Observers for a Class of Nonlinear Singular Systems

被引:73
作者
Darouach, M. [1 ]
Boutat-Baddas, L. [1 ]
机构
[1] Nancy Univ, IUT Longwy, CRAN CNRS, UMR 7039, F-54400 Cones Et Romain, France
关键词
Existence conditions; full order; generalized Sylvester equations; linear matrix inequalities (LMIs); minimal order; reduced order; singular systems; stability; unknown input estimation;
D O I
10.1109/TAC.2008.2007868
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 technical note considers the observers design for a class of nonlinear singular systems. The approach is based on the new parameterization of the generalized Sylvester equations solutions. The conditions for the existence of these observers are given and sufficient conditions for their stability are derived using linear matrix inequalities (LMIs) formulation. Reduced-order, minimal-order and full-order observers are designed by a unified method. A numerical example is presented to demonstrate the effectiveness of the developed method.
引用
收藏
页码:2627 / 2633
页数:7
相关论文
共 19 条
[1]  
[Anonymous], 1980, SINGULAR SYSTEMS DIF
[2]   Nonlinear observers: a circle criterion design and robustness analysis [J].
Arcak, M ;
Kokotovic, P .
AUTOMATICA, 2001, 37 (12) :1923-1930
[3]   Generalized state-space observers for chaotic synchronization and secure communication [J].
Boutayeb, M ;
Darouach, M ;
Rafaralahy, H .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (03) :345-349
[4]  
Campbell S.L., 1982, Singular Systems of Differential Equations II
[5]  
Chen J., 2012, Robust model-based fault diagnosis for dynamic systems, VVol. 3
[6]   State and input estimation for a class of uncertain systems [J].
Corless, M ;
Tu, J .
AUTOMATICA, 1998, 34 (06) :757-764
[7]  
Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[8]   DATA RECONCILIATION IN GENERALIZED LINEAR DYNAMIC-SYSTEMS [J].
DAROUACH, M ;
ZASADZINSKI, M .
AICHE JOURNAL, 1991, 37 (02) :193-201
[9]   FULL-ORDER OBSERVERS FOR LINEAR-SYSTEMS WITH UNKNOWN INPUTS [J].
DAROUACH, M ;
ZASADZINSKI, M ;
XU, SJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (03) :606-609
[10]   KALMAN FILTERING WITH UNKNOWN INPUTS VIA OPTIMAL STATE ESTIMATION OF SINGULAR SYSTEMS [J].
DAROUACH, M ;
ZASADZINSKI, M ;
ONANA, AB ;
NOWAKOWSKI, S .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1995, 26 (10) :2015-2028