TY - CONF A1 - Döhler, Michael A1 - Mevel, L. A1 - Hille, Falk T1 - Efficient computation of minmax tests for fault isolation and their application to structural damage localization T2 - 19th World congress of the international federation of automatic control (Proceedings) N2 - Fault detection and isolation can be handled by many different approaches. This paper builds upon a hypothesis test that checks whether the mean of a Gaussian random vector has become non-zero in the faulty state, based on a chi2 test. For fault isolation, it has to be decided which components in the parameter set of the Gaussian vector have changed, which is done by variants of the chi2 hypothesis test using the so-called sensitivity and minmax approaches. While only the sensitivity of the tested parameter component is taken into account in the sensitivity approach, the sensitivities of all parameters are used in the minmax approach, leading to better statistical properties at the expense of an increased computational burden. The computation of the respective test variable in the minmax test is cumbersome and may be ill-conditioned especially for large parameter sets, asking hence for a careful numerical evaluation. Furthermore, the fault isolation procedure requires the repetitive calculation of the test variable for each of the parameter components that are tested for a change, which may be a significant computational burden. In this paper, dealing with the minmax problem, we propose a new efficient computation for the test variables, which is based on a simultaneous QR decomposition for all parameters. Based on this scheme, we propose an efficient test computation for a large parameter set, leading to a decrease in the numerical complexity by one order of magnitude in the total number of parameters. Finally, we show how the minmax test is useful for structural damage localization, where an asymptotically Gaussian residual vector is computed from output-only vibration data of a mechanical or a civil structure. PB - IFAC T2 - 19th World congress of the international federation of automatic control CY - Cape Town, South Africa DA - 24.08.2014 KW - Fault isolation KW - Residual evaluation KW - Statistical tests KW - Numerical computation KW - Mechanical systems PY - 2014 UR - https://opus4.kobv.de/opus4-bam/frontdoor/index/index/docId/31573 AN - OPUS4-31573 SP - 7382 EP - 7387 AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany