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Iterative learning control for one‐sided Lipschitz nonlinear singular conformable differential equations
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2020-09-09 , DOI: 10.1002/rnc.5191
Xiaowen Wang 1 , JinRong Wang 1
Affiliation  

This article contributes to a detailed convergence analysis of iterative learning control for singular conformable differential equations with one‐sided Lipschitz nonlinearity. In order to track the desired reference trajectory in a finite time interval, a closed‐loop D‐type learning update law is proposed for such nonlinear systems. Here, the strict convergence analysis is derived under the condition of identical initial state. A numerical example is provided to verify the effectiveness of the proposed controller.

中文翻译:

单边Lipschitz非线性奇异适形方程的迭代学习控制

本文有助于对具有单侧Lipschitz非线性的奇异适形微分方程的迭代学习控制进行详细的收敛性分析。为了在有限的时间间隔内跟踪期望的参考轨迹,针对此类非线性系统提出了闭环D型学习更新定律。在此,严格收敛分析是在初始状态相同的条件下得出的。提供了一个数值示例来验证所提出控制器的有效性。
更新日期:2020-10-17
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