A note on observer for one-sided Lipschitz non-linear systems

被引：66
|
作者：
Hu, Guang-Da [1 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Automat, Informat Engn Sch, Beijing 100083, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2008年 / 25卷 / 03期
基金：
中国国家自然科学基金;
关键词：
non-linear observer; quasi-one-sided Lipschitz condition; linear matrix inequality;
D O I：
10.1093/imamci/dnm024
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, observer design of a class of non-linear systems is considered. A quasi-one-sided Lipschitz condition is introduced to estimate the influence of non-linear vector functions on the observer. Based on the quasi-one-sided Lipschitz condition, sufficient conditions for existence of observers of the class of non-linear systems are presented which are less conservative than the results based on Lipschitz condition or one-sided Lipschitz condition in literature. Furthermore, a gain matrix of the observer is given by the linear matrix inequality.
引用
收藏
页码：297 / 303
页数：7
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