Globally stabilizing controllers for multi-mode axial flow compressors 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

Volume

2

fYear

1997

fDate

4-6 Jun 1997

Firstpage

993

Abstract

Compressor aerodynamic instabilities can have adverse effects on compression system performance. In this paper we develop a multimode 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 multimode 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; control system synthesis; nonlinear control systems; stability; Lyapunov stability theory; compression system performance; compressor aerodynamic instabilities; control-system design processes; converging attraction domains; disturbance velocity potential harmonics; equilibria-dependent Lyapunov functions; flow equations; globally stabilizing controllers; multimode axial flow compressors; nonlinear control design; nonlinear globally stabilizing control; rotating stall; surge; Aerodynamics; Compressors; Control design; Equations; Lyapunov method; Process control; Process design; Surges; System performance; Velocity control;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.609675

Filename

609675