| 引用本文: | 戴喜生,田森平.一阶强双曲分布参数系统的迭代学习控制[J].控制理论与应用,2012,29(8):1086~1089.[点击复制] |
| DAI Xi-sheng,TIAN Sen-ping.Iterative learning control for first order strong hyperbolic distributed parameter systems[J].Control Theory and Technology,2012,29(8):1086~1089.[点击复制] |
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| 一阶强双曲分布参数系统的迭代学习控制 |
| Iterative learning control for first order strong hyperbolic distributed parameter systems |
| 摘要点击 2590 全文点击 1740 投稿时间：2012-05-05 修订日期：2012-06-13 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.8.LCTA120452 |
| 2012,29(8):1086-1089 |
| 中文关键词 迭代学习控制 一阶双曲系统 Fourier变换 |
| 英文关键词 iterative learning control first order hyperbolic system Fourier transform |
| 基金项目 国家自然科学基金资助项目(60674034); 广西高等学校科研资助项目(201203YB125). |
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| 中文摘要 |
| 研究了一阶强双曲分布参数系统的迭代学习控制问题. 首先利用Fourier变换和半群方法导出了系统状态的适应解. 进而基于强双曲条件和Plancheral定理, 在允许迭代过程中初值存在一定偏差条件下, 给出并证明了系统在P型迭代学习控制算法下的收敛条件. 最后应用实例说明了所提方法的有效性. |
| 英文摘要 |
| An iterative learning control problem for first order strong hyperbolic distributed parameter systems is discussed. By means of Fourier transform and semigroup method, system state mild solution is built. Then, based on the strong hyperbolic condition and Plancheral theorem in Hilbert space, convergence conditions are given under P-type iterative learning control algorithms, where it is permitted to that the initial value of system state has some error in the iterative process. An example illustrate the effectiveness of the proposed method. |