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Quantitative Fault Diagnosability Performance of Linear Dynamic Descriptor Models

A theory is developed for quantifying fault detectability and fault isolability properties of time discrete linear dynamic models. Based on the model, a stochastic characterization of system behavior in different fault modes is defined and a general measure, called distinguishability, based on the Kullback-Leibler information, is used to quantify the difference between the modes. An analysis of distinguishability as a function of the number of observations is discussed. This measure is also shown to be closely related to the fault to noise ratios in residual generators. Further, the distinguishability of the model is shown to give upper limits of the fault to noise ratios of residual generators.

Daniel Eriksson, Mattias Krysander and Erik Frisk

22nd International Workshop on Principles of Diagnosis (DX-11), 2011

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