Local L2 Gain of Axial-Flow Compressor Control

Feedback control has been pursued to stabilize the bifurcated operating solution near the rotating stall point in axial flow compressors. These controllers can extend the stable operating range and hence improve engine performance. However, the local L₂ gain of these controllers still remains unknown. In this paper, a family of Lyapunov functions is first constructed, and then the local L₂ gain is derived through Hamilton-Jacobi-Bellman (HJB) inequality for a class of stabilizing controllers with throttle position as actuator and pressure rise as measurement