H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach

被引:156
作者
Du, Dongsheng [1 ]
Jiang, Bin
Shi, Peng
Zhou, Shaosheng
机构
[1] Huaihai Inst Technol, Dept Math & Phys, Lianyungang 222005, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 210016, Peoples R China
[3] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[4] Hangzhou Dianzi Univ, Dept Automat, Hangzhou 310037, Peoples R China
关键词
discrete-time switched system; H-infinity filter; linear matrix inequality (LMI); switched Lyapunov functional;
D O I
10.1109/TAC.2007.902777
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this note, the problem of H-infinity filtering for a class of discrete-time switched systems with state delays is investigated. Attention is focused on the design of a stable filter guaranteeing a prescribed noise attenuation level in the H-infinity sense. By using switched Lyapunov functionals, sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs), by solving which a desired H-infinity filter can be constructed. A numerical example is provided to demonstrate the effectiveness of the proposed techniques.
引用
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页码:1520 / 1525
页数:6
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