English

Adaptive Extremum Seeking Using Recursive Least Squares

Systems and Control 2020-03-10 v1 Systems and Control

Abstract

Extremum seeking (ES) optimization approach has been very popular due to its non-model based analysis and implementation. This approach has been mostly used with gradient based search algorithms. Since least squares (LS) algorithms are typically observed to be superior, in terms of convergence speed and robustness to measurement noises, over gradient algorithms, it is expected that LS based ES schemes will also provide faster convergence and robustness to sensor noises. In this paper, with this motivation, a recursive least squares (RLS) estimation based ES scheme is designed and analysed for application to scalar parameter and vector parameter static map and dynamic systems. Asymptotic convergence to the extremum is established for all the cases. Simulation studies are provided to validate the performance of proposed scheme.

Keywords

Cite

@article{arxiv.2003.03891,
  title  = {Adaptive Extremum Seeking Using Recursive Least Squares},
  author = {Nursefa Zengin and Baris Fidan},
  journal= {arXiv preprint arXiv:2003.03891},
  year   = {2020}
}

Comments

6 pages, 8 figures, will be submitted to L-CSS with CDC Option 2020

R2 v1 2026-06-23T14:08:11.571Z