Abstract

In this paper, we consider the optimal sensors placement problem for faults detection and isolation. When the detection and isolation of faults of an existing system’s sensors is impossible or uncertain, a reconfiguration sensor placement of this system should be reconsidered. The propagation of faults (Observability/Detectability) was studied in a structured linear system on a directed graph (digraph). An optimisation of sensor placement is necessary to isolate detectable faults and obtain an optimal structural isolability. To have a maximal structural 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. 

Key words: Optimal sensor placement, fault detection and Isolation, linear structured systems, digraphs, structural adjacency matrix.