Failure Detection and Identification in Linear Time-Invariant Systems,

Abstract

A solution to the problem of detecting and identifying control system component failures in linear time-invariant systems is given using the geometric concept of an unobservability subspace. Conditions are developed under which it is possible to design a causal linear processor that can be used to detect and uniquely identify a component failure in a linear time-invariant system, assuming either i) the components can fail simultaneously, or ii) the components can fail only one at a time. Explicit design algorithms are provided when those conditions are satisfied. In addition to the time domain solvability conditions, the frequency domain interpretation of the results are given, and connection is drawn with the results already available in the literature.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA188277

Entities

People

  • Alan S. Willsky
  • George C. Verghese
  • Mohammad-ali Massoumnia

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computations
  • Computer Programming
  • Computer Science
  • Control Systems
  • Damage Detection
  • Detection
  • Detectors
  • Electrical Engineering
  • Failure Mode And Effect Analysis
  • Frequency
  • Frequency Domain
  • High Reliability
  • Inertial Navigation
  • Information Processing
  • Linear Systems
  • Navigation
  • Noise

Fields of Study

  • Engineering

Readers

  • Aviation Safety Risk Assessment.
  • Linear Algebra
  • Statistical inference.