[1]王 璐.不确定系统的鲁棒无偏H2滤波[J].南京理工大学学报(自然科学版),2018,42(05):540.[doi:10.14177/j.cnki.32-1397n.2018.42.05.005]
 Wang Lu.Robust unbiased H2 filtering for uncertain system[J].Journal of Nanjing University of Science and Technology,2018,42(05):540.[doi:10.14177/j.cnki.32-1397n.2018.42.05.005]
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不确定系统的鲁棒无偏H2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:
42卷
期数:
2018年05期
页码:
540
栏目:
出版日期:
2018-10-30

文章信息/Info

Title:
Robust unbiased H2 filtering for uncertain system
文章编号:
1005-9830(2018)05-0540-07
作者:
王 璐
无锡科技职业学院 中德机电学院,江苏 无锡 214028
Author(s):
Wang Lu
Sino-German School of Mechanical and Electronic,Wuxi Vocational College of Scienceand Technology,Wuxi 214028,China
关键词:
不确定系统 无偏H2滤波 降阶滤波器
Keywords:
uncertain systems unbiased H2 filtering reduced order filters
分类号:
TP271.6
DOI:
10.14177/j.cnki.32-1397n.2018.42.05.005
摘要:
该文讨论了不确定系统的鲁棒无偏H2滤波问题。假定状态和观测方程的参数不确定性是范数有界的,提出了不确定系统的鲁棒无偏滤波器,要求估计误差不能明显依赖于一个不确定系统的状态。基于给定矩阵的秩条件给出了降阶无偏滤波器存在的充要条件,并利用线性矩阵不等式(LMI)方法给出不确定系统降阶无偏H2滤波器的设计方法。通过数值算例验证了该文所提设计方法的可行性和有效性。
Abstract:
This paper is concerned with the problem of robust unbiased H2 filtering for the uncertain systems. The parameter uncertainties are assumed to be norm-bounded in both the state and the measurement equations. The robust unbiasedness of filters is presented for uncertain systems requiring the estimation error does not depend on the state of an uncertain system explicitly. A necessary and sufficient condition for the existence of reduced order robust unbiased H2 filters is given using the rank condition of the given system matrices. Thus,a systematic design method is then proposed for the design of robust unbiased H2 filters of the uncertain system by the linear matrix inequality(LMI)technique. The illustrative example demonstrates the feasibility and effectiveness of the proposed method.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-02-20 修回日期:2018-07-04
作者简介:王璐(1976-),女,博士,助理工程师,主要研究方向:多维系统、状态估计、故障检测等,E-mail:wlulu0327@163.com。
引文格式:王璐. 不确定系统的鲁棒无偏H2滤波[J]. 南京理工大学学报,2018,42(5):540-546.
投稿网址:http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2018-10-30