Remarks on the existence of a Kazantzis-Kravaris/Luenberger observer

Vincent Andrieu (1) , Laurent Praly (2)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 CAS - Centre Automatique et Systèmes

We state sufficient conditions for the existence, on a given open set, of the extension, to non linear 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.

Domaines: Automatique / Robotique

Vincent Andrieu, Laurent Praly. Remarks on the existence of a Kazantzis-Kravaris/Luenberger observer. 43rd IEEE Conference on Decision and Control, 2004. CDC., Dec 2004, Bahamas. pp.3874 - 3879 Vol.4. ⟨hal-00529943⟩