| 具有反馈信息的迭代学习控制律在Lebesgue-p范数意义下的收敛性 |
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| 引用本文： | 阮小娥,连建帮,吴慧卓. 具有反馈信息的迭代学习控制律在Lebesgue-p范数意义下的收敛性[J]. 自动化学报, 2011, 37(4): 513-516. DOI: 10.3724/SP.J.1004.2011.00513 |
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| 作者姓名： | 阮小娥 连建帮 吴慧卓 |
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| 作者单位： | 1.西安交通大学理学院数学系 西安 710049 |
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| 基金项目： | 国家自然科学基金(F030114-60974140)资助~~ |
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| 摘 要： | 针对一类线性时不变系统, 提出了具有反馈信息的PD-型(Proportional-derivative-type)迭代学习控制律, 利用卷积的推广的Young不等式, 分析了控制律在Lebesgue-p范数意义下的单调收敛性. 分析表明, 收敛性不但决定于系统的输入输出矩阵和控制律的微分学习增益, 而且依赖于系统的状态矩阵和控制律的比例学习增益; 进一步, 当适当选取反馈增益时, 反馈信息可加快典型的PD-型迭代学习控制律的单调收敛性. 数值仿真验证了理论分析的正确性和控制律的有效性.
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| 关 键 词： | 迭代学习控制 反馈 Lebesgue-p范数 单调收敛 |
| 收稿时间： | 2010-06-02 |
Convergence of Iterative Learning Control with Feedback Information in the Sense of Lebesgue-p Norm |
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| RUAN Xiao-E LIAN Jian-Bang WU Hui-Zhuo. Convergence of Iterative Learning Control with Feedback Information in the Sense of Lebesgue-p Norm[J]. Acta Automatica Sinica, 2011, 37(4): 513-516. DOI: 10.3724/SP.J.1004.2011.00513 |
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| Authors: | RUAN Xiao-E LIAN Jian-Bang WU Hui-Zhuo |
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| Affiliation: | 1.Department of Mathematics, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 |
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| Abstract: | This paper addresses a kind of proportional-derivative-type(PD-type)iterative learning control updating law with feedback information for a class of linear time-invariant systems.By taking advantage of the generalized Young inequality of convolution integral,monotone convergence of the updating law is analyzed in the sense of Lebesgue-p norm.The analysis indicates that the convergence is determined not only by the system input-output matrix and the derivative learning gain,but also by the system state matri... |
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| Keywords: | Iterative learning control feedback Lebesgue-p norm monotone convergence |
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