Unknown input observer for state affine systems: A necessary and sufficient condition

被引：48

作者：

Hammouri, Hassan ^{[1
,2
]}

Tmar, Zied ^{[3
,4
]}

机构：

[1] Univ Lyon, F-69003 Lyon, France

[2] Univ Lyon 1, CNRS, Lab Proc Control & Chem Engn, LAGEP,UMR 5007, F-69100 Villeurbanne, France

[3] Univ 7 Novembre Carthage, Univ Tunis, Tunis, Tunisia

[4] Ecole Polytech Tunisie, Study Lab Automat Proc Control, LECAP, La Marsa 2078, Tunisia

来源：

AUTOMATICA | 2010年 / 46卷 / 02期

关键词：

Nonlinear systems; Unknown input observer; State affine models; FAULT-DETECTION; GEOMETRIC APPROACH; LINEAR-SYSTEMS; ADAPTIVE OBSERVERS; FAILURE-DETECTION; DESIGN; OBSERVABILITY; DETECTABILITY;

D O I：

10.1016/j.automatica.2009.11.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of designing an unknown input observer for linear systems and its application to fault detection is widely studied in the literature. For nonlinear systems, only subclasses of nonlinear systems and sufficient conditions have been stated. In this paper an unknown input observer design for state affine systems is considered. Based on the geometric approach, a necessary and sufficient condition is given for the existence of an unknown input observer. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：271 / 278

页数：8

共 37 条

[21] STRONG DETECTABILITY AND OBSERVERS
HAUTUS, MLJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 50 (APR) : 353 - 368
[22] DESIGN OF OBSERVERS FOR LINEAR-SYSTEMS WITH UNKNOWN INPUTS
HOU, M
MULLER, PC
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) : 871 - 875
[23] NON-LINEAR DECOUPLING VIA FEEDBACK - A DIFFERENTIAL GEOMETRIC APPROACH
ISIDORI, A
KRENER, AJ
GORIGIORGI, C
MONACO, S
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (02) : 331 - 345
[24] LIU FL, 2006, 5 IFAC S ROB CONTR D
[25] ADAPTIVE OBSERVERS FOR SINGLE OUTPUT NONLINEAR-SYSTEMS
MARINO, R
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (09) : 1054 - 1058
[26] FAILURE-DETECTION AND IDENTIFICATION
MASSOUMNIA, MA
VERGHESE, GC
WILLSKY, AS
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (03) : 316 - 321
[27] A GEOMETRIC APPROACH TO THE SYNTHESIS OF FAILURE-DETECTION FILTERS
MASSOUMNIA, MA
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (09) : 839 - 846
[28] Partial stability and boundedness of general dynamical systems on metric spaces
Michel, AN
Molchanov, AP
Sun, Y
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) : 1295 - 1316
[29] Moreno J, 2000, IEEE DECIS CONTR P, P790, DOI 10.1109/CDC.2000.912865
[30] Global observability and detectability analysis of uncertain reaction systems and observer design
Moreno, J. A.
Dochain, D.
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (07) : 1062 - 1070

← 1 2 3 4 →