| 引用本文: | 戴喜生,郭亚君,田森平,李克讷.非线性抛物型偏差分系统迭代学习控制[J].控制理论与应用,2015,32(12):1607~1612.[点击复制] |
| Dai Xi-sheng,GuoYajun,Tian Senping,Li kene.Iterative learning control of nonlinear parabolic partial difference systems[J].Control Theory and Technology,2015,32(12):1607~1612.[点击复制] |
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| 非线性抛物型偏差分系统迭代学习控制 |
| Iterative learning control of nonlinear parabolic partial difference systems |
| 摘要点击 1716 全文点击 1914 投稿时间：2015-03-25 修订日期：2015-06-20 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2016.50230 |
| 2015,32(12):1607-1612 |
| 中文关键词 迭代学习控制 收敛性分析 偏差分系统 非线性 |
| 英文关键词 iterative learning control convergence analysis partial difference systems nonlinear |
| 基金项目 国家自然科学基金项目(61364006, 61374104), 广西优秀中青年骨干教师培养工程, 广西高等学校科研一般项目(2013YB175)资助. |
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| 中文摘要 |
| 本文研究了一类时空离散的非线性抛物型偏差分系统的迭代学习控制问题. 首先, 针对系统含有不确定系
数与非线性特点, 设计了开环P型迭代学习控制算法; 然后, 建立了输出跟踪误差沿迭代轴收敛的充分条件, 并利用
离散Gronwall不等式、范数以及压缩映射原理, 详细给出了收敛性分析证明. 最后通过仿真实例说明了算法的有
效性. |
| 英文摘要 |
| The iterative learning control (ILC) technique is applied to a class of spatial-temporal discrete nonlinear
parabolic partial difference systems. For the discussion purpose, an open-loop P-type iterative learning algorithm is designed
for the systems containing uncertain coefficients and nonlinear terms. Then, the sufficient condition of the tracking
error to converge is established, and the convergence analysis is discussed using discrete Gronwall inequality, -norm and
the contraction mapping principle. Furthermore, a simulation example is given to illustrate the effectiveness of the proposed
algorithm. |
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