Stabilization of the full model compression system

Stability of compression systems is a major concern in the study of aerodynamics. This paper considers feedback stabilization for compressor systems based on Moore-Greitzer PDE model (1986) with general compressor characteristics. The formulation and discussion of the model is completely in the framework of distributed parameter systems. The asymptotic behavior of the full model is characterized by using semigroup theory and ω-limit set theory. Based on that, we derive a nonlinear feedback stabilization controller and show that if the initial condition smooth enough, the closed-loop system is strongly stable, and otherwise it is weakly stable. We also discuss the control of multimode dynamics by using Galerkin-type projection of the full model