[1]徐国亮,王子栋.时变块对角参数不确定线性系统的鲁棒H∞滤波[J].南京理工大学学报(自然科学版),1996,(02):51-54.
 Xu Guoliang Wang Zidong.Robust H ∞ Filtering for Linear Systems with Time varying Block diagonal Parameter Uncertainty[J].Journal of Nanjing University of Science and Technology,1996,(02):51-54.
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时变块对角参数不确定线性系统的鲁棒H∞滤波()
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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:
1996年02期
页码:
51-54
栏目:
出版日期:
1996-04-30

文章信息/Info

Title:
Robust H ∞ Filtering for Linear Systems with Time varying Block diagonal Parameter Uncertainty
作者:
徐国亮王子栋
南京理工大学理学院, 南京210094
Author(s):
Xu Guoliang Wang Zidong
School of Sciences, NUST, Nanjing 210094
关键词:
不确定系统 鲁棒性 黎卡提代数方程
Keywords:
uncertain systems robustness Riccat i algebraic equat io ns
分类号:
TP13
摘要:
该文考虑具有时变块对角参数不确定性的线性连续系统的鲁棒H∞滤波问题,即设计线性状态估计器,使得对所有可允的时变块对角参数扰动,估计系统二次稳定且估计误差满足预先给定的H∞干扰衰减的约束。基于关于干扰衰减二次稳定的概念,将一个不确定系统的鲁棒H∞滤波问题转化为一个标准的确定性系统的H∞滤波问题。该文利用Riccati代数方程方法解决了上述问题,并导出了状态估计器存在的充分必要条件及合乎要求的估计器的表达式。
Abstract:
T his paper deals w ith the pro blem of the robust H ∞ f ilter ing for linear system w ith t ime-varying block-diag onal parameter uncer tainty . The problem addressed is the design of an unbiased linear state est imato r that guarantees bo th quadrat ic stability and a prescribed H ∞ perfo rmance on infinite horizon for the est imat io n error dynamics fo r al l admissible block-diag onal uncertaint ies. Based o n the not ion of quadrat ic stability w ith disturbance at tenuat ion, the problem of the ro bust H ∞ f iltering fo r uncertain systems can be conv erted to a standard H ∞ f iltering for cer tain systems. A Riccati equat ion approach is developed to solve the abo ve problem. Necessary and suf ficient condit ions fo r the existence of a state est imato r have been der iv ed and the state est imator is given.

参考文献/References:

1 Zames G. Feedback and optimal sensitiv ity : Model r efer ence tr ansfo rmatio ns, multiplicativ e semino rms, and appr o ximate inver ses. IEEE Tr ans Automat Co ntr , 1981, 26: 301~320
2 Fu M, Souza C E De, Xie L. H ∞ estimation fo r co ntinuo us t ime linear uncer tain systems. In: First IFAC Sym po sium o n Design Method of Contr ol Systems. Zur ich: Pr eprints, 1991, 1: 296~301
3 Li Xie, Souza C E De. H ∞ filter ing fo r linear per io dic systems w ith parameter uncertainty. Sy st Contr Let t, 1991, 17: 343~350
4 Fu M, Xie L, Souza C E De. H ∞ contr ol fo r linear sy stems w ith time-var ying par ameter uncer taint y. In : Pr o c of the 1991 Inter Wor ksho p on Robust Co ntr o l. San Anto nio: T exas,1991
5 Nag pal K M, Khar g onekar P P. Filter ing and smoo thing in an H ∞ setting s. IEEE T rans o n Automat Contr , 1991, 36: 152~166

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备注/Memo

备注/Memo:
国家自然科学基金资助课题
徐国亮 男 25 岁 硕士生
更新日期/Last Update: 2013-04-11