Unbiased minimum-variance input and state estimation for linear discrete-time systems with direct feedthrough

被引：436

作者：

Gillijns, Steven ^{[1
]}

De Moor, Bart ^{[1
]}

机构：

[1] Katholieke Univ Leuven, ESAT, SCDSISTA, B-3001 Heverlee, Belgium

来源：

AUTOMATICA | 2007年 / 43卷 / 05期

关键词：

Kalman filtering; recursive state estimation; unknown input estimatiom; minimum-variance estimation;

D O I：

10.1016/j.automatica.2006.11.016

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 extends previous work on joint input and state estimation to systems with direct feedthrough of the unknown input to the output. Using linear minimum-variance unbiased estimation, a recursive filter is derived where the estimation of the state and the input are interconnected. The derivation is based on the assumption that no prior knowledge about the dynamical evolution of the unknown input is available. The resulting filter has the structure of the Kalman filter, except that the true value of the input is replaced by an optimal estimate. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：934 / 937

页数：4

共 10 条

[1]

Anderson BDO., 2012, OPTIMAL FILTERING

[2] Extension of minimum variance estimation for systems with unknown inputs [J].

Darouach, M ;

Zasadzinski, A ;

Boutayeb, M .

AUTOMATICA, 2003, 39 (05) :867-876

[3] TREATMENT OF BIAS IN RECURSIVE FILTERING [J].

FRIEDLAND, B .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (04) :359-+

[4] Unbiased minimum-variance input and state estimation for linear discrete-time systems [J].

Gillijns, Steven ;

De Moor, Bart .

AUTOMATICA, 2007, 43 (01) :111-116

[5]

Hou M, 1998, IEEE T AUTOMAT CONTR, V43, P446

[6] DISTURBANCE DECOUPLED OBSERVER DESIGN - A UNIFIED VIEWPOINT [J].

HOU, M ;

MULLER, PC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (06) :1338-1341

[7] Robust two-stage Kalman filters for systems with unknown inputs [J].

Hsieh, CS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (12) :2374-2378

[8]

Kailath T, 2000, PR H INF SY, pXIX

[9] UNBIASED MINIMUM-VARIANCE LINEAR STATE ESTIMATION [J].

KITANIDIS, PK .

AUTOMATICA, 1987, 23 (06) :775-778

[10] Estimation and detection of unknown inputs using optimal FIR filter [J].

Park, SH ;

Kim, PS ;

Kwon, OK ;

Kwon, WH .

AUTOMATICA, 2000, 36 (10) :1481-1488

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