Supercritical carbon dioxide(S-CO2) Brayton cycle has great development potential in the field of efficient utilization of clean energy represented by fourth-generation nuclear energy and solar energy. A reasonable and reliable control strategy is the key to ensure the safe, stable, efficient and flexible operation of the S-CO2 Brayton cycle system. This paper summarized the characteristics of S-CO2 Brayton cycle control, and summarized and compared the S-CO2 Brayton cycle control strategies under different application scenarios. The results show that the key control strategies of S-CO2 Brayton cycle include running state control, impeller machine control, heat source control, etc. The variable load control strategies mainly include volume control, turbine bypass control, turbine inlet throttle control, compressor speed control, etc. The analysis results provide a reference for the selection of S-CO2 Brayton cycle control strategies in related power generation fields.