Accelerating Extremum Seeking Convergence by Richardson Extrapolation Methods

Abstract

In this paper, we propose the concept of accelerated convergence that has originally been developed to speed up the convergence of numerical methods for extremum seeking (ES) loops. We demonstrate how the dynamics of ES loops may be analyzed to extract structural information about the generated output of the loop. This information is then used to distil the limit of the loop without having to wait for the system to converge to it.

24 pages, 8 Figures, Accepted to CDC22