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.

中文翻译：

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一类未知静态映射的有限时间极值求控制

本文提出了一种极值寻求控制设计，可实现未知测量成本函数的最优值的有限时间稳定性。有限时间极值搜索控制技术被证明可以实现成本函数最优值的有限时间实际稳定性。所提出的极值搜索控制方法的主要特点是相应的目标平均系统实现了有限时间稳定性。一个模拟研究被提出来证明该方法的有效性。