| 引用本文: | 田森平,谢胜利,何刚.一类退化系统目标跟踪学习控制的吸引流形方法[J].控制理论与应用,2007,24(1):25~31.[点击复制] |
| TIAN Sen-ping,XIE Sheng-li,HE Gang.Attractive manifold method for targettracking learning control of a class of degenerate systems[J].Control Theory and Technology,2007,24(1):25~31.[点击复制] |
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| 一类退化系统目标跟踪学习控制的吸引流形方法 |
| Attractive manifold method for targettracking learning control of a class of degenerate systems |
| 摘要点击 1359 全文点击 937 投稿时间：2005-05-30 修订日期：2006-02-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.1.005 |
| 2007,24(1):25-31 |
| 中文关键词 退化系统 目标跟踪 迭代学习控制 吸引流形 |
| 英文关键词 degenerate systems target
tracking iterative learning control attractive manifold |
| 基金项目 国家自然科学基金资助项目 60674034 |
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| 中文摘要 |
| 针对一类退化系统目标跟踪的迭代学习控制问题进行了探讨.
这类系统不满足目前对迭代学习控制通常所要求的收敛性条件,
从而使得学习控制方法在这类系统上的应用遇到困难. 为了解决这类问题,
提出了一种新的设计方案----吸引流形方法.
通过构造一个相应于所给系统稳定而吸引的流形,
且在构造的过程中同时设计出学习控制函数序列,
以使完成对所给期望目标的跟踪. 同时也讨论了这种方法的可实现问题.
另外, 该方法可无本质困难地应用到相应的非线性系统上. |
| 英文摘要 |
| The
target tracking iterative learning control problem is discussed for
a class of degenerate systems which do not satisfy the convergence
condition. In this case, general learning control methods will
suffer more or less difficulties when applying to this kind of
systems. To solve this problem, we present a new method---attractive
manifold method in which a stable and attractive manifold
corresponding to the given system is constructed, and the learning
control function sequence is designed simultaneously so as to
realize the tracking of the expected target. We also study the
feasibility of this newly presented method. In addition, the new
method can also be applied to relevant nonlinear systems without any
essential difficulties. |
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