[1]王 璐,徐慧玲,盛 梅.2-D系统一般模型函数观测器设计[J].南京理工大学学报(自然科学版),2013,37(04):511.
 Wang Lu,Xu Huiling,Sheng Mei.Design of functional observers for 2-D GM[J].Journal of Nanjing University of Science and Technology,2013,37(04):511.
点击复制

2-D系统一般模型函数观测器设计
分享到:

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
37卷
期数:
2013年04期
页码:
511
栏目:
出版日期:
2013-08-31

文章信息/Info

Title:
Design of functional observers for 2-D GM
作者:
王 璐1徐慧玲2盛 梅2
南京理工大学 1.自动化学院; 2.理学院,江苏 南京 210094
Author(s):
Wang Lu1Xu Huiling2Sheng Mei2
1.School of Automation; 2.School of Sciences,NUST,Nanjing 210094,China
关键词:
二维系统 一般模型 函数观测器 线性矩阵不等式方法
Keywords:
two-dimensional systems general model functional observers linear matrix inequality approach
分类号:
TP271.8
文献标志码:
A
摘要:
为了对2-D系统一般模型(2-D GM)进行状态估计,该文对2-D GM的渐近函数观测器的存在性与设计问题进行了研究。基于矩阵的秩条件给出了2-D GM的渐近函数观测器存在的充要条件。利用线性矩阵不等式方法给出渐近函数观测器的设计方法。通过数值算例验证了该文设计方法的有效性。
Abstract:
In order to estimate the state of two-dimensional systems described by the general model(2-D GM),the beingness and design of functional observers for 2-D GM are studied here.A necessary and sufficient condition of the existence of the asymptotic functional observers is given based on a rank condition of the given system matrices.The design of asymptotical functional observers is presented by using a linear matrix inequality(LMI)approach.A numerical example is provided to show the effectiveness of the proposed method.

参考文献/References:

[1] Darouach M.Linear functional observers for systems with delays in state variables:The discrete-time case[J].IEEE Transactions on Automatic Control,2005,50(2):228-233.
[2]Darouach M.Existence and design of functional observers for linear systems[J].IEEE Transactions on Automatic Control,2000,45(5):940-943.
[3]Frederic R,Irene Z.Minimal single linear functional observers for linear systems[J].Automatica,2011,47(1):164-169.
[4]Ooba T.On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities[J].IEEE Transactions on Circuits and System.I,2000,47(8):1263-1265.
[5]杨成梧,邹云.2-D 线性离散系统[M].北京:国防工业出版社,1994.
[6]Du Chunling,Xie Lihua.Hcontrol and filtering of two-dimensional systems[M].Berlin:Springer-Verlag,2002.
[7]Xu Huiling,Zou Yun,Xu Shengyuan,et al.Robust Hcontrol and filtering of two-dimensional systems[M].Berlin:Springer-Verlag,2002.
[7]Xu Huiling,Zou Yun,Xu Shengyuan,et al.Robust b>∞ control for uncertain two-dimensional discrete systems described by the general model via output feedback[J].International Journal of Control,Automation,Systems,2008,6(5):785-791.
[8]Bisiacco M,Valcher M E.Unknown input observers for 2D state-space models[J].International Journal of Control,2004,77(9):861-876.
[9]Wang Weiqun,Zou Yun.The detectability and observer design of 2-D singular systems[J].IEEE Transactions on Circuits and Systems,2002,49(5):698-703.
[10]Xu Huiling,Lin Zhiping,Makur A.The existence and design of functional observers for two-dimensional systems[J].Systems and Control Letters,2012,61(2):362-368.
[11]邹云,孙建中,杨成梧.一般模型2-D系统的观测器设计理论[J].自动化学报,1994,20(4):385-393.
Zou Yun,Sun Jianzhong,Yang Chengwu.A theory to the observes design for 2-D systems[J].Acta Automatic Sinica,1994,20(4):385-393.
[12]Rao C,Mitra S.Generalized inverse of matrices and its applications[M].New York:Wiley,1971.

备注/Memo

备注/Memo:
收稿日期:2012-06-08 修回日期:2012-12-10
基金项目:国家自然科学基金(61174137); 高等学校博士学科点专项科研基金(20113219110026)
作者简介:王璐(1976-),女,博士生,主要研究方向:多维系统,状态估计,故障检测等,E-mail:wlulu0327@hotmail.com; 通讯作者:徐慧玲(1969-),女,博士,教授,主要研究方向:多维系统,奇异系统,鲁棒控制等,E-mail:xuhuiling@njust.edu.cn。
更新日期/Last Update: 2013-08-31