Brief Generic solvability of the failure detection and identification problem

  • Authors:
  • Shahin Hashtrudi Zad;Mohammad-Ali Massoumnia

  • Affiliations:
  • Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, 10 Kings College Rd., Toronto, Ontario, Canada M5S 3G4;Electrical Engineering Department, Sharif University of Technology, P.O. Box 11365-8639, Tehran, Iran

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1999

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Abstract

Necessary and sufficient conditions for the generic solvability of 'the extended fundamental problem in residual generation' (EFPRG) (Massoumnia et al., 1989, IEEE Trans. Automat. Control 34, 316-321) in the case of simultaneous actuator and sensor failures are presented. In the process of deriving these conditions, the generic forms of supremal controllability and infimal unobservability subspaces of LTI systems having diagonal state-space matrices are obtained.