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离散奇异摄动系统的正实控制
引用本文:蔡晨晓,邹云. 离散奇异摄动系统的正实控制[J]. 常州信息职业技术学院学报, 2007, 6(6): 6-8
作者姓名:蔡晨晓  邹云
作者单位:南京理工大学自动化学院,江苏,南京,210094
摘    要:讨论了离散奇异摄动系统的正实控制问题.针对快速采样模型,通过线性矩阵不等式(LMI)方法,给出了系统正实性的充要条件,同时得到了奇异摄动系统的摄动参数的上界.该方法避免了传统的奇异摄动快慢分解方法,而且适用于慢速采样模型.数值算例证明了该方法的有效性.

关 键 词:奇异摄动  正实性  线性矩阵不等式
文章编号:1672-2434(2007)06-0006-03
收稿时间:2007-09-04
修稿时间:2007-09-04

Positive Real Control of Discrete Singularly Perturbed System
CAI Chen-xiao,ZOU Yun. Positive Real Control of Discrete Singularly Perturbed System[J]. Journal of Changzhou Vocational College of Information Technology, 2007, 6(6): 6-8
Authors:CAI Chen-xiao  ZOU Yun
Affiliation:Institute of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Abstract:This paper deals with the problem of positive real control for discrete-time singularly perturbed systems. For fast sampling models, a necessary and sufficient existence condition and the corresponding design approach are proposed via linear matrix inequality method. The upper bound of the parameter e is also given. The proposed method is also applicable to slow sam- pling singularly perturbed models. A numerical example is presented to illustrate its effectiveness.
Keywords:singular perturbed   positive real   linear matrix inequality
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