Delay-dependent robust H∞ filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality

被引：83
作者：
Zhang, Xian-Ming [1 ]
Han, Qing-Long
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China
[2] Univ Cent Queensland, Fac business & Informat, Sch Comp Sci, Rockhampton, Qld 4702, Australia
[3] Univ Cent Queensland, Sch Comp Sci, Fac Business & Informat, Rockhampton, Qld 4702, Australia
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2006年 / 53卷 / 12期
关键词：
discrete-time linear systems; H infinity filtering; linear matrix inequality (LMI); stability; time-varying delay;
D O I：
10.1109/TCSII.2006.884116
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief is concerned with delay-dependent robust H(infinity) filtering for uncertain discrete-time systems with time-varying delay. The uncertainty is of convex polytopic type. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) is derived. In combination with a parameter-dependent Lyapunov-Krasovskii functional, which allows the Lyapunov-Krasovskii matrices to be vertex dependent, the obtained BRL is modified into a new version to suit for convex polytopic uncertainties. Neither model transformation nor bounding technique for cross terms is involved. Based on the new BRL, the designed filter is provided in terms of a linear matrix inequality (LMI), which is easily solved by Matlab LMI toolbox. A numerical example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码：1466 / 1470
页数：5
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