Modified stochastic Luenberger observers

被引：7
作者：
Hsieh, CS
Chen, FC [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Elect & Control Engn, Hsinchu, Taiwan
[2] Ind Technol Res Inst, Mech Ind Res Labs, Hsinchu 31015, Taiwan
来源：
AUTOMATICA | 2000年 / 36卷 / 12期
关键词：
stochastic Luenberger observer; minimal-order observer; two-stage filter;
D O I：
10.1016/S0005-1098(00)00105-9
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A modified stochastic Luenberger observer (MSLO) structure is proposed to recover the optimal performance of the coventional SLO for obtaining full-state estimates in linear discrete-time stochastic systems. The optimal MSLO (OMSLO) which gives the MMSE estimates is derived by using the general two-stage Kalman filter. A reduced-order form of the OMSLO is also proposed for systems having singular measurement noises. The connection between the OMSLO and the optimal minimal-order observer of Leondes and Novak is also shown. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1847 / 1854
页数：8
相关论文
共 19 条
[1]   ESTIMATION OF STATE VECTOR OF A LINEAR STOCHASTIC SYSTEM WITH A CONSTRAINED ESTIMATOR [J].
AOKI, M ;
HUDDLE, JR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1967, AC12 (04) :432-&
[2]   A UNIFIED SOLUTION TO THE SINGULAR AND NONSINGULAR LINEAR MINIMUM-VARIANCE ESTIMATION PROBLEM [J].
BEKIR, E .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (06) :590-591
[3]   A PROOF OF THE MINIMAL ORDER OBSERVER [J].
DWARAKANATH, MH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :998-1000
[4]   REDUCED ORDER STATE ESTIMATORS FOR DISCRETE-TIME STOCHASTIC-SYSTEMS [J].
FAIRMAN, FW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (04) :673-675
[5]   REDUCED-ORDER OPTIMAL STATE ESTIMATOR FOR LINEAR-SYSTEMS WITH PARTIALLY NOISE CORRUPTED MEASUREMENT [J].
FOGEL, E ;
HUANG, YF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (05) :994-996
[6]   TREATMENT OF BIAS IN RECURSIVE FILTERING [J].
FRIEDLAND, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (04) :359-+
[7]   THE OPTIMAL REDUCED-ORDER ESTIMATOR FOR SYSTEMS WITH SINGULAR MEASUREMENT NOISE [J].
HALEVI, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (07) :777-781
[8]   General two-stage Kalman filters [J].
Hsieh, CS ;
Chen, FC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (04) :819-824
[9]   Optimal solution of the two-stage Kalman estimator [J].
Hsieh, CS ;
Chen, FC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) :194-199
[10]  
Kalman R E., 1960, ASME J BASIC ENG, V82, P35, DOI [DOI 10.1115/1.3662552, 10.1115/1.3662552]
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