| 引用本文: | 毕宏博,孙明轩,陈佳泉.反馈辅助学习算法在Lebesgue-p范数意义下的单调收敛性[J].控制理论与应用,2016,33(7):965~972.[点击复制] |
| bihongbo,SUN Ming-xuan,CHEN Jia-quan.Monotonic convergence of feedback-aided iterative learning control algorithms in the sense of Lebesgue-p norm[J].Control Theory and Technology,2016,33(7):965~972.[点击复制] |
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| 反馈辅助学习算法在Lebesgue-p范数意义下的单调收敛性 |
| Monotonic convergence of feedback-aided iterative learning control algorithms in the sense of Lebesgue-p norm |
| 摘要点击 2468 全文点击 1971 投稿时间：2015-05-29 修订日期：2016-08-08 |
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| DOI编号 10.7641/CTA.2016.50466 |
| 2016,33(7):965-972 |
| 中文关键词 迭代学习控制 反馈辅助 初始修正 Lebesgue-p范数 单调收敛 |
| 英文关键词 iterative learning control feedback-aided initial rectifying Lebesgue-p norm monotonic convergence |
| 基金项目 国家自然科学基金项目(61174034, 61374103, 61573320), 浙江工业大学重中之重学科开放研究基金项目(20151011), 衢州学院人才培养科研启动 项目(BSYJ201505), 高等学校访问学者教师专业发展项目(FX2013195)资助. |
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| 中文摘要 |
| 针对一类线性时不变系统, 讨论存在固定初始偏移时的学习控制问题, 提出带有反馈辅助项的比例微分
(proportion differentiation, PD)型学习控制算法, 分析所提算法在Lebesgue-p范数意义下的单调收敛性, 获得对期望
轨迹的渐近跟踪结果. 进一步地, 为获得系统输出对期望轨迹的完全跟踪, 给出带有初始修正策略的比例–积分–微
分(proportion multiple integration differentiation, PMID)型学习律, 并给出了所提学习算法的单调收敛性能分析结果.
最后, 通过数值结果, 验证了所提学习算法的跟踪性能和单调收敛性能. |
| 英文摘要 |
| Feedback-aided proportion differentiation (PD)-type iterative learning control is proposed for a class of linear time invariant
systems in the presence of a fixed initial shift. Based on Lebesgue-p norm, the monotonic convergence analysis result is obtained,
and the output trajectory asymptotically convergence to the desired one. Furthermore, a kind of PID-–proportion multiple integration
differentiation (PMID)-type learning algorithm with initial rectifying strategy is addressed to realize completely tracking result, and the
monotonic convergence analysis processes are stated. Finally, numerical results are presented to demonstrate the tracking performance
and the monotonic convergence property of the proposed learning algorithms. |
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