Generic uniform observability analysis for bilinear systems

Taha Boukhobza (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, we study the property of generic uniform observability for structured bilinear systems. More precisely, to check whether or not a structured bilinear system generically uniformly observable, we provide a group of necessary conditions and second group of sufficient ones. These conditions are expressed in quite simple graphic-terms. On the one hand, all the given conditions are easy to check because they deal with finding paths in a digraph. On the other hand, the proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. This makes the suggested approach particularly well suited to study large scale systems or systems with unknown parameters, as it may be the case during a conception stage.

Mots clés: Structured bilinear systems; generic uniform observability; graph theory

Domaines: Automatique / Robotique

Taha Boukhobza. Generic uniform observability analysis for bilinear systems. Automatica, 2008, 44 (12), pp.3133-3138. ⟨10.1016/j.automatica.2008.05.012⟩. ⟨hal-00338115⟩