[1]邵汉永,冯纯伯.一类不确定多变量线性系统的鲁棒严格正实性分析及其输出反馈控制[J].东南大学学报(自然科学版),2003,33(4):492-494.[doi:10.3969/j.issn.1001-0505.2003.04.027]
 Shao Hanyong,Feng Chunbo.Robustly strict positive real analysis and output feedback control for a class of uncertain MIMO linear systems[J].Journal of Southeast University (Natural Science Edition),2003,33(4):492-494.[doi:10.3969/j.issn.1001-0505.2003.04.027]
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一类不确定多变量线性系统的鲁棒严格正实性分析及其输出反馈控制()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
33
期数:
2003年第4期
页码:
492-494
栏目:
自动化
出版日期:
2003-07-20

文章信息/Info

Title:
Robustly strict positive real analysis and output feedback control for a class of uncertain MIMO linear systems
作者:
邵汉永 冯纯伯
东南大学自动化研究所,南京 210096
Author(s):
Shao Hanyong Feng Chunbo
Research Institute of Automation, Southeast University, Nanjing 210096,China
关键词:
不确定动态系统 扩展严格正实 线性多变量系统 正实控制
Keywords:
uncertain dynamic systems extended strict positive real linear MIMO system positive real control
分类号:
TP273
DOI:
10.3969/j.issn.1001-0505.2003.04.027
摘要:
考虑了一类带有广义正实不确定性的多变量线性系统的鲁棒严格正实分析和控制问题.通过构造增广系统,将这类不确定系统的鲁棒严格正实分析问题转化为确定系统的严格正实分析,按增广系统给出了这类不确定系统鲁棒严格正实的充分必要条件.基于这个充分必要条件,考虑了这类不确定系统的鲁棒严格正实控制.通过构造增广系统,将这类不确定系统的输出反馈鲁棒严格正实控制问题转化为确定系统的输出反馈严格正实设计,按增广系统给出了控制器应满足的条件.
Abstract:
The robustly strict positive real analysis and synthesis problem for a class of MIMO linear systems with generalized uncertainty are taken into account. By means of the augmented system, the robustly strict positive real analysis problem of the uncertain systems is converted into strict positive real analysis without uncertainty. Necessary and sufficient conditions are derived for the uncertain systems to be robustly strict positive real. Based on the conditions, robustly strict positive real control of the uncertain systems is considered. The output feedback robustly strict positive real control problem is turned into strict positive real control of an augmented system without uncertainties. Conditions with which the controller should be satisfied are obtained.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金重点资助项目(69934010).
作者简介: 邵汉永(1965—),男,博士生; 冯纯伯(联系人),男,教授,博士生导师,中国科学院院士, infcon@seu.edu.cn.
更新日期/Last Update: 2003-07-20