Robust Kalman filter design for discrete time-delay systems

被引:12
作者
Zhu, X [1 ]
Soh, YC [1 ]
Xie, LH [1 ]
机构
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
关键词
uncertain discrete-time systems; time-delay systems; robust state estimation; Kalman filtering;
D O I
10.1007/s00034-004-7047-8
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
The problem of finite- and infinite-horizon robust Kalman filtering for uncertain discrete-time systems with state delay is addressed in this paper. The system under consideration is subject to time-varying norm-bounded parameter uncertainty in both the state and output matrices. We develop a new methodology for designing a linear filter such that the error variance of the filter is guaranteed to be within a certain upper bound for any allowed uncertainty and time delay. The solution is given in terms of two Riccati equations. Multiple time-delay systems are also investigated.
引用
收藏
页码:319 / 335
页数:17
相关论文
共 14 条
[1]   H-INFINITY ANALYSIS AND SYNTHESIS OF DISCRETE-TIME-SYSTEMS WITH TIME-VARYING UNCERTAINTY [J].
DESOUZA, CE ;
FU, MY ;
XIE, LH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (03) :459-462
[2]   Design study for a CDMA-based LEO satellite network: Downlink system level parameters [J].
Glisic, SG ;
Talvitie, JJ ;
Kumpumaki, T ;
Latvaaho, M ;
Iinatti, JH ;
Poutanen, TJ .
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 1996, 14 (09) :1796-1808
[3]  
Gorecki H., 1989, Analysis and synthesis of time delay systems
[4]  
KOLOMANOVSKII V, 1986, APPL THEORY FUNCTION
[5]   Robust Kalman filtering for continuous time-lag systems [J].
Mahmoud, MS ;
Al-Muthairi, NF ;
Bingulac, S .
SYSTEMS & CONTROL LETTERS, 1999, 38 (4-5) :309-319
[6]  
Malek-Zavarei M., 1987, TIME DELAY SYSTEMS A
[7]  
Nilsson J, 1996, IEEE DECIS CONTR P, P3173, DOI 10.1109/CDC.1996.573619
[8]  
Proakis J.G., 1995, DIGITAL COMMUNICATIO
[9]   Robust discrete-time minimum-variance filtering [J].
Theodor, Y ;
Shaked, U .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (02) :181-189
[10]   Stabilization and estimation for perturbed discrete time-delay large-scale systems [J].
Wang, WJ ;
Mau, LG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (09) :1277-1282