Output-Feedback Semiglobal Stabilization of Stall Dynamics for Eliminating Hysteresis and Surge in Axial-Flow Compressors

摘要

This paper deals with the use of feedback control to eliminate the problems of hysteresis and surge associated with axial-flow compressors. We present a dynamic feedback controller that semiglobally stabilizes every rotating stall equilibrium, and a range of axisymmetric equilibria of the Moore-Greitzer model for axial-flow compressors. The dynamic controller combines a two-state-feedback back-stepping controller from the literature with a nonlinear high-gain observer that estimates the mass flow through the compressor from measurements of the pressure rise across it. Given an equilibrium and a compact inner bound on the domain of attraction, we use Lyapunov techniques to compute an explicit lower bound on the observer gain such that the specified equilibrium is asymptotically stable for the closed-loop system with a domain of attraction that contains the specified inner bound. Simulation results are used to demonstrate that the closed-loop compressor does not exhibit hysteresis and surge oscillations even in response to large and sudden changes in the throttle setting.