Newton-Like Extremum-Seeking Part II: Simulations and Experiments

Abstract

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 phase-shift 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 ..