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On the speed characteristics of fault detection algorithms in dynamical systems

Dummer, S.C. (2019) On the speed characteristics of fault detection algorithms in dynamical systems.

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Abstract:Detecting faults in systems is important, as the occurrence of faults may have drastic consequences. In this paper, complications with respect to analytical model-based fault detection algorithms using statistical techniques are investigated. Using a static problem in combination with Monte Carlo simulations and analytical properties of some test statistics, properties regarding hypothesis testing were investigated. Moreover, applying a Kalman filter based detection scheme in combination with discretised stochastic differential equations, simulations were done for a DC motor. It followed that there is a trade-off between the certainty that a fault is reliably detected, the probability of a false alarm and the speed of detection. Moreover, complications such as a dependency on both the sampling interval and the number of measurements per sample occurred. The dynamical case has many more complications to deal with than the static problem.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
Link to this item:http://purl.utwente.nl/essays/78588
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