Iterative learning control nonlinear algorithms based on vector plots analysis
基于向量图分析的迭代学习控制非线性算法

A new approach to seek the research method of the iterative learning control is proposed,which is completely different from Arimoto's idea.The purpose of the attempt is to establish the geometrical theory of iterative learning control.Based on the mathematical geometrical analysis,this paper obtains a class of new fast algorithms of iterative learning control by analyzing the vector plots of the basic algorithms.Then,for the new structure of algorithms,a complete theoretical analysis of convergence is given.The new algorithm is different from the algorithms of iterative learning control proposed recently,and is with nonlinear structure.Simulations illustrate the effectiveness and superiority of the new algorithms.