A Graph-Theoretic Approach to Fault Detection and Isolation for Structured Bilinear Systems

Taha Boukhobza (1) , Frédéric Hamelin (1) , Sébastien Canitrot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

Using a graph-theoretic approach, we address in this paper some issues related to the fault detection and isolation for structured bilinear systems. Considering a structured bilinear system submitted to faults and disturbances, we give necessary and sufficient conditions to the solvability of the so-called bilinear fundamental problem of residual generation. We treat as well the cases where the system is submitted to multiple failures occurring simultaneously or only one at a time. One of the main advantages of the proposed analysis tool is that all the given conditions are easy to check because they deal with finding paths in a digraph. This makes our approach well suited to study large scale systems.

Mots clés: Bilinear systems; Fault detection and isolation; Graph theoretic approach

Domaines: Automatique / Robotique

Taha Boukhobza, Frédéric Hamelin, Sébastien Canitrot. A Graph-Theoretic Approach to Fault Detection and Isolation for Structured Bilinear Systems. International Journal of Control, 2008, 81 (4), pp.661-678. ⟨10.1080/00207170701630396⟩. ⟨hal-00312019⟩