Robust H∞ filtering for uncertain discrete-time systerms with time-varying delay

被引：0
作者：
Zhong, Guang-xin [1 ]
Xu, Zhao-di [1 ]
Liu, Chang [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Peoples R China
来源：
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年
关键词：
discrete-time systems; H(infinity)filter; time-varying delay; linear matrix inequality(LMI); SINGULAR SYSTEMS; LINEAR-SYSTEMS; STABILITY; DESIGN; H-2;
D O I：
暂无
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 focuses on robust Ho filter design for discrete-time systems with time-varying delay. Base on Lyapunov method, and a new technique to deal with the upper bound of some terms in the Lyapunov functions, a new less conservative Ho, performance analysis result is obtained. Moreover, the result deduces a new sufficient condition for systems with polytopic-type uncertainties. Based on the result above, the Ho filter is designed in terms of linear matrix inequalities (LMIS). Finally, numerical examples are presented to show less conservativeness of the proposed method.
引用
收藏
页码：334 / 339
页数：6
相关论文
共 26 条
[1]   Improved results on robust H ∞ control of uncertain discrete-time systems with time-varying delay [J].
Chen Y.-G. ;
Li W.-L. .
International Journal of Automation and Computing, 2009, 6 (1) :103-108
[2]   A new discrete-time robust stability conditions [J].
de Oliveira, MC ;
Bernussou, J ;
Geromel, JC .
SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :261-265
[3]   A NEW APPROACH TO THE H-INFINITY DESIGN OF OPTIMAL DIGITAL LINEAR FILTERS [J].
ELSAYED, A ;
GRIMBLE, MJ .
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1989, 6 (02) :233-251
[4]   Robust H∞ filtering of linear systems with time-varying delay [J].
Fridman, E ;
Shaked, U ;
Xie, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (01) :159-165
[5]   Robust energy-to-peak filter design for stochastic time-delay systems [J].
Gao, HJ ;
Lam, J ;
Wang, CH .
SYSTEMS & CONTROL LETTERS, 2006, 55 (02) :101-111
[6]   A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2004, 52 (06) :1631-1640
[7]   H2 and N∞ robust filtering for convex bounded uncertain systems [J].
Geromel, JC ;
de Oliveira, MC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (01) :100-107
[8]   Reduced-order H-infinity and L-2-L-infinity filtering via linear matrix inequalities [J].
Grigoriadis, KM ;
Watson, JT .
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1997, 33 (04) :1326-1338
[9]   H∞ filtering for discrete-time systems with time-varying delay [J].
He, Yong ;
Liu, Guo-Ping ;
Rees, D. ;
Wu, Min .
SIGNAL PROCESSING, 2009, 89 (03) :275-282
[10]   Guaranteed cost and H∞ filtering for discretetime polytopic uncertain systems with time delay [J].
Kim, JH ;
Ahn, SJ ;
Ahn, S .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2005, 342 (04) :365-378
123