On Repetitive Learning Control for Periodic Tracking Tasks

Jian-Xin Xu; Yan R.

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On Repetitive Learning Control for Periodic Tracking Tasks

机译：周期性跟踪任务的重复学习控制

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In this note, a repetitive learning control (RLC) approach is proposed to deal with periodic tracking tasks for nonlinear dynamical systems with nonparametric uncertainties. We address two fundamental issues associated with the learning control methodology: The existence of the solution, and learning convergence property. Applying the existence theorem of the neutral differential difference equation, and using Lyapunov-Krasovskii functional, the existence of the solution and learning convergence can be proven rigorously. A further extension of the RLC to cascade systems is also explored

机译：在本说明中，提出了一种重复学习控制（RLC）方法来处理具有非参数不确定性的非线性动力学系统的周期性跟踪任务。我们解决与学习控制方法有关的两个基本问题：解决方案的存在和学习收敛性。应用中立型差分方程的存在性定理，并使用Lyapunov-Krasovskii泛函，可以严格证明解的存在性和学习收敛性。还探讨了将RLC进一步扩展到级联系统的方法

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《IEEE Transactions on Automatic Control》 |2006年第11期|p.1842-1848|共7页
作者
Jian-Xin Xu; Yan R.;
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正文语种 eng
中图分类自动化系统;
关键词
Lyapunov methods; differential equations; learning systems; nonlinear dynamical systems; uncertain systems; Lyapunov-Krasovskii functional; cascade systems; neutral differential difference equation; nonlinear dynamical system; nonparametric uncertainties; periodic;

机译：Lyapunov方法;微分方程;学习系统;非线性动力系统;不确定系统;Lyapunov-Krasovskii泛函;级联系统;中立差分方程;非线性动力系统;非参数不确定性;周期;

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专利

1. On Repetitive Learning Control for Periodic Tracking Tasks [J] . Xu J.-X., Yan R. IEEE Transactions on Automatic Control . 2006,第期

机译：周期性跟踪任务的重复学习控制
2. Machine-learning based approaches for self-tuning trajectory tracking controllers under terrain changes in repetitive tasks [J] . Alvaro Javier Prado, Maciej Marcin Michalek, Fernando Auat Cheein Engineering Applications of Artificial Intelligence . 2018,第jana期

机译：在重复任务中地形变化下基于自学习轨迹跟踪控制器的基于机器学习的方法
3. Event-Triggered Modified Repetitive Control for Periodic Signal Tracking [J] . Guoqi Ma, Masood Ghasemi, Xingyong Song Circuits and Systems II: Express Briefs, IEEE Transactions on . 2019,第1期

机译：事件触发的修正重复控制用于周期信号跟踪
4. Learning Model Predictive Control for Periodic Repetitive Tasks [C] . Nicola Scianca, Ugo Rosolia, Francesco Borrelli European Control Conference . 2020

机译：周期性重复任务的学习模型预测控制
5. Synthesis and analysis of design methods for improved tracking performance in iterative learning and repetitive control. [D] . Oh, Sang June. 2004

机译：在迭代学习和重复控制中改进跟踪性能的设计方法的综合和分析。
6. De novo learning versus adaptation of continuous control in a manual tracking task [O] . Christopher S Yang, Noah J Cowan, Adrian M Haith 2021

机译：de novo学习与手动跟踪任务中连续控制的适应
7. Eye‐Tracking Reveals Absent Repetition Learning Across the Autism Spectrum: Evidence From a Passive Viewing Task [O] . Sebastian B. Gaigg, Marie K. Krug, Marjorie Solomon, 2020

机译：眼睛跟踪揭示了在自闭症频谱上的缺席学习：来自被动观看任务的证据
8. Manual Control in Target Tracking Tasks as a Function of Control Type, Task Loading and Vibration. [R] . Drennen, T. G., Curtin, J. G., Warner, H. D. 1977

机译：目标跟踪任务中的手动控制作为控制类型，任务加载和振动的函数。

On Repetitive Learning Control for Periodic Tracking Tasks

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