Abstract
In this study, the authors address the problem of reaching a given percentage of an optimal cost, so as to guarantee a known reserve with respect to the optimum. This reserve aims to counteract fast changes in the operating conditions. The authors assume that the analytical expression of the cost function is not available. To tackle this problem, they propose a novel extremum seeking scheme, the sub-optimal extremum seeking, that is able to keep a given margin with respect to the estimated optimal cost. Stability properties of the control scheme are proved and the effectiveness of the approach is validated in simulation.
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