论文标题
基于输入的输入振荡，基于括号的近似值寻求
Lie Bracket Approximation-Based Extremum Seeking with Vanishing Input Oscillations
论文作者
论文摘要
近年来，一种实现极值寻求控制的方法使设计控制向量场是可能的，从而导致最小点的渐近稳定性，前提是该函数的最小值是先验的。在这项工作中，我们旨在放松这一假设。我们提出了一个寻求极值的控制法，该法律通过消失的控制振荡将最小点收敛，而无需访问成本函数的最低价值。我们提供了一个数字示例来支持我们的结果。
In recent years, an approach to extremum seeking control made it possible to design control vector fields that lead to asymptotic stability of the minimum point provided that the minimum value of the function is known a priori. In this work, we aim to relax that assumption. We propose an extremum-seeking control law that converges to the minimum point with vanishing control oscillations, without access to the minimum value of the cost function. We provide a numerical example to support our results.
