Fast model-based extremum seeking on Hammerstein plants

Abstract

Ahstract-Partial plant knowledge may be used to develop model-based extremum seekers, however existing results rely on a type of time-scale separation which leads to slow optimization relative to the plant dynamics. In this work, a fast model-based extremum seeking scheme is proposed for a Hammerstein plant, and semi-global stability results are provided. Simulation results are used to validate the theoretical results.

Fast extremum seeking on Hammerstein plants: A model-based approach

“…The existence of such a Lyapunov function V u (ũ) can be satisfied implicitly through a converse Lyapunov method for any asymptotically stable optimizer. The analysis for a special class of gradient descent optimizer is given in Sharafi et al (2013).…”

“…The idea of using a high dither frequency within a model-based framework was initially proposed in Sharafi, Moase, Shekhar, and Manzie (2013). It was motivated mainly to benefit from the advantages offered by both high dither frequency and model-based approaches.…”