Title :
Remarks on the existence of a Kazantzis-Kravaris/Luenberger observer
Author :
Andrieu, Vincent ; Praly, Laurent
Author_Institution :
DPRS, ONERA, Chatillon, France
Abstract :
We state sufficient conditions for the existence, on a given open set, of the extension, to nonlinear systems, of the Luenberger observer as it has been proposed by Kazantzis and Kravaris. To weaken these conditions, the observer is modified in a way which induces a time rescaling and which follows from a forward unboundedness observability property. Also, we state it is sufficient to choose the dimension of the dynamic system, giving the observer, less than or equal to 2 + twice the dimension of the state to be observed. Finally we show how approximation is allowed and we establish a link with high gain observers.
Keywords :
nonlinear control systems; observability; observers; Kazantzis-Kravaris Luenberger observer; forward unboundedness observability property; high gain observers; nonlinear systems; time rescaling; Convergence; Linear systems; Observability; Observers; Partial differential equations; Resonance; State estimation; Sufficient conditions;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429342