[1]钟宁帆,邹云.奇异摄动系统正实性能分析[J].南京理工大学学报(自然科学版),2008,(03):265-268.
 ZHONG Ning-fan,ZOU Yun.Positive Realness of Singularly Perturbed Systems[J].Journal of Nanjing University of Science and Technology,2008,(03):265-268.
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奇异摄动系统正实性能分析
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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:
2008年03期
页码:
265-268
栏目:
出版日期:
2008-06-30

文章信息/Info

Title:
Positive Realness of Singularly Perturbed Systems
作者:
钟宁帆;邹云;
1. 南京理工大学自动化学院, 江苏南京210094; 2. 山东科技大学信息与电气工程学院, 山东青岛266510
Author(s):
ZHONG Ning-fan12ZOU Yun1
1.School of Automation,NUST,Nanjing 210094,China;2.College of Information and Electrical Engineering,Shandong University of Science and Technology,Qingdao 266510,China
关键词:
广义系统 奇异摄动系统 正实性
Keywords:
singular systems singularly perturbed systems positive realness
分类号:
TP13
摘要:
利用广义系统模型,通过改进已有的广义系统正实引理,讨论了奇异摄动系统的正实性判断问题。利用隐函数存在定理,基于代数Riccati等式讨论了当小参数趋于零时奇异摄动系统正实性与极限系统正实性之间的关系。进一步提出了根据极限系统对奇异摄动系统的正实性进行判断的判据。算例验证了结果的有效性,为在一定条件下对奇异摄动系统的正实性进行有效判断提供了一种新的方法。
Abstract:
To discuss the strictly positive realness judgment criteria of singularly perturbed systems,a singular system model is employed,and the existing positive real lemma of singular systems is improved.By applying the implicit function theorem the relationship between the positive realness of singularly perturbed system and that of its limit system is investigated based on the algebraic Riccati equation.Criteria are proposed to judge the positive realness of singularly perturbed system.A numerical example is given to prove the effectiveness of the criteria.The results provide novel criteria for the judgment of the positive realness of singularly perturbed systems under certain conditions.

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(60474078,60304001);山东省中青年科学家科研奖励基金(2006BSB01002) 作者简介:钟宁帆(1979-),男,四川雅安人,讲师,博士,主要研究方向:奇异系统,奇异摄动系统,E_mail: nfzhong@gmail.com。
更新日期/Last Update: 2008-06-30