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| 奇异摄动系统的有限频段正实引理和界实引理 | |
| 引用本文： | 梅平,付景枝,臧强. 奇异摄动系统的有限频段正实引理和界实引理[J]. 南京气象学院学报, 2013, 5(5): 397-401 |
| 作者姓名： | 梅平 付景枝 臧强 |
| 作者单位： | 南京信息工程大学 信息与控制学院, 南京, 210044;南京信息工程大学 信息与控制学院, 南京, 210044;南京信息工程大学 信息与控制学院, 南京, 210044 |
| 基金项目： | 南京信息工程大学科研基金(S8110 051001,S8111126001);江苏省自然科学基金(BK2011826);江苏省属高校自然科学基金(12KJB120004) |
| 摘 要： | 利用GKYP引理研究了奇异摄动系统的有限频段正实引理和界实引理,证明了全阶系统的有限频段正实性可以由快、慢子系统的有限频段正实性得到,同样可以证明奇异摄动系统的有限频段界实引理具有类似性质.最后作为应用,给出了一个两频域尺度模型降阶实现方案,表明了该方法的有效性. |
| 关 键 词： | 奇异摄动系统 正实性 界实性 有限频段 广义Kalman-Yakubovich-Popov(GKYP)引理 |
| 收稿时间： | 2012-08-29 |
Positive realness lemma and bounded realness lemma for singularly perturbed systems within a finite frequency band |
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| MEI Ping,FU Jingzhi and ZANG Qiang. Positive realness lemma and bounded realness lemma for singularly perturbed systems within a finite frequency band[J]. Journal of Nanjing Institute of Meteorology, 2013, 5(5): 397-401 | |
| Authors: | MEI Ping FU Jingzhi ZANG Qiang |
| Affiliation: | School of Control & Information, Nanjing University of Information Science & Technology, Nanjing 210044;School of Control & Information, Nanjing University of Information Science & Technology, Nanjing 210044;School of Control & Information, Nanjing University of Information Science & Technology, Nanjing 210044 |
| Abstract: | Based on the generalized Kalman-Yakubovich-Popov lemma,the positive realness and bound realness lemma for singularly perturbed system in a finite frequency band is studied.It is shown that the positive real property of the full-order system can be deduced from the positive real property of its slow and fast subsystems.The same has been shown for the bounded real property.As an application,a model reduction design scheme is given which is balanced at the low and fast frequency respectively. |
| Keywords: | singularly perturbed systems positive realness bounded realness finite frequency band Generalized Kalman-Yakubovich-Popov (GKYP) lemma |
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