Advances in feedback control of the Rijke tube thermoacoustic instability

Abstract

This paper considers methods for the feedback control of thermoacoustic oscillations. Two distinct approaches to the problem are considered. The first is robust model-based control, which involves two stages: finding a model of the system, and designing a controller based on that model. The focus is on using model reduction techniques to find a low-order, balanced model of the Rijke tube which, despite having few degrees of freedom, is useful for feedback control design purposes. The second approach uses adaptive (or self-tuning) control, which does not require a model of the system, but instead requires that it meets some general properties. The focus here is on reducing how much must be kn..