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

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 nonlinear-nonquadratic disturbance rejection optimal control framework for systems with bounded energy (square-integrable) L₂ disturbances developed in Haddad et al. (1997) and the nonlinear-nonquadratic robust optimal control framework for systems with nonlinear structured parametric uncertainty developed in Haddad et al. (1997), a family of globally robustly stabilizing controllers for jet engine compression systems is developed. The proposed controllers are compared with locally stabilizing bifurcation-based controllers and recursive backstepping controllers