| 含多状态时滞的连续时间迭代学习控制系统稳定性分析 |
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| 引用本文： | 孟德元,贾英民,杜军平,余发山.含多状态时滞的连续时间迭代学习控制系统稳定性分析[J].自动化学报,2010,36(5):696-703. |
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| 作者姓名： | 孟德元 贾英民 杜军平 余发山 |
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| 作者单位： | 1.The Seventh Research Division, Beihang University (BUAA), Beijing 100083, P.R. China |
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| 基金项目： | Supported by National Basic Research Program of China (973 Program) (2005CB321902);;National Natural Science Foundation of China (60727002, 60774003, 60921001, 90916024);;the Commission on Science, Technology and Industry for National Defense (A2120061303);;the Doctoral Program Foundation of Ministry of Education of China (20030006003);;the Innovation Foundation of BUAA for Ph.D. Graduates |
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| 摘 要： | 探讨了含多状态时滞连续时间迭代学习控制系统的稳定性分析问题, 尤其是当系统参数带有多面体不确定性时的鲁棒稳定性分析问题. 通过引入一个扩展算子, 利用迭代学习控制中的二维分析方法给出了时滞系统整个学习动态过程的连续离散Roesser系统描述. 基于所得的Roesser系统, 首先利用二维系统理论给出了保证迭代学习控制系统渐近稳定的充要条件, 然后结合鲁棒H∞控制理论提出了以线性矩阵不等式形式描述的充分条件来保证迭代学习控制系统的单调收敛性. 结果表明, 通过求解线性矩阵不等式确定的学习增益可以使控制输入误差随着迭代次数的增加单调收敛于零. 仿真结果表明, 通过增加满足一组线性矩阵不等式条件的P型学习增益能够使得一个鲁棒渐近稳定的迭代学习控制方案变为鲁棒单调收敛的, 同时还可以大大提高收敛速率.
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| 关 键 词： | Iterative learning control (ILC) time-elay systems monotonic convergence 2-D system theory robust H∞ control theory linear matrix inequality (LMI) |
| 收稿时间： | 2008-10-30 |
| 修稿时间： | 2009-7-28 |
Stability Analysis of Continuous-time Iterative Learning Control Systems with Multiple State Delays |
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| MENG De-Yuan JIA Ying-Min DU Jun-Ping YU Fa-Shan.Stability Analysis of Continuous-time Iterative Learning Control Systems with Multiple State Delays[J].Acta Automatica Sinica,2010,36(5):696-703. |
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| Authors: | MENG De-Yuan JIA Ying-Min DU Jun-Ping YU Fa-Shan |
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| Affiliation: | 1.The Seventh Research Division, Beihang University (BUAA), Beijing 100083, P.R. China;2.Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China;3.School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, P.R. China |
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| Abstract: | This paper presents a stability analysis of the iterative learning control (ILC) problem for continuous-time systems with multiple state delays,especially when system parameters are subject to polytopic-type uncertainties.Using the two-dimensional (2-D) analysis approach to ILC,the continuous-discrete Roesser s type linear systems are employed to describe the entire learning dynamics of time-delay systems (TDS) with the development of an expanding operator.Based on such Roesser systems,the 2-D system theory... |
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| Keywords: | Iterative learning control (ILC) time-elay systems monotonic convergence 2-D system theory robust H∞ control theory linear matrix inequality (LMI) |
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