一类时滞非线性系统的采样迭代学习控制

方忠;韩正之;陈彭年

系统科学与数学 ›› 2004, Vol. 24 ›› Issue (4) : 564-570.

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PDF(275 KB)
系统科学与数学 ›› 2004, Vol. 24 ›› Issue (4) : 564-570. DOI: 10.12341/jssms10355
论文

一类时滞非线性系统的采样迭代学习控制

    方忠(1),韩正之(1),陈彭年(2)
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A SAMPLED-DATA ITERATIVE LEARNING CONTROL ALGORITHM FOR A CLASS OF DELAYED NONLINEAR SYSTEMS

    Zhong FANG(1),Zheng Zhi HAN(2),Peng Nian CHEN(3)
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摘要

本文针对一类时滞非线性系统提出一种采样迭代学习控制算法, 严格证明了该算法的指数收敛性.当系统满足所给出的条件时, 跟踪误差以指数速率收敛至一个与采样周期有关的误差范围内.

Abstract

A sampled-data iterative learning control algorithm is proposed for a class of nonlinear continuous-time systems with state delay. A sufficient condition for the exponential convergence of the proposed control algorithm is presented. The actual output exponentially converges to a neighborhood of the desired output in the entire time span. The neighborhood is small enough if the sampling period is small enough.

关键词

采样迭代学习控制 / 时滞非线性系统 / 指数收敛

Key words

Sampled-data iterative learning control / delayed nonlinear systems / exponential convergence.

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方忠 , 韩正之 , 陈彭年. 一类时滞非线性系统的采样迭代学习控制. 系统科学与数学, 2004, 24(4): 564-570. https://doi.org/10.12341/jssms10355
Zhong FANG , Zheng Zhi HAN , Peng Nian CHEN. A SAMPLED-DATA ITERATIVE LEARNING CONTROL ALGORITHM FOR A CLASS OF DELAYED NONLINEAR SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2004, 24(4): 564-570 https://doi.org/10.12341/jssms10355
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