摘要
针对一类目标函数受预设性能函数限定的严格反馈极值搜索系统的控制问题,将极值搜索控制、预设性能控制、反演控制相结合,提出一种预设性能反演控制器设计方法.针对极值搜索系统的目标函数构造新型的性能函数;利用性能函数对系统进行函数变换,构建等效简单变换模型;基于变换模型,利用反演控制方法逐步递推选取适当的Lyapunov函数进行控制器设计,以实现在对目标函数搜索到极值的同时保证预设性能指标.最后通过数值仿真验证了所提出方法的有效性.
To solve control problems of the strict-feedback extremum seeking system with the objective function is limited by the prescribed performance function, extremum seeking control, prescribed performance control and backstepping control are combined, and a novel prescribed performance backstepping control method is proposed. The new performance function constructed for the objective function and functional transformation are used to construct the equivalent simple transformation model, the backstepping controller is designed based on the transformation model and the appropriate Lyapunov function selected by using the recurrence method, and the objective function extremum is searched and prescribed performance index is realized. Simulation result shows the effectiveness of the proposed design method.
出处
《控制与决策》
EI
CSCD
北大核心
2016年第9期1585-1588,共4页
Control and Decision
基金
国家自然科学基金项目(60674090)
中国博士后科学基金项目(2015M572693)
关键词
严格反馈
极值搜索
预设性能
反演控制
strict feedback
extremum seeking
prescribed performance
backstepping control
