Title :
Globally stabilizing controllers for multi-mode axial flow compressor models via equilibria-dependent Lyapunov functions
Author :
Leonessa, Alexander ; Chellaboina, Vijaya-Sekhar ; Haddad, Wassim M.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
Compressor aerodynamic instabilities can have adverse effects on compression system performance. In this paper we develop a multi-mode model for rotating stall and surge in axial flow compression systems that lends itself to the application of nonlinear control design. Using Lyapunov stability theory, a novel nonlinear globally stabilizing control law based on equilibria-dependent Lyapunov functions with converging domains of attraction is developed. The multi-mode model is used to show that the second and higher-order disturbance velocity potential harmonics in the flow equations strongly interact with the first harmonic during stall inception and must be accounted for in the control-system design processes
Keywords :
Lyapunov methods; compressors; flow control; harmonics; nonlinear control systems; robust control; state-space methods; surges; axial flow compressor; compressor models; control-system design; equilibria-dependent Lyapunov functions; globally stabilizing controllers; jet engine; nonlinear control; stability; state space model; velocity potential harmonics; Aerodynamics; Backstepping; Bifurcation; Control design; Lyapunov method; Process control; Process design; Surges; System performance; Velocity control;
Conference_Titel :
Control Applications, 1997., Proceedings of the 1997 IEEE International Conference on
Conference_Location :
Hartford, CT
Print_ISBN :
0-7803-3876-6
DOI :
10.1109/CCA.1997.627472
