Generalized Rayleigh quotient based sensor/actuator fault detection

Hacızade C.

8th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SAFEPROCESS 2012, Mexico City, Mexico, 29 - 31 August 2012, vol.8, pp.174-179 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 8
  • Doi Number: 10.3182/20120829-3-mx-2028.00023
  • City: Mexico City
  • Country: Mexico
  • Page Numbers: pp.174-179
  • Keywords: Aeronautical applications, Fault detection, Generalized Rayleigh quotient, Kalman filtering, Largest eigenvalue, Wishart matrix
  • Istanbul Technical University Affiliated: Yes


A new approach based on the generalized Rayleigh quotient for testing the innovation covariance of the Kalman filter is proposed. The optimization process of testing quality is reduced to the classical problem of maximization of the generalized Rayleigh quotient. The proposed fault detection algorithm is reduced to the comparison of the generalized Rayleigh quotient, which is calculated using representative sample and found quotient's bounds, and making a decision on the basis of the presented decision rule. In the simulations, the longitudinal and lateral dynamics of the F-16 aircraft model are considered, and the detection procedure of sensor/actuator faults, which affect the innovation covariance, is examined. © 2012 IFAC.