[1]吴 珠,刘国栋.线性不确定离散时滞系统的鲁棒非脆弱H∞控制[J].智能系统学报,2008,3(01):66-70.
 WU Zhu,LIU Guo-dong.Robust and nonfragile H∞ control for linear discretetimesystems with timedelay and uncertainties[J].CAAI Transactions on Intelligent Systems,2008,3(01):66-70.
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第3卷
期数:
2008年01期
页码:
66-70
栏目:
出版日期:
2008-02-25

文章信息/Info

Title:
Robust and nonfragile H∞ control for linear discretetimesystems with timedelay and uncertainties
文章编号:
1673-4785(2008)01-0066-05
作者:
吴  珠刘国栋
江南大学通信与控制工程学院,江苏无锡214122
Author(s):
WU Zhu LIU Guo-dong
College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
关键词:
不确定系统时滞非脆弱鲁棒H∞控制线性矩阵不等式
Keywords:
uncertain system timedelay nonfragile robust H∞ control linear matrix inequalities
分类号:
TP13
文献标志码:
A
摘要:
基于线性矩阵不等式(LMI)方法,研究了线性不确定离散时滞系统的鲁棒非脆弱H∞ 状态反馈控制器的设计问题.系统的不确定项参数和控制器的增益变化都是时变的且满足线性分式形式的范数有界.考虑了控制器增益存在加性和乘性摄动的2种情形,以LMI形式给出了非脆弱H∞控制器存在的充分条件,保证了闭环系统的鲁棒稳定性和一定的H∞衰减水平.实例表明了该设计方法的有效性.
Abstract:
This paper deals with the problem of robust and nonfragile H∞ control via s tate feedback for linear discretetime systems with timedelay and normbound ed parametric uncertainties by using a method of linear matrix inequality (LMI). Both the gain perturbations of the controller and the uncertain terms of the sy stem are timevarying and normbounded with linear fractional form. Moreover, the gain perturbations of the controller are considered to be either additive or multiplicative. Sufficient conditions for the existence of a robust and nonfr agile controller are given in terms of LMI, so the resulting closedloop system is robustly stable and attains a certain H∞ attenuation level. A numerical e xample is provided to demonstrate the effectiveness of the method.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2007-01-25.
作者简介:
吴 珠, 女, 1983年生, 硕士研究生, 主要研究方向为基于LMI的线性时滞系统的鲁棒控制. 
刘国栋, 男, 1950年生, 教授, 硕士生导师, 主要研究方向为智能控制理论及应用、机器人控制系统等.发表学术论文 20余篇.
通讯作者:吴 珠.E-mail:jstianlan@126.com.
更新日期/Last Update: 2009-05-10