状态带时滞的非线性系统的观测器设计

山东大学学报(工学版)

状态带时滞的非线性系统的观测器设计

刘庆荣¹, 张承慧², 张宪福²

1. 山东经济学院统计与数学学院,山东济南250014;2. 山东大学控制科学与工程学院,山东济南250100

收稿日期:2007-09-12 修回日期:1900-01-01 出版日期:2007-10-24 发布日期:2007-10-24
通讯作者: 刘庆荣

Observer design for nonlinear systems with delay in state

LIU Qing-rong¹，ZHANG Cheng-hui²，ZHANG Xian-fu²

1. Department of Mathematics and Statistics,Shandong Economic University,Jinan 250014；2. School of Control Science and Engineering,Shandong University,Jinan 250100

Received:2007-09-12 Revised:1900-01-01 Online:2007-10-24 Published:2007-10-24
Contact: LIU Qing-rong

摘要/Abstract

摘要： 针对一类满足Lipschitz条件的下三角非线性时滞系统,提出了一种新颖而且简便的状态观测器的设计方法.通过构造适当的Lyapunov-kresovskii 泛函(LKF)和求解线性矩阵不等式(LMI),给出了使得误差动态系统渐近趋于零的非线性时滞系统的状态观测器.最后用例子说明了这种构造性方法的简便实用性.

关键词: 非线性时滞系统, 状态观测器, Lipschitz条件, Lyapunov-kresovskii 泛函

Abstract: A novel and simple observer design for a class of lower triangular nonlinear time-delay systems satisfying Lipschitz condition was proposed. By constructing appropriate Lyapunov-Krasovskii functions (LKF) and solving linear matrix inequality(LMI), the state observer making the observer error asymptotically convergence to zero was constructed. A simulation example was given to show the effectiveness of the proposed design procedure.

Key words: nonlinear time-delay systems, state observer, Lipschitz condition, Lyapunov-Krasovskii

中图分类号:

TP273

刘庆荣,张承慧,张宪福 . 状态带时滞的非线性系统的观测器设计[J]. 山东大学学报(工学版), 2007, 37(5): 24-28 .

LIU Qing-rong,ZHANG Cheng-hui,ZHANG Xian-fu . Observer design for nonlinear systems with delay in state[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 24-28 .

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