[1]蔡晨晓,梅平,邹云.离散奇异摄动系统H2/H∞控制[J].南京理工大学学报(自然科学版),2011,(02):236-239.
 CAI Chen-xiao,MEI Ping,ZOU Yun.H2/H∞ Control for Discrete-time Singularly Perturbed Systems[J].Journal of Nanjing University of Science and Technology,2011,(02):236-239.
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离散奇异摄动系统H2/H控制
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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:
2011年02期
页码:
236-239
栏目:
出版日期:
2011-04-30

文章信息/Info

Title:
H2/H Control for Discrete-time Singularly Perturbed Systems
作者:
蔡晨晓梅平邹云
南京理工大学自动化学院,江苏南京210094
Author(s):
CAI Chen-xiaoMEI PingZOU Yun
School of Automation,NUST,Nanjing 210094,China
关键词:
离散奇异摄动系统 线性矩阵不等式 H2/H控制
Keywords:
discrete-time singularly perturbed systems linear matrix inequality H2/H control
分类号:
TP13
摘要:
该文针对快速采样模型,给出系统满足H2/H指标且稳定的充要条件。通过线性矩阵不等式(LM I)方法,给出了系统稳定且满足H2性能指标和H性能指标的状态反馈控制律设计,以及奇异摄动参数的上界。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和快慢动态不明显的一般系统。数值算例说明了该方法的有效性。
Abstract:
In terms of a fast sampling model,a necessary and sufficient condition for the stability of the system is obtained,and the suitable state feedback control law and upper bound of parameter ε are also given by the linear matrix inequality method.The proposed results can be applied to a slow sampling singularly perturbed model and a general system in which the slow and fast dynamics is not obvious.An example is worked out to illustrate the effect of the method.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目:南京理工大学自主科研专项计划( 2010GJPY017) 作者简介:蔡晨晓( 1975 - ) ,女,博士,副教授,主要研究方向: 奇异摄动系统,鲁棒控制,E-mail: ccx5281@ vip. 163. com。
更新日期/Last Update: 2012-04-30