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中国科学院大学学报 ›› 2011, Vol. 28 ›› Issue (3): 366-374.DOI: 10.7523/j.issn.2095-6134.2011.3.014

• 论文 • 上一篇    下一篇

线性时变系统变初始条件变期望轨迹的迭代学习控制

戴辉1,2, 卢益民2   

  1. 1. 海南软件职业技术学院, 琼海 571400;
    2. 华中科技大学电子与信息工程系, 武汉 430074
  • 收稿日期:2010-04-15 修回日期:2010-07-21 发布日期:2011-05-15
  • 基金资助:

    Supported by the National Natural Science Foundation of China (60874116) and Natural Science Foundation of Hainan province (610227) 

Iterative learning control for linear time-variant continuous systems with iteration-varying initial conditions and reference trajectories

DAI Hui1,2, LU Yi-Min2   

  1. 1. Hainan Software Professional Institute, Qionghai 571400, China;
    2. Department of Electronic & Information, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2010-04-15 Revised:2010-07-21 Published:2011-05-15
  • Supported by:

    Supported by the National Natural Science Foundation of China (60874116) and Natural Science Foundation of Hainan province (610227) 

摘要:

对于非严格重复线性时变连续系统,初始迭代条件和参考轨迹在一定带宽范围内都是迭代变化的.提出一种非严格的迭代学习方法来控制跟踪整流.通过该方法所获得的控制器,能保证闭环系统的所有信号是全局有界的,能够使超出初始时间间隔的输出跟踪误差收敛到一个小的残差集内,该残差集大小取决于输入矩阵的估测误差.尤其是当输入矩阵已知的情况下,能够让超出的初始时间间隔输出跟踪误差趋近于零.

关键词: 线性时变系统, 变初始条件, 迭代变期望轨迹, 迭代学习控制

Abstract:

For non-strictly repetitive linear time-variant continuous systems, both the iterative initial conditions and the reference trajectories are iteration-varying within a bound. We present a kind of iterative learning controller with a rectifying action to the non-strictly repetitive tracking. The proposed controller can make the output tracking error beyond the initial time interval converge to a residual set whose size depends on the estimation error of input matrix. Especially, when the accurate input matrix is known, the output tracking error beyond the initial time interval can approach zero.

Key words: iteration-linear time-variant continuous systems, varying initial conditions, iteration-varying reference trajectories, iterative learning control

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