| 一类非线性系统的迭代学习控制 |
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| 引用本文： | 沈栋,陈翰馥. 一类非线性系统的迭代学习控制[J]. 系统科学与数学, 2008, 28(9): 1053-1064 |
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| 作者姓名： | 沈栋 陈翰馥 |
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| 作者单位： | 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 国家自然科学基金(60221301)资助课题 |
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| 摘 要： | 讨论一类非线性系统的迭代学习控制,系统的非线性动态对状态不快于多项式增长,而量测方程含有噪声.控制序列并非直接输给系统,而是先经过死区、预载及饱和等非线性函数.递推地给出了学习控制序列,并证明它的有界性及最优跟踪性.
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| 关 键 词： | 非线性系统 迭代学习控制 量测噪声 死区 预载 饱和 随机逼近 |
| 收稿时间： | 2008-05-19 |
Iterative Learning Control for a Class of Nonlinear Systems |
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| SHEN Dong,CHEN Hanfu. Iterative Learning Control for a Class of Nonlinear Systems[J]. Journal of Systems Science and Mathematical Sciences, 2008, 28(9): 1053-1064 |
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| Authors: | SHEN Dong CHEN Hanfu |
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| Affiliation: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190 |
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| Abstract: | The iterative learning control (ILC) is considered for a class of nonlinear systems, for which the dynamic nonlinearity grows up not faster than a polynomial as the state diverges and the observation equation is corrupted by noise. The control sequence cannot directly feed to the system but first has to pass through a nonlinear function such as the dead-zone, pre-load, and saturation etc. The iterative learning control sequence is recursively defined, and its boundedness and optimal tracking property are proved in the paper. |
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| Keywords: | Nonlinear system iterative learning control measurement noise dead-zone pre-load saturation stochastic approximation. |
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