Control of the three state Moore-Greitzer compressor model using a close-coupled valve

In this paper we propose surge and stall controllers for a close coupled valve in a compression system. A Moore-Greitzer model is presented for the compressor and the valve. The valve modifies the characteristics of the compressor and allows for stable operation beyond the original surge line. The design tool used is backstepping. Under the assumption of no disturbances, global uniform asymptotic stability is proven using feedback from mass flow. In the case of mass flow and pressure disturbances, a damping term is included in the controller, and feedback from mass flow and pressure is employed. Global uniform boundedness is proven. The proposed controllers do not rely on feedback from rotating stall amplitude.