Testing the covariance matrix of the innovation sequence in application to aircraft sensor fault det

Hajiyev C.

17th World Congress, International Federation of Automatic Control, IFAC, Seoul, South Korea, 6 - 11 July 2008, vol.17 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 17
  • Doi Number: 10.3182/20080706-5-kr-1001.0071
  • City: Seoul
  • Country: South Korea
  • Keywords: Fault detection and diagnosis, Filtering and smoothing, Mechanical and aerospace estimation
  • Istanbul Technical University Affiliated: Yes


Operative methods of testing the covariance matrix of the innovation sequence of the Kalman filter are proposed. The quadratic form of the random Wishart matrix is used in this process as monitoring statistic, and the testing problem is reduced to the classical problem of minimization of a quadratic form on the unit sphere. As a result, two algorithms for testing the covariance matrix of the innovation sequence are proposed. In the first algorithm, the sum of all the elements of the matrix is used for the scalar measure of the Wishart matrix being tested, while in the second algorithm the maximal eigenvalue of this matrix is used. In the simulations, the longitudinal and lateral dynamics of the F-16 aircraft model is considered, and detection of pitch rate gyro failures, which affect the covariance matrix of the innovation sequence, are examined. Some recommendations for the fastest detection of failure are given. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.