Active Stability Control(ASC) can suppress compressor rotating stall and avoid surge, consequently reduce stability margin, expand operating range and maximize compressor performance. Research progress is reviewed for ASC technology and its engineering applications. As ASC key technologies, the application limitation and developing trend of Moore-Greitzer-based compressor modeling method and the main active control method: modal control and nonlinear control were analyzed. the analysis may provide reference for compressor ASC theory research and engineering applications.