Proportional-Integral Observer Design for Nonlinear Uncertain Systems Modelled by a Multiple Model Approach

Rodolfo Orjuela (1) , Benoît Marx (1) , José Ragot (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, a decoupled multiple model approach is used in order to cope with the state estimation of uncertain nonlinear systems. The proposed decoupled multiple model provides flexibility in the modelling stage because the dimension of the submodels can be different and this constitutes the main difference with respect to the classically used multiple model scheme. The state estimation is performed using a Proportional Integral Observer (PIO) which is well known for its robustness properties with respect to uncertainties and perturbations. The Lyapunov second method is employed in order to provide sufficient existence conditions of the observer, in LMI terms, and to compute the optimal gains of the PIO. The effectiveness of the proposed methodology is illustrated by a simulation example.

Mots clés: nonlinear systems; uncertain Systems; multiple model; decoupled multiple model; state estimation; Proportional-Integral Observer

Domaines: Automatique / Robotique

Rodolfo Orjuela, Benoît Marx, José Ragot, Didier Maquin. Proportional-Integral Observer Design for Nonlinear Uncertain Systems Modelled by a Multiple Model Approach. 47th IEEE Conference on Decision and Control, CDC'08, Dec 2008, Cancun, Mexico. pp.3577-3582, ⟨10.1109/CDC.2008.4739298⟩. ⟨hal-00340182⟩