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A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis approach, for design of residual generators for linear systems, is presented. The residual generation problem is transformed into a problem of finding polynomial bases for null-spaces of polynomial matrices. This is a standard problem in(More)
This work is focused on structural approaches to studying diagnosability properties given a system model taking into account, both simultaneously or separately, integral and differential causal interpretations for differential constraints. We develop a model characterization and corresponding algorithms , for studying system diagnosability using a(More)
An algorithm is proposed for computing which sensor additions that make a diagnosis requirement specification regarding fault detectability and isolability attainable for a given linear differential-algebraic model. Restrictions on possible sensor locations can be given and if the diagnosis specification is not attainable with any available sensor addition,(More)
Analyzing fault diagnosability performance for a given model, before developing a diagnosis algorithm, can be used to answer questions like " How difficult is it to detect a fault fi? " or " How difficult is it to isolate a fault fi from a fault fj? ". The main contributions are the derivation of a measure, distinguishability, and a method for analyzing(More)
— A theory is developed for quantifying fault de-tectability and fault isolability properties of static linear stochastic models. Based on the model, a stochastic characterization of system behavior in different fault modes is defined and a general measure, based on the Kullback-Leibler information, is proposed to quantify the difference between the modes.(More)
A theory is developed for quantifying fault detectabil-ity and fault isolability properties of time discrete linear dynamic models. Based on the model, a stochas-tic 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(More)
Fault tolerant systems are considered, where a nominal system is monitored by a fault detection algorithm, and the nominal system is switched to a backup system in case of a detected fault. Conventional fault detection is in the classical setting a trade-off between detection probability and false alarm probability. For the considered fault tolerant system,(More)