On global extremum seeking in the presence of local extrema
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2009-01-01
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Automatica
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PERGAMON-ELSEVIER SCIENCE LTD
Melbourne Authors
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Electrical and Electronic Engineering
Mechanical Engineering
Mechanical Engineering
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Journal Article
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Tan, Y., Nesic, D., Mareels, I. M. Y. & Astolfi, A. (2009). On global extremum seeking in the presence of local extrema. AUTOMATICA, 45 (1), pp.245-251. https://doi.org/10.1016/j.automatica.2008.06.010.
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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.