Observability of switching structured linear systems with unknown input. A graph-theoretic approach

Taha Boukhobza (1) , Frédéric Hamelin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the observability of the discrete mode, the internal state and the input of switching structured linear systems with unknown input. The proposed method, based on a graph-theoretic approach, assumes only the knowledge of the system's structure. We express, in graphical terms, necessary and sufficient conditions for the generic observability of the discrete mode, the continuous internal state and the input of a switching structured linear system. These conditions can be implemented by classical graph theory algorithms based on finding particular paths and cycles in a digraph.

Mots clés: Switching linear systems; Mode observability; State and input observabilities; Graph theory

Domaines: Automatique / Robotique

Taha Boukhobza, Frédéric Hamelin. Observability of switching structured linear systems with unknown input. A graph-theoretic approach. Automatica, 2011, 47 (2), pp.395-402. ⟨10.1016/j.automatica.2010.11.003⟩. ⟨hal-00558669⟩