Abstract

SummaryThis article proposes an extremum‐seeking control design that achieves finite‐time stability of the optimum of an unknown measured cost function. The finite‐time extremum‐seeking control technique is shown to achieve finite‐time practical stability of the optimum of the cost function. The main characteristic of the proposed extremum seeking control approach is that the corresponding target averaged system achieves finite‐time stability. A simulation study is presented to demonstrate the effectiveness of the approach.

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