In this paper me develop globally robustly stabilizing controllers for rota
ting stall and surge in multimode axial flow compressor models with uncerta
in pressure-flow compressor performance characteristic maps. Specifically,
using Lyapunov stability theory, a novel switching nonlinear globally robus
tly stabilizing control law based on equilibria-dependent Lyapunov function
s with converging domains of attraction is developed. The locus of the equi
librium points on which the equilibria-dependent Lyapunov functions are pre
dicated is characterized by the axisymmetric stable pressure-flow equilibri
um branch of the nominal compression system. The proposed robust nonlinear
control framework is directly applicable to uncertain compression systems w
ith actuator amplitude and rate saturation constraints while providing a gu
aranteed domain of attraction. An application to a two-mode axial flow comp
ressor with an uncertain pressure-flow map and rate saturation control cons
traints is presented.