| 具有控制时滞的不确定分布参数系统迭代学习控制 |
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| 引用本文： | 戴喜生,田森平.具有控制时滞的不确定分布参数系统迭代学习控制[J].系统工程与电子技术,2012,34(10):2117-2120. |
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| 作者姓名： | 戴喜生 田森平 |
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| 作者单位： | 1. 广西工学院电子信息与控制工程系, 广西 柳州 545006; 2. 华南理工大学系统工程研究所, 广东 广州 510640 |
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| 基金项目： | 国家自然科学基金(60674034);广西高等学校科研资助项目(201203YB125);广西工学院博士基金(03081520)资助课题 |
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| 摘 要： | 研究了具有控制时滞的不确定线性分布参数系统的迭代学习控制问题，允许系统在迭代过程中初始状态值存在一定偏差。提出了基于时滞已知的P型迭代学习控制算法，给出了其L2范数收敛的充分条件，并利用Green公式、以及Gronwall-Bellman不等式等从理论上进行收敛性证明。数值例子验证了该算法的有效性。
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| 关 键 词： | 迭代学习控制 分布参数系统 控制时滞 |
Iterative learning control for uncertain linear distributed parameter systems with control delay |
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| DAI Xi-sheng
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TIAN Sen-ping.Iterative learning control for uncertain linear distributed parameter systems with control delay[J].System Engineering and Electronics,2012,34(10):2117-2120. |
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| Authors: | DAI Xi-sheng TIAN Sen-ping |
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| Institution: | 1. Department of Electronic Information and Control Engineering, Guangxi University of Technology, Liuzhou 545006, China;2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | Under the condition that a certain error can exist in the initial value of system state in iterative processing, an iterative learning control problem for a class of uncertain linear distributed parameter systems with control delay is discussed. A P-type iterative learning algorithm based on the known time delay is presented, and the sufficient condition of L2 norm convergence is given. The convergence of the iterative algorithm is proved by using Green formula and Gronwall-Bellman inequality. A numerical example is addressed to illustrate the effectiveness of the proposed method. |
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