| 一类广义系统的迭代学习控制 |
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| 引用本文： | 朴凤贤, 张庆灵, 王哲峰. 一类广义系统的迭代学习控制. 自动化学报, 2007, 33(6): 658-659. doi: 10.1360/aas-007-0658 |
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| 作者姓名： | 朴凤贤 张庆灵 王哲峰 |
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| 作者单位： | 1.东北大学系统科学研究所 沈阳 110004;;2.沈阳航空工业学院理学系 沈阳 110034 |
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| 基金项目： | 国家自然科学基金;辽宁省科技计划;辽宁省高等学校中青年学科带头人基金 |
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| 摘 要： | 在对广义系统进行标准分解的基础上, 研究了含脉冲快子系统的迭代学习控制问题. 通过 Frobenius 范数给出了快子系统在 P 型学习律作用下收敛的充分性条件, 同时通过梯度法给出求解增益矩阵的方法. 其次, 讨论了单输入单输出不确定广义系统的迭代学习控制问题, 通过优化方法给出该系统在 P 型学习律作用下, 系统实际输出尽可能快地收敛到理想输出的增益矩阵的选择方法.
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| 关 键 词： | 广义系统 脉冲 不确定性 迭代学习控制 收敛 |
| 收稿时间： | 2005-11-27 |
| 修稿时间： | 2005-11-272006-04-21 |
Iterative Learning Control for a Class of Singular Systems |
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| PIAO Feng-Xian, ZHANG Qing-Ling, WANG Zhe-Feng. Iterative Learning Control for a Class of Singular Systems. ACTA AUTOMATICA SINICA, 2007, 33(6): 658-659. doi: 10.1360/aas-007-0658 |
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| Authors: | PIAO Feng-Xian ZHANG Qing-Ling WANG Zhe-Feng |
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| Affiliation: | 1. Institute of Systems Science, Northeastern University, Shenyang 110004;;;2. Department of Science, Shenyang Institute of Aeronautical Engineering, Shenyang 110034 |
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| Abstract: | In this paper, the problem of iterative learning control for fast subsystem with impulse is investigated based on the Weierstrass canonical form, the sufficient condition that guarantees the convergence of P-type learning law is derived by the Frobenius norm, and the approach to choose the gain matrix is given by gradient flow approach. Then, the uncertain single input single output singular system is discussed, the method to choose the gain matrix such that the actual output converge to desired trajectory as quickly as possible is given by optimization. |
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| Keywords: | Singular system impulse uncertainty iterative learning control convergence |
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