Improved robust H2 and H∞ filtering for uncertain discrete-time systems

被引：319
|
作者：
Xie, LH
Lu, LL
Zhang, D
Zhang, HS
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[2] Hong Kong Polytech Univ, Dept Comp, Hong Kong, Hong Kong, Peoples R China
[3] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen, Peoples R China
来源：
AUTOMATICA | 2004年 / 40卷 / 05期
关键词：
discrete-time systems; uncertain systems; robust H-2 filtering; robust H-infinity filtering; linear matrix inequalities;
D O I：
10.1016/j.automatica.2004.01.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the robust H-2 and H-infinity filtering problems for linear discrete-time systems with polytopic parameter uncertainty. We aim to derive a less-conservative design than existing linear matrix inequality (LMI) based sufficient conditions. It is shown that a more efficient evaluation of robust H2 or H. performance can be obtained by a matrix inequality condition which contains additional free parameters as compared to existing characterizations. When applying this new matrix inequality condition to the robust filter design, these parameters provide extra degrees of freedom in optimizing the guaranteed H-2 or H-infinity performance and lead to a less-conservative design. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：873 / 880
页数：8
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