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线性时变系统变初始条件变期望轨迹的迭代学习控制
引用本文:戴辉,卢益民.线性时变系统变初始条件变期望轨迹的迭代学习控制[J].中国科学院研究生院学报,2011,28(3).
作者姓名:戴辉  卢益民
作者单位:1. 海南软件职业技术学院,琼海,571400;华中科技大学电子与信息工程系,武汉,430074
2. 华中科技大学电子与信息工程系,武汉,430074
基金项目:Supported by the National Natural Science Foundation of China(60874116); 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

Iterative learning control for linear time-variant continuous systems With iteration-varying initial Conditions and reference trajectories
DAI Hui,LU Yi-Min.Iterative learning control for linear time-variant continuous systems With iteration-varying initial Conditions and reference trajectories[J].Journal of the Graduate School of the Chinese Academy of Sciences,2011,28(3).
Authors:DAI Hui  LU Yi-Min
Institution:DAI Hui1,2,LU Yi-Min2(1 Hainan Software Professional Institute,Qionghai 571400,China,2 Department of Electronic & Information,Huazhong University of Science and Technology,Wuhan 430074,China)(Received 15 April 2010,Revised 21 July 2010)
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.
Keywords:iteration-linear time-variant continuous systems  varying initial conditions  iterationvarying reference trajectories  iterative learning control CLC TP18
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