论文标题
通过超级寻求优化统一的非凸优化
Uniform non-convex optimisation via Extremum Seeking
论文作者
论文摘要
本文通过证明抖动信号幅度和成本函数的均匀性来处理众所周知的超级寻求方案。然后使用这些特性来证明该方案确保尽管存在局部最小值，但尽管存在局部最小值，但全球最小化的实际上是半全球稳定的。在假设全球Lipschitz成本函数的假设下，这表明该方案通过高通滤波器改进，使全球最小化器实际上具有具有吸引力的全球领域。
The paper deals with a well-known extremum seeking scheme by proving uniformity properties with respect to the amplitudes of the dither signal and of the cost function. Those properties are then used to show that the scheme guarantees the global minimiser to be semi-global practically stable despite the presence of local minima. Under the assumption of a globally Lipschitz cost function, it is shown that the scheme, improved through a high-pass filter, makes the global minimiser practically stable with a global domain of attraction.
