Finite-time extremum seeking control for a class of unknown static maps

This 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.