论文标题
通过超级寻求优化统一的准征孔优化
Uniform quasi-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。然后使用这些属性来证明该方案可以确保尽管存在局部鞍点，但尽管存在局部鞍点，但全球最小值实际上是半全球稳定的。为了实现这些结果，我们通过基于傅立叶系列的参数分析了与极端寻求方案相关的平均系统。
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 saddle points. To achieve these results, we analyse the average system associated with the extremum seeking scheme via arguments based on the Fourier series.
