Brief paper: Structural analysis for the sensor location problem in fault detection and isolation

  • Authors:
  • Christian Commault;Jean-Michel Dion;Sameh Yacoub Agha

  • Affiliations:
  • GIPSA-Lab Grenoble, Automatic Control Department, CNRS, ENSIEG-INPG BP 46, 38402 Saint Martin d'Hères, France;GIPSA-Lab Grenoble, Automatic Control Department, CNRS, ENSIEG-INPG BP 46, 38402 Saint Martin d'Hères, France;GIPSA-Lab Grenoble, Automatic Control Department, CNRS, ENSIEG-INPG BP 46, 38402 Saint Martin d'Hères, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

In this paper we tackle the sensor location problem for fault detection and isolation based on structural analysis for linear systems with faults. We deal with this problem when the system under consideration is structured, that is, the entries of the system matrices are either fixed zeros or free parameters. With such structured systems one can associate a graph. A dedicated residual set is designed using a bank of observers for solving the FDI problem. A major tool in this analysis is the notion of input separator in the associated graph, these separators form a lattice structure. The main contribution of this paper is the formulation of necessary and sufficient solvability conditions for the FDI problem in terms of number of additional sensors measuring variables between faults and input separators in the associated graph.