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

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3 Author(s)
Leonessa, A. ; Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Chellaboina, V. ; Haddad, M.M.

We develop globally robustly stabilizing controllers for rotating stall and surge in multimode axial flow compressor models with uncertain pressure-flow compressor performance characteristic maps. Specifically, using Lyapunov stability theory, a switching 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 the equilibria-dependent Lyapunov functions are predicated is characterized by the axisymmetric stable pressure-flow equilibrium branch of the nominal compression system. The proposed robust nonlinear control framework is directly applicable to uncertain compression systems with actuator amplitude and rate saturation constraints while providing a guaranteed domain of attraction. An application to a two-mode axial flow compressor with an uncertain pressure-flow map and rate saturation control constraints is presented

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Control Systems Technology, IEEE Transactions on  (Volume:8 ,  Issue: 3 )