# Nonlinear observers for locally uniformly observable systems

ESAIM: Control, Optimisation and Calculus of Variations (2003)

- Volume: 9, page 353-370
- ISSN: 1292-8119

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topHammouri, Hassan, and Farza, M.. "Nonlinear observers for locally uniformly observable systems." ESAIM: Control, Optimisation and Calculus of Variations 9 (2003): 353-370. <http://eudml.org/doc/245967>.

@article{Hammouri2003,

abstract = {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.},

author = {Hammouri, Hassan, Farza, M.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {nonlinear systems; uniform observability; nonlinear observer},

language = {eng},

pages = {353-370},

publisher = {EDP-Sciences},

title = {Nonlinear observers for locally uniformly observable systems},

url = {http://eudml.org/doc/245967},

volume = {9},

year = {2003},

}

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

PB - EDP-Sciences

VL - 9

SP - 353

EP - 370

AB - 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.

LA - eng

KW - nonlinear systems; uniform observability; nonlinear observer

UR - http://eudml.org/doc/245967

ER -

## References

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