Plasma flow control can significantly improve the aerodynamic characteristics of aircraft and power plant through plasma aerodynamic actuation, and this technology has already become a front subject in international aerodynamics and aerothermodynamics fields. Status of overseas plasma flow control research is introduced briefly. Progress of Air Force Engineering University in plasma shock flow control theory, plasma aerodynamic actuation characteristics, plasma based compressor stability extension and shock control is presented. Also, the important problems in future are pointed out.