Robust stabilization of axial flow compressors with uncertain pressure-flow maps

We develop globally robustly stabilizing controllers for rotating stall and surge in multi-mode axial flow compressor models with uncertain pressure-flow compressor performance characteristic maps. Specifically using Lyapunov stability theory, a novel nonlinear globally robustly stabilizing control law based on equilibria-dependent Lyapunov functions with converging domains of attraction is developed. The locus of the equilibrium points on which equilibria-dependent Lyapunov functions are predicted is characterized by the axisymmetric stable pressure-flow equilibrium branch of the nominal compression system. The proposed robust nonlinear control framework is applied to a two-mode axial flow compressor with an uncertain pressure-flow map.