Journal article
On global extremum seeking in the presence of local extrema
Y Tan, D Nesic, IMY Mareels, A Astolfi
AUTOMATICA | PERGAMON-ELSEVIER SCIENCE LTD | Published : 2009
Abstract
We propose a global extremum seeking scheme which can seek the global optimal value in the presence of local extrema. It is shown that the proposed global extremum seeking scheme can converge to an arbitrarily small neighborhood of the global extremum from an arbitrarily large set of initial conditions if sufficient conditions are satisfied. A simple example illustrates the effectiveness of the proposed scheme.
Grants
Awarded by Australian Research Council
Funding Acknowledgements
This research is supported by the Australian Research Council under the Discovery Grant DP0344784. This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Zongli Lin under the direction of Editor Hassan K. Khalil.