| 线性广义系统的D型迭代学习控制 |
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| 引用本文： | 李必文,郑绿洲,陈伯山.线性广义系统的D型迭代学习控制[J].华中科技大学学报(自然科学版),2007,35(5):34-37. |
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| 作者姓名： | 李必文 郑绿洲 陈伯山 |
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| 作者单位： | 1. 华中科技大学,数学系,湖北,武汉,430074;湖北师范学院,数学系,湖北,黄石,435002
2. 湖北师范学院,数学系,湖北,黄石,435002 |
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| 基金项目： | 中国博士后科学基金
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湖北省教育厅青年基金
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湖北省教育厅优秀团队项目 |
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| 摘 要： | 根据误差收敛准则,提出了线性广义系统的迭代学习控制算法,利用矩阵理论及不等式技巧给出了线性定常广义系统在D型学习律作用下的迭代控制收敛性结果,这一结果是全新的,其对时变系统也成立;另外,针对线性定常广义离散时间系统,给出了一种通过最优化目标函数确定控制器参数的设计方法.
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| 关 键 词： | 广义系统 迭代学习控制 D型学习律 线性广义系统 迭代 学习控制算法 generalized systems linear class iterative learning control 设计方法 控制器参数 优化目标函数 离散时间系统 时变系统 结果 收敛性 作用 学习律 线性定常 技巧 不等式 矩阵理论 |
| 文章编号： | 1671-4512(2007)05-0034-04 |
| 修稿时间： | 03 29 2006 12:00AM |
Analysis of D-type iterative learning control for a class of linear generalized systems |
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| Li Biwen,Zheng Luzhou,Chen Boshan.Analysis of D-type iterative learning control for a class of linear generalized systems[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(5):34-37. |
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| Authors: | Li Biwen Zheng Luzhou Chen Boshan |
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| Institution: | 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China; 2. Department of Mathematics, Hubei Normal University, Huangshi 435002, Hubei China |
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| Abstract: | Based on the criterion of error convergence,an iterative learning control theory for a class of linear generalized systems was presented in this paper and by using the Matrix theory and differential inequality technique,the convergence condition of the D-type iterative learning control,which is suitable for generalized discre-time systems,was analyzed for the systems.Our results were verified.Specially,a learning control solution to the problem of finding a finite-time optimal control history that minimizes a quadratic cost was presented for the generalized discrete-time systems. |
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| Keywords: | generalized systems iterative learning control D-type learning |
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