Newton-like extremum-seeking part II: Simulations and experiments

In the first instalment of this paper, a Newton-like extremum-seeking (ES) scheme was developed for application to problems involving optimisation of plants for which the curvature of input-output relationship is operating condition dependent. Strong operating condition dependence of the plant map curvature can be seen, for example, when using a phaseshift controller to reduce the limit-cycle pressure oscillations in a premixed gas turbine combustor experiencing thermoacoustic instability. In this paper, the behaviour of Newton-like ES is further explored in simple numerical simulations before being experimentally demonstrated in a phase-shift controller for the reduction of thermoacoustic oscillations in a model premixed combustor.