MULTIPLECUSUMTESTSFORFLUTTERMONITORING

In a previous study, we have investigated the flutter monitoring problem, stated as a statistical hypotheses testing problem regarding a specified damping coefficient, and advocated for a test built on a residual associated with subspace identification and the Cusum test. In this paper, we address the more realistic problem of monitoring two pairs of eigenfrequencies and damping coefficients subject to specific time variations. Both individual tests, monitoring separately either each of those four parameters or some convenient re-parameterizations, and joint tests, monitoring either each of the four possible pairs or each of the re-parameterized pairs, are derived and discussed. Numerical results obtained on simulated data are reported.