Analysis of iterative learning control for one-sided Lipschitz nonlinear singular systems

被引：21

作者：

Gu, Panpan ^{[1
]}

Tian, Senping ^{[1
]}

机构：

[1] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 01期

基金：

中国国家自然科学基金;

关键词：

OBSERVER DESIGN; ORDER;

D O I：

10.1016/j.jfranklin.2018.10.014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of iterative learning control for a class of singular systems with one-sided Lipschitz nonlinearity. In order to track the given desired trajectory, a closed-loop D-type learning algorithm is proposed for such nonlinear singular systems. Then the convergence result is derived by utilizing the one-sided Lipschitz and quadratically inner-bounded conditions. In this work, the main contribution is to apply the iterative learning approach to one-sided Lipschitz singular systems, while most researches are focus on the Lipschitz systems. It is shown that the algorithm can guarantee the system output converges to the desired trajectory on the whole time interval. Finally, the effectiveness of the presented algorithm is verified by a numerical example. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：196 / 208

页数：13

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