Geodesic
Nonlinear observers for locally uniformly observable systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 353-370

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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.

DOI : 10.1051/cocv:2003017
Classification : 37N35, 93Bxx
Keywords: nonlinear systems, uniform observability, nonlinear observer 
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     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://geodesic.mathdoc.fr/articles/10.1051/cocv:2003017/}
}
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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

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