[1]方志明,等.一类参数不确定切换Lurie系统鲁棒稳定性分析[J].南京理工大学学报(自然科学版),2009,(02):152-155.
 FANG Zhi-ming,XIANG Zheng-rong,CHEN Qing-wei.Robust Stabilization Analysis of a Class of Switched Lurie Systems with Parameter Uncertainty[J].Journal of Nanjing University of Science and Technology,2009,(02):152-155.
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一类参数不确定切换Lurie系统鲁棒稳定性分析
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2009年02期
页码:
152-155
栏目:
出版日期:
2009-04-30

文章信息/Info

Title:
Robust Stabilization Analysis of a Class of Switched Lurie Systems with Parameter Uncertainty
作者:
方志明1 2 向峥嵘1 陈庆伟1
1. 南京理工大学自动化学院, 江苏南京210094; 2. 江苏大学电气信息工程学院, 江苏镇江212013
Author(s):
FANG Zhi-ming12XIANG Zheng-rong1CHEN Qing-wei1
1.School of Automation,NUST,Nanjing 210094,China;2.School of Electrical and Information Engineering,Jiangsu University,Zhenjiang 212013,China
关键词:
切换系统 多李雅普诺夫函数 线性矩阵不等式 鲁棒稳定性
Keywords:
switched systems multi-Lyapunov functions linear matrix inequality robust stabilization
分类号:
TP13
摘要:
针对一类子系统皆为Lurie系统并且参数具有不确定性的非线性切换系统,研究了使该参数不确定非线性切换系统鲁棒稳定的问题。利用线性矩阵不等式方法,求解出每个子系统的李雅普诺夫函数,再利用多李雅普诺夫函数方法,给出使这一类非线性切换系统鲁棒稳定的条件,并利用MATLAB仿真软件求解出所需的多个李雅普诺夫函数和其他参数。数值仿真结果证明,该文方法可以使这一类非线性切换系统渐近稳定。
Abstract:
Robust stabilization of a class of nonlinear switched systems with parameter uncertainty is investigated here.All the subsystems of the class of nonlinear switched systems are Lurie systems.Based on the multi-Lyapunov functions technique,Lyapunov function of every subsystem is found.Based on the linear matrix inequality(LMI) technique,the conditions for robust stabilization of this class of nonlinear switched systems with parameter uncertainty are presented.Multi-Lyapunov functions and other designed parameters can be obtained by using MATLAB software.A numerical example is given to illustrate the effectiveness of the proposed results.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 教育部博士点基金( 20070288022); 江苏省自然科学基金( BK2008404); 空间智能控制技术国家级重点实验室项目
作者简介: 方志明( 1978- ), 男, 博士生, 主要研究方向: 切换系统, E-m a il:fzm 7889@ ho tmail.com; 通讯作者: 向峥嵘( 1969- ), 男, 副教授, 博士, 主要研究方向: 非线性系统与鲁棒控制, E-m ail:x iangzr@ m a il.n just. edu. cn。
更新日期/Last Update: 2012-11-19