[1]梅平,蔡晨晓,邹云,等.时变时滞奇异摄动系统的稳定性研究[J].南京理工大学学报(自然科学版),2009,(03):297-301.
 MEI Ping,CAI Chen-xiao,ZOU Yun.Stability Analysis for Singularly Perturbed Systems with Time-varying Delay[J].Journal of Nanjing University of Science and Technology,2009,(03):297-301.
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时变时滞奇异摄动系统的稳定性研究
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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03期
页码:
297-301
栏目:
出版日期:
2009-06-30

文章信息/Info

Title:
Stability Analysis for Singularly Perturbed Systems with Time-varying Delay
作者:
梅平;蔡晨晓;邹云;
南京理工大学自动化学院, 江苏南京210094
Author(s):
MEI PingCAI Chen-xiaoZOU Yun
School of Automation,NUST,Nanjing 210094,China
关键词:
奇异摄动系统 时变系统 时滞系统 稳定性 线性矩阵不等式 状态反馈
Keywords:
singularly perturbed systems time-varying systems delay systems stability linear matrix inequalities state feedback
分类号:
TP13
摘要:
针对时变时滞奇异摄动系统,该文用线性矩阵不等式方法给出了判定该系统稳定的充分条件。首先将此系统转化为一个与之等价的广义系统,然后基于线性矩阵不等式(LMI)方法,得到了该系统稳定且依赖于摄动参数的充分条件,为了消除由此带来的数值病态问题,该文将上述条件转化为与摄动参数无关的LMI条件。在此基础上,给出变时滞奇异摄动系统状态反馈控制器存在的充分条件,并由此得到了控制器增益。最后通过数值算例表明了上述方法的有效性。
Abstract:
Linear matrix inequalities(LMI) approach is used to make sure the sufficient condition for the stability of the singularly perturbed systems with time-varying delay.The system is transformed to an equivalent descriptor system.Based on a linear matrix inequalities approach,a sufficient condition for stability of the system is given.In order to eliminate the ill-conditioned numerical problems resulting from the perturbation parameter,the perturbation parameter dependent LMI condition is transformed into perturbation parameter independent one.The sufficient condition for the existence of the state feedback controller is given to guarantee the stability of the original system,and the controller gain is obtained.Some numerical examples are given to illustrate the efficiency of the approach.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60474078; 60574015)
作者简介: 梅平( 1981- ) , 女, 博士生, 主要研究方向: 奇异摄动系统的鲁棒控制, E-ma il:meiping1007@ 163. com;
通讯作者: 邹云( 1962- ), 男, 教授, 博士生导师, 主要研究方向: 应急控制, 2-D系统等, E-mail:zouyun @ v ip.163. com。
更新日期/Last Update: 2012-11-19