Output Feedback Stabilization of the Moore-Greitzer Compressor Model

This paper presents a number of facts related to the output feedback stabilization of the Moore-Greitzer compressor model. We show that quadratic feedback stabilization of the surge subsystem of the three-state Moore-Greitzer compressor model, which ensures absence of additional equilibria and cycles in the closed-loop system augmented with stall dynamics, implies convergence of all solutions to the unique equilibrium at the origin. Then some steps in developing such output feedback controller for surge subsystem are discussed.