引用本文:陈华东,蒋 平.基于未知控制增益的非线性系统自适应迭代反馈控制(英文)[J].控制理论与应用,2003,20(5):691~694.[点击复制]
CHEN Hua-dong,JIANG Ping.Adaptive iterative feedback control for nonlinear system with unknown control gain[J].Control Theory and Technology,2003,20(5):691~694.[点击复制]
基于未知控制增益的非线性系统自适应迭代反馈控制(英文)
Adaptive iterative feedback control for nonlinear system with unknown control gain
摘要点击 1348  全文点击 1340  投稿时间:2001-12-14  修订日期:2003-03-03
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DOI编号  10.7641/j.issn.1000-8152.2003.5.008
  2003,20(5):691-694
中文关键词  自适应迭代反馈控制  未知控制增益  重复跟踪
英文关键词  adaptive iterative feedback control  unknown control gain  repetitive tracking
基金项目  
作者单位E-mail
陈华东 同济大学 信息与控制工程系, 上海 200092 hd-chen@sohu.com 
蒋 平 同济大学 信息与控制工程系, 上海 200092 p.jiang@gcal.ac.uk 
中文摘要
      针对一类单输入单输出不确定非线性重复跟踪系统, 提出一种基于完全未知控制增益的自适应迭代反馈控制. 与普通迭代学习控制需要学习增益稳定性前提条件不同, 所提自适应迭代反馈控制律通过不断修改Nuss baum形式的反馈增益达到收敛. 证明当迭代次数i→δ时, 重复跟踪误差可一致收敛到任意小界δ. 仿真显示了所提控制方法的有效性.
英文摘要
      An adaptive iterative feedback control approach was proposed for a class of single-input, single-output uncertain nonlinear systems with completely unknown control gain. Unlike the ordinary iterative learning control which required some preconditions of stability on the learning gain, the adaptive iterative feedback control achieved the convergence through an unknown feedback gain in a Nussbaum-type function. It was proved that the repetitive tracking error sequence was asymptotic to the interval ([-δ,δ]) for arbitrary prescribed δ>0 when iterations go to infinity. Simulation is carried out to show the validity of the proposed method.