TY - GEN
T1 - Probability bounds for false alarm analysis of fault detection systems
AU - Hu, Bin
AU - Seiler, Peter
PY - 2013
Y1 - 2013
N2 - Model-based fault detection methods have the potential to reduce the size, weight, and cost of safety-critical aerospace systems. One obstacle to the application of these methods is a lack of appropriate tools to efficiently certify their reliability. This paper focuses on the false alarm analysis of a general fault detection scheme. The main difficulty of the false alarm analysis is the time-correlations introduced by the plant dynamics and the fault detection filter. This paper proves product-type probability inequalities for general stationary zero-mean Gaussian processes. These inequalities are applied to provide converging bounds for the false alarm probability over a given time window. A numerical example is presented to demonstrate the proposed technique.
AB - Model-based fault detection methods have the potential to reduce the size, weight, and cost of safety-critical aerospace systems. One obstacle to the application of these methods is a lack of appropriate tools to efficiently certify their reliability. This paper focuses on the false alarm analysis of a general fault detection scheme. The main difficulty of the false alarm analysis is the time-correlations introduced by the plant dynamics and the fault detection filter. This paper proves product-type probability inequalities for general stationary zero-mean Gaussian processes. These inequalities are applied to provide converging bounds for the false alarm probability over a given time window. A numerical example is presented to demonstrate the proposed technique.
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U2 - 10.1109/Allerton.2013.6736633
DO - 10.1109/Allerton.2013.6736633
M3 - Conference contribution
AN - SCOPUS:84897732216
SN - 9781479934096
T3 - 2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
SP - 989
EP - 995
BT - 2013 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
PB - IEEE Computer Society
T2 - 51st Annual Allerton Conference on Communication, Control, and Computing, Allerton 2013
Y2 - 2 October 2013 through 4 October 2013
ER -