Quenching oscillations in combustion instabilities using model-based closed-loop multiplicative control

This papers deals with active control of combustion instabilities through measurement and feedback of pressure oscillations. The measurement is used to construct a multiplicative feedback control. The aim of such a control is to quench the oscillations associated with the instability associated with lean pre-mixed combustion. This quenching is analyzed using the Krylov-Bogoliubov approach applied to a tractable gray-box model of the underlying process and fitted using experimental data. A linear and a nonlinear feedback law are considered and conditions for quenching the oscillations established. Both give successful results verified by the simulation tests.