Control of self-oscillating systems

Author

Pourhiet, Al Le ; Correge, M. ; Caruana, D.

Author_Institution

ONERA, France

Volume

150

Issue

6

fYear

2003

Firstpage

599

Lastpage

610

Abstract

In order to obtain a mathematical model of a self-sustained oscillation, a Van der Pol oscillator can be enhanced upstream and downstream with transfer functions identified from measurements. Using a specific engineering control technique, the above model has been used to define a control law aimed at suppressing the oscillation. The method has been applied to a two-dimensional buffet observed on an airfoil in a wind tunnel. The results obtained by applying this law confirmed the authors theory, thus, validating the principles of this type of modelling and design. The same method was successfully applied to the Greitzer model of a compressor surge.

Keywords

aircraft control; compressors; control system synthesis; fluid oscillations; nonlinear control systems; relaxation oscillators; robust control; surge protection; synchronisation; transfer functions; Greitzer model; Van der Pol oscillator; airfoil; compressor surge; control design; control law; engineering control technique; input disturbance robustness; mathematical model; modelling; nonlinear function; oscillation suppression; self-oscillating systems; self-sustained oscillation; synchronisation threshold; transfer functions; transonic flow conditions; two-dimensional buffet; wind tunnel;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:20030696

Filename

1252867