Accelerating Extremum Seeking Convergence by Richardson Extrapolation Methods

TL;DR

This paper introduces a method to accelerate the convergence of extremum seeking loops by analyzing their dynamics and applying Richardson extrapolation, enabling faster identification of the system's optimal point.

Contribution

It presents a novel approach to speed up extremum seeking convergence using Richardson extrapolation based on dynamic analysis of ES loops.

Findings

Accelerated convergence demonstrated through theoretical analysis.

Structural information extraction from ES loop dynamics.

Faster limit estimation without waiting for full convergence.

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.