非线性标量系统的三单元全局极值搜索算法研究

摘要

Multi-unit global extremum seeking algorithm usually controls multiple identical units synchronously. Two-unit global extremum seeking algorithm only deal with situation of two units. Its direction is blind and it is likely to deviate from global optimal solution. A kind of multi-unit algorithm is presented' containing three identical independent units, Switching logic control law is designed to prove the convergence of the algorithm. Simulation shows that: three-unit global extremum seeking algorithm can avoid the blind search process and improve some units ' convergence.%传统多单元全局极值搜索算法仅对两个相同独立单元组成的并联系统进行实时控制,且极值搜索方向具有盲目性,容易偏离全局极值点而影响算法收敛性.提出了一种适用于含三个相同独立单元的多单元全局极值搜索算法,采用切换逻辑设计了切换控制律.证明了算法的收敛性.通过仿真对比说明:三单元全局极值搜索算法,搜索到全局极值的同时,有效地避免盲目的搜索过程,并改善了部分单元的收敛性.