一类非线性系统的迭代学习控制

沈栋;陈翰馥

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (9) : 1053-1064.

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系统科学与数学 ›› 2008, Vol. 28 ›› Issue (9) : 1053-1064. DOI: 10.12341/jssms10185
论文

一类非线性系统的迭代学习控制

    沈栋,陈翰馥
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Iterative Learning Control for a Class of Nonlinear Systems

    SHEN Dong, CHEN Hanfu
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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.

Abstract

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.

Key words

Nonlinear system / iterative learning control / measurement noise / dead-zone / pre-load / saturation / stochastic approximation.

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沈栋 , 陈翰馥. 一类非线性系统的迭代学习控制. 系统科学与数学, 2008, 28(9): 1053-1064. https://doi.org/10.12341/jssms10185
SHEN Dong , CHEN Hanfu. Iterative Learning Control for a Class of Nonlinear Systems. Journal of Systems Science and Mathematical Sciences, 2008, 28(9): 1053-1064 https://doi.org/10.12341/jssms10185
中图分类号： 93E11   
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