynamic performance and overload protection of bidirectional DC/DC converter，The paper based on the supercapacitor-based standby power storage system, analyzes the modes of the two-way interleaved Buck/Boost converter in Boost mode as models, and the working processes of each mode are introduced in detail. The original large-signal model is derived. On the basis of the small signal linearization method, the AC small-signal state equation and its equivalent circuit model are further derived, and the transfer function of it is obtained. Based on this design, the compensation network of the controller is optimized, and the stability and transient response speed of the system are improved. Finally, the experimental verification is carried out. The results show that the double-closed loop control strategy achieves constant voltage current limiting and can respond quickly, it meets the needs of practical engineering application.