On disturbance decoupled observers for a class of bilinear systems

Michel Zasadzinski (1) , Hugues Rafaralahy (1) , Chokri Mechmeche (1) , Mohamed Darouach (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, the class of bilinear systems subjected to unknown inputs for which there exists a disturbance decoupled observer with linear error dynamics is characterised. It is shown that the design of this kind of observer is equivalent to the design of a disturbance decoupled observer for a linear system. This result simplifies considerably the observer design comparatively to those proposed in the literature, and the observer existence conditions can be easily deduced. As a corollary of this result, necessary and sufficient conditions for the existence of disturbance decoupled linear observers for bilinear systems subjected to unknown inputs are derived. This approach is extended to the fault detection of bilinear systems.

Mots clés: Bilinear systems; Unknown input observer; Full order; Reduced Order

Domaines: Automatique / Robotique

Michel Zasadzinski, Hugues Rafaralahy, Chokri Mechmeche, Mohamed Darouach. On disturbance decoupled observers for a class of bilinear systems. Journal of Dynamic Systems, Measurement, and Control, 1998, 120 (3), pp.371-377. ⟨hal-00098140⟩