双变量多单元半全局极值搜索算法研究

Research on Double Variables Multi-Unit Semi-Global Extremum Seeking Algorithm

传统的双变量多单元半全局极值搜索算法虽然可以放宽目标函数的限制条件,但是它只适用于静态系统的分析。针对动态系统,研究了双变量多单元半全局极值搜索算法,提出了1种利用单元的输入和动态误差项构造李亚普诺夫函数的方法,并且证明了算法稳定性。最后,针对典型通用多极值测试函数进行了数字仿真研究。

Traditional double variables multi-unit semi-global extremum seeking algorithm has got rid of the restriction of objective function,which is limited to nonlinear scalar system.This article focuses on the study of the double variables multi-unit semi-global extremum seeking algorithm for dynamic systems.A method is proposed to construct the Lyapunov function using the input of the unit and dynamic error terms,and the stability of the algorithm is proven.Finally,numerical simulation studies are conducted on typical general multi-extremal test functions.