[1]刘诗娜,费树岷,冯纯伯.线性不确定系统最优保成本滤波器设计的LMI方法[J].东南大学学报(自然科学版),2000,30(5):107-112.[doi:10.3969/j.issn.1001-0505.2000.05.024]
 Liu Shina,Fei Shumin,Feng Chunbo.Optimal Guaranteed Cost Filter Design for Linear Uncertain Systems by LMI Approach[J].Journal of Southeast University (Natural Science Edition),2000,30(5):107-112.[doi:10.3969/j.issn.1001-0505.2000.05.024]
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线性不确定系统最优保成本滤波器设计的LMI方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
30
期数:
2000年第5期
页码:
107-112
栏目:
自动化
出版日期:
2000-09-20

文章信息/Info

Title:
Optimal Guaranteed Cost Filter Design for Linear Uncertain Systems by LMI Approach
作者:
刘诗娜 费树岷 冯纯伯
东南大学自动化研究所, 南京 210096
Author(s):
Liu Shina Fei Shumin Feng Chunbo
Research Institute of Automation, Southeast University, Nanjing 210096
关键词:
不确定系统 保成本滤波器 LMI方法
Keywords:
uncertain systems guaranteed cost filter LMI approach
分类号:
TP273
DOI:
10.3969/j.issn.1001-0505.2000.05.024
摘要:
研究了一类线性不确定系统保成本滤波器的设计问题.用线性矩阵不等式LMI(linear matrix inequality)的形式给出保成本鲁棒滤波器存在的简便检验方法,由线性矩阵不等式的解直接得到滤波器各参数的值.对保成本滤波器存在的系统,进一步优化保成本矩阵,获得了最优保成本滤波器,同时保证系统具有很好的鲁棒稳定性.最后给出了一个仿真实例,以验证本文结果的有效性.
Abstract:
The guaranteed cost filter design problem for a class of linear time-varying uncertain systems is studied in this paper. A convenient method for the existence of robust guaranteed cost filter is given in the form of Linear Matrix Inequality (LMI). The solutions of the LMI method determine the parameters of the filter directly. The cost matrix can be optimized to get the optimal guaranteed cost filter if it exists. The robust stability of system can be guaranteed at the same time. A simulation example is given to prove the efficiency of the research result. 

参考文献/References:

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备注/Memo

备注/Memo:
基金项目:国家自然科学基金资助项目(69604003,69934010),国家攀登计划资助项目(970211017).
第一作者:女,1976年生,硕士研究生.
更新日期/Last Update: 2000-09-20