Nonlinear robust disturbance rejection controllers for rotating stall and surge in axial flow compressors

In this paper we develop globally stabilizing robust/disturbance rejection controllers for rotating stall and surge in axial flow compressors with uncertain system dynamics and exogenous disturbances. Specifically, using the nonlinearnonquadratic disturbance rejection optimal control framework for systems with bounded energy (square-integrable) L2 disturbances developed in [15] and the nonlinear-nonquadratic robust optimal control framework for systems with nonlinear structured parametric uncertainty developed in [16], a family of globally robustly stabilizing controllers for jet engine compression systems is developed. The proposed controllers are compared with the locally stabilizing bifurcation-based controllers of [17]–[20] and the recursive backstepping controllers of [21].