Homogeneous finite time observer for nonlinear systems with linearizable error dynamics

Wilfrid Perruquetti (1, 2, 3) , Thierry Floquet (1, 2)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Centrale Lille

This paper introduces a finite time observer for nonlinear systems that can be put into a linear canonical form up to output injection. The main contribution is that finite time observation is obtained using continuous output injections. The method is applied to a problem of chaotic synchronization.

Mots clés: nonlinear systems; observer; finite time; homogeneity

Domaines: Automatique

Wilfrid Perruquetti, Thierry Floquet. Homogeneous finite time observer for nonlinear systems with linearizable error dynamics. IEEE Conference on Decision and Control, Dec 2007, New Orleans, United States. ⟨10.1109/CDC.2007.4434702⟩. ⟨inria-00171342⟩