Conference Proceedings
On stability properties of a simple extremum seeking scheme
Y Tan, D Nešić, I Mareels
Proceedings of the IEEE Conference on Decision and Control | Published : 2006
Abstract
In this paper, we introduce a simple extremum seeking scheme, which is the simplest variant of schemes considered in the literature. A new definition of semi-global practical asymptotic (SPA) stability uniform in small parameters is proposed. It is shown that the closed loop system with the extremum seeking controller is SPA stable in controller parameters. Several SPA stability results that require different tuning of parameters are presented under different conditions. We note that this simple extremum seeking scheme allows for a novel interpretation of the extremum seeking control via gradient optimization algorithms. © 2006 IEEE.
Grants
Awarded by Australia Research Council under Discovery
Awarded by Australian Research Council
Funding Acknowledgements
This research was supported by the Australia Research Council under the Discovery Project DP0344784.