Four switch Buck boost (FSBB) converters are widely used in the fields of new energy and DC interconnection due to their ability to convert DC voltage up and down and bidirectional power flow. Quadrilateral inductor current control (QCM) can achieve zero voltage conduction (ZVS), but under heavy loads, QCM control has problems such as large frequency changes, on state losses, and increased current stress. Therefore, this article compares and analyzes the changes in efficiency and current stress indicators of dual-mode control and quadrilateral inductor current control under fixed frequency conditions. Based on the comprehensive indicators of efficiency and current stress, a multi-mode control strategy for optimizing the efficiency and current stress of FSBB converters is proposed. A 750 W DC-DC prototype is built to verify the effectiveness of theoretical analysis and the proposed control scheme for the comprehensive optimization of FSBB converter efficiency and current stress.