%0 Journal Article
%T Iterative learning control nonlinear algorithms based on vector plots analysis<br>基于向量图分析的迭代学习控制非线性算法
%A XIE Sheng-li
%A TIAN Sen-ping
%A XIE Zhen-dong
%A <br>谢胜利
%A 田森平
%A 谢振东
%J 控制理论与应用
%D 2004
%I 
%X 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.
%K iterative learning control
%K vector plots analysis
%K nonlinear algorithm<br>迭代学习控制
%K 向量图分析
%K 非线性算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=4359F33FA28BC4D2&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=B31275AF3241DB2D&sid=9822743C2D2BE348&eid=2F26E27A20AEB31F&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=6&reference_num=10