| 引用本文: | 李岩,陈阳泉,安孝晟.分数阶迭代学习控制的收敛性分析[J].控制理论与应用,2012,29(8):1031~1037.[点击复制] |
| LI Yan,CHEN Yang-quan,AHN Hyo-Sung.Convergence analysis of fractional-order iterative learning control[J].Control Theory and Technology,2012,29(8):1031~1037.[点击复制] |
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| 分数阶迭代学习控制的收敛性分析 |
| Convergence analysis of fractional-order iterative learning control |
| 摘要点击 3059 全文点击 1658 投稿时间：2012-05-08 修订日期：2012-06-27 |
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| DOI编号 10.7641/j.issn.1000-8152.2012.8.LCTA120475 |
| 2012,29(8):1031-1037 |
| 中文关键词 迭代学习控制 分数阶微积分 非线性系统 收敛性 自适应 |
| 英文关键词 iterative learning control fractional calculus nonlinear systems convergence adaptiveness |
| 基金项目 This work was supported by the National Natural Science Foundation of China (Nos. 61075092, 61104009), and the Natural Science Foundation of Shandong Province (Nos. ZR2011FM011, ZR2010AM007). |
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| 中文摘要 |
| 本文将传统的迭代学习控制时域和频域分析方法扩展到一类针对分数阶非线性系统的分数阶迭代学习控制时域分析方法. 提出了一类新的分数阶迭代学习控制框架并简化了收敛条件, 且证明了常增益情况下两类分数阶迭代学习控制收敛条件的等价性问题. 该讨论进一步引出了如下两个结果: 分数阶不确定系统的分数阶自适应迭代学习控制的可学习区域以及理想带阻型分数阶迭代学习控制的框架. 上述结果均得到了仿真验证. |
| 英文摘要 |
| The classical time domain and frequency domain analysis of iterative learning control (ILC) are extended to a type of time domain analysis of fractional order iterative learning control (FOILC) for fractional order nonlinear systems. A novel FOILC scheme is proposed, which leads to simpler convergence condition. The equivalence of the above two FOILC schemes is shown for the constant learning gain cases, which leads to two further developments: the learnable domain of an adaptive FOILC for the uncertain fractional order systems, and a desirable band-stop FOILC scheme. Several examples are provided to illustrate the presented results. |