Optimal sensor placement for fault detection and isolation by the structural adjacency matrix

Abstract

In this paper, we consider the optimal sensors plac ement problem for faults detection and isolation. When the detection and isolation of faults of an ex isting system’s sensors is impossible or uncertain, a reconfiguration sensor placement of this system sho uld be reconsidered. The propagation of faults (Observability/Detectability) was studied in a stru ctured linear system on a directed graph (digraph). An optimisation of sensor placement is necessary to is olate detectable faults and obtain an optimal structural isolability. To have a maximal structura l isolability, we must find all the vertex-disjoint paths knowing that this property depends upon additional sensors. This novel approach is illustrated over a two tanks application applying on a directed graph to obtain the maximal and optimal structural detectability and isolability of the system.