State and parameter estimation: a nonlinear Luenberger approach

Chouaib Afri (1, 1) , Vincent Andrieu (1, 2, 1) , Laurent Bako (3) , Pascal Dufour (1, 1)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 Arbeitsgruppe Funktionalanalysis
3 AMPERE - Ampère

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a novel algorithm for the identification of such systems is suggested and is implemented on a third order system. Compared to the adaptive observer available in the litterature, it has the advantage to be of low dimension and to admit a strict Lyapunov function.

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]

Chouaib Afri, Vincent Andrieu, Laurent Bako, Pascal Dufour. State and parameter estimation: a nonlinear Luenberger approach. 2015. ⟨hal-01232747v1⟩