×

Detecting scalar intermittent faults in linear stochastic dynamic systems. (English) Zbl 1312.93094

Summary: Intermittent Faults (IFs) have properties such as intermittency, random magnitude and random duration time. Hence the detection of IFs means: (i) to detect not only all the appearing time but also all the disappearing time of IFs and (ii) to detect the appearing time of an IF before this IF disappears, and the disappearing time of an IF before the subsequent IF appears. Within a statistical framework, the detection of scalar IFs in continuous linear stochastic dynamic systems has been mainly studied. Based on the sliding window, an analytical residual is generated, and two hypothesis tests are implemented to detect the appearing and disappearing times of IFs. In addition, a necessary and sufficient condition for the detectability of IFs is obtained, and the detection speed can be fast enough. Theoretical analysis and numerical simulations fully verify that IFs can be successfully detected.

MSC:

93E03 Stochastic systems in control theory (general)
94C12 Fault detection; testing in circuits and networks
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1109/TPWRD.2011.2172695 · doi:10.1109/TPWRD.2011.2172695
[2] DOI: 10.1109/TCST.2011.2162646 · doi:10.1109/TCST.2011.2162646
[3] Ballas M., Proceedings of the IEEE AUTOTESTCON pp 78– (2011)
[4] DOI: 10.1109/TAES.2009.5259178 · doi:10.1109/TAES.2009.5259178
[5] Basseville M., Detection of Abrupt Changes: Theory and Application (1993)
[6] DOI: 10.1109/TAC.2009.2024568 · Zbl 1367.93670 · doi:10.1109/TAC.2009.2024568
[7] DOI: 10.1109/TIM.2012.2186654 · doi:10.1109/TIM.2012.2186654
[8] Chen J., Robust Model-Based Fault Diagnosis for Dynamic Systems (1998)
[9] Correcher A., Proceedings of IEEE International Symposium on Industrial Electronics 2 pp 723– (2003)
[10] DOI: 10.1109/TPWRD.2010.2068578 · doi:10.1109/TPWRD.2010.2068578
[11] DOI: 10.1109/TSP.2008.2010598 · Zbl 1391.93230 · doi:10.1109/TSP.2008.2010598
[12] Ding S. X., Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools (2008)
[13] DOI: 10.1109/TSP.2012.2208638 · Zbl 1393.94975 · doi:10.1109/TSP.2012.2208638
[14] DOI: 10.1080/00207721003653674 · Zbl 1260.93165 · doi:10.1080/00207721003653674
[15] DOI: 10.1016/0005-1098(90)90018-D · Zbl 0713.93052 · doi:10.1016/0005-1098(90)90018-D
[16] DOI: 10.1109/37.408465 · doi:10.1109/37.408465
[17] DOI: 10.1109/TSP.2006.872608 · Zbl 1373.94783 · doi:10.1109/TSP.2006.872608
[18] DOI: 10.1109/TSP.2006.879314 · Zbl 1373.93321 · doi:10.1109/TSP.2006.879314
[19] DOI: 10.1109/TPWRD.2003.822979 · doi:10.1109/TPWRD.2003.822979
[20] DOI: 10.1049/iet-cta.2010.0724 · doi:10.1049/iet-cta.2010.0724
[21] DOI: 10.1109/24.589956 · Zbl 04540286 · doi:10.1109/24.589956
[22] DOI: 10.1016/j.automatica.2005.03.028 · Zbl 1086.93040 · doi:10.1016/j.automatica.2005.03.028
[23] DOI: 10.1109/TASE.2005.860613 · doi:10.1109/TASE.2005.860613
[24] DOI: 10.1109/TRA.2003.809590 · doi:10.1109/TRA.2003.809590
[25] DOI: 10.1080/00207721.2012.687785 · Zbl 1307.93246 · doi:10.1080/00207721.2012.687785
[26] DOI: 10.1016/0005-1098(95)00008-K · Zbl 0834.93013 · doi:10.1016/0005-1098(95)00008-K
[27] DOI: 10.1016/j.automatica.2009.04.020 · Zbl 1175.93142 · doi:10.1016/j.automatica.2009.04.020
[28] DOI: 10.1137/1.9780898719512 · doi:10.1137/1.9780898719512
[29] DOI: 10.1080/00207728608926875 · Zbl 0601.90055 · doi:10.1080/00207728608926875
[30] DOI: 10.1080/00207729308949584 · Zbl 0784.68014 · doi:10.1080/00207729308949584
[31] DOI: 10.1109/TCST.2010.2067214 · doi:10.1109/TCST.2010.2067214
[32] DOI: 10.1109/TSM.2011.2154850 · doi:10.1109/TSM.2011.2154850
[33] DOI: 10.1109/TIA.2007.900446 · doi:10.1109/TIA.2007.900446
[34] DOI: 10.1109/TIE.2010.2058072 · doi:10.1109/TIE.2010.2058072
[35] DOI: 10.1109/TAC.2009.2022093 · Zbl 1367.93380 · doi:10.1109/TAC.2009.2022093
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.