一类非线性系统的迭代学习控制  

ITERATIVE LEARNING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS

作　　者：沈栋[1] 陈翰馥[1] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100190

出　　处：《系统科学与数学》2008年第9期1053-1064,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(60221301)资助课题.

摘　　要：讨论一类非线性系统的迭代学习控制,系统的非线性动态对状态不快于多项式增长,而量测方程含有噪声.控制序列并非直接输给系统,而是先经过死区、预载及饱和等非线性函数.递推地给出了学习控制序列,并证明它的有界性及最优跟踪性.The iterative learning control （ILC） is considered for a class of nonlinear systems, for which the dynamic nonlinearity grows up not faster than a polynomial as the state diverges and the observation equation is corrupted by noise. The control sequence cannot directly feed to the system but first has to pass through a nonlinear function such as the dead- zone, pre-load, and saturation etc. The iterative learning control sequence is recursively defined, and its boundedness and optimal tracking property are proved in the paper.

关 键 词：非线性系统 迭代学习控制 量测噪声 死区 预载 饱和 随机逼近 

分 类 号：O231.2[理学—运筹学与控制论]