Robust Kalman filter design for discrete-time systems with Markovian jumping parameters

被引:0
作者
Lee, CM [1 ]
Fong, IK [1 ]
机构
[1] Natl Taiwan Univ, Taipei 10617, Taiwan
来源
SICE 2003 ANNUAL CONFERENCE, VOLS 1-3 | 2003年
关键词
Markovian; Kalman filter; algebraic Riccati equations; LMI;
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
In this paper, the robust Kalman filtering problem for uncertain discrete-time linear systems with Markovian jumping parameters is addressed. It is assumed that the information about the jumping parameters is available, and the uncertainties are formulated by linear fractional transformation. We propose two methods for designing Markovian jumping filters so that the covariance of estimation error is bounded above. The main results are presented via a set of algebraic Riccati equations and a set of linear matrix inequalities.
引用
收藏
页码:1110 / 1115
页数:6
相关论文
共 20 条
[11]  
Gajic Z., 1995, Lyapunov Matrix Equation in System Stability and Control
[12]  
JI Y, 1990, CONTR-THEOR ADV TECH, V6, P289
[13]   CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788
[14]  
Kwakernaak H., 1972, Linear optimal control systems
[15]  
Mariton M., 1990, Jump Linear Systems in Automatic Control
[16]   Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters [J].
Shi, P ;
Boukas, EK ;
Agarwal, RK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (08) :1592-1597
[17]   ROBUST KALMAN FILTERING FOR UNCERTAIN SYSTEMS [J].
XIE, LH ;
SOH, YC .
SYSTEMS & CONTROL LETTERS, 1994, 22 (02) :123-129
[18]   ROBUST KALMAN FILTERING FOR UNCERTAIN DISCRETE-TIME-SYSTEMS [J].
XIE, LH ;
SOH, YC ;
DESOUZA, CE .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (06) :1310-1314
[19]   Output feedback H infinity control of systems with parameter uncertainty [J].
Xie, LH .
INTERNATIONAL JOURNAL OF CONTROL, 1996, 63 (04) :741-750
[20]   Design and analysis of discrete-time robust Kalman filters [J].
Chu, X ;
Soh, YC ;
Xie, LH .
AUTOMATICA, 2002, 38 (06) :1069-1077