This paper deals with the observability analysis and the observer synthesis of a class of nonlinear systems. In the single output case, it is known [4, 5, 6] that systems which are observable independently of the inputs, admit an observable canonical form. These systems are called uniformly observable systems. Moreover, a high gain observer for these systems can be designed on the basis of this canonical form. In this paper, we extend the above results to multi-output uniformly observable systems. Corresponding canonical forms are presented and sufficient conditions which permit the design of constant and high gain observers for these systems are given.
Mots-clés : nonlinear systems, uniform observability, nonlinear observer
@article{COCV_2003__9__353_0,
author = {Hammouri, Hassan and Farza, M.},
title = {Nonlinear observers for locally uniformly observable systems},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {353--370},
publisher = {EDP-Sciences},
volume = {9},
year = {2003},
doi = {10.1051/cocv:2003017},
mrnumber = {1966538},
zbl = {1063.93012},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2003017/}
}
TY - JOUR AU - Hammouri, Hassan AU - Farza, M. TI - Nonlinear observers for locally uniformly observable systems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2003 SP - 353 EP - 370 VL - 9 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2003017/ DO - 10.1051/cocv:2003017 LA - en ID - COCV_2003__9__353_0 ER -
%0 Journal Article %A Hammouri, Hassan %A Farza, M. %T Nonlinear observers for locally uniformly observable systems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2003 %P 353-370 %V 9 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2003017/ %R 10.1051/cocv:2003017 %G en %F COCV_2003__9__353_0
Hammouri, Hassan; Farza, M. Nonlinear observers for locally uniformly observable systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 353-370. doi : 10.1051/cocv:2003017. http://www.numdam.org/articles/10.1051/cocv:2003017/
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