The focus of this paper is on stochastic change detection applied in connection with active fault diagnosis (AFD). An auxiliary input signal is applied in AFD. This signal injection in the system will in general allow us to obtain a fast change detection/isolation by considering the output or an error output from the system. The classical cumulative sum (CUSUM) test will be modified with respect to the AFD approach applied. The CUSUM method will be altered such that it will be able to detect a change in the signature from the auxiliary input signal in an (error) output signal. It will be shown how it is possible to apply both the gain and the phase change of the output signal in CUSUM tests. The method is demonstrated using an example.
@article{bwmeta1.element.bwnjournal-article-amcv18i4p487bwm,
author = {Niels K. Poulsen and Henrik Niemann},
title = {Active fault diagnosis based on stochastic tests},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {18},
year = {2008},
pages = {487-496},
zbl = {1155.93427},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv18i4p487bwm}
}
Niels K. Poulsen; Henrik Niemann. Active fault diagnosis based on stochastic tests. International Journal of Applied Mathematics and Computer Science, Tome 18 (2008) pp. 487-496. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv18i4p487bwm/
[000] Basseville M. and Nikiforov I. (1993). Detection of Abrupt Changes: Theory and Application, Prentice Hall, Englewood Cliffs, NJ.
[001] Campbell S., Horton K. and Nikoukhah R. (2002). Auxiliary signal design for rapid multi-model identification using optimization, Automatica 38(8): 1313-1325. | Zbl 1010.93033
[002] Campbell S., Horton K., Nikoukhah R. and Delebecque F. (2000). Rapid model selection and the separability index, Proceedings of the IFAC Symposium Safeprocess 2000, Budapest, Hungary, pp. 1187-1192.
[003] Campbell S. and Nikoukhah R. (2004a). Auxiliary Signal Design for Failure Detection, Princeton University Press, Princeton, NJ. | Zbl 1055.94036
[004] Campbell S. and Nikoukhah R. (2004b). Software for auxiliary signal design, Proceedings of the American Control Conference, Boston, MA, USA, pp. 4414-4419.
[005] Frank P. and Ding X. (1994). Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis, Automatica 30(5): 789-804. | Zbl 0799.93018
[006] Gustafsson F. (2000). Adaptive Filtering and Change Detection, Wiley & Sons, Chichester.
[007] Kerestecioglu F. (1993). Change Detection and Input Design in Dynamic Systems, Research Studies Press, Baldock, Hertfordshire. | Zbl 0842.93004
[008] Kerestecioglu F. and Cetin I. (2004). Optimal input design for detection of changes towards unknown hypoteses, International Journal of System Science 35(7): 435-444. | Zbl 1062.93038
[009] Kerestecioglu F. and Zarrop M. (1994). Input design for detection of abrupt changes in dynamical systems, International Journal of Control 59(4): 1063-1084. | Zbl 0808.93063
[010] Niemann H. (2003). Dual Youla parameterization, IEE Proceedings - Control Theory and Applications 150(5): 493-497.
[011] Niemann H. (2005). Fault tolerant control based on active fault diagnosis, Proceedings of the American Control Conference, Portland, OR, USA, pp. 2224-2229.
[012] Niemann H. (2006). A setup for active fault diagnosis, IEEE Transactions on Automatic Control 51(9): 1572-1578.
[013] Niemann H. and Poulsen N. (2005). Active fault diagnosis in closed-loop systems, Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, (on DVD). | Zbl 1155.93427
[014] Nikoukhah R. (1994). Innovations generation in the presence of unknown inputs: Application to robust failure detection, Automatica 30(12): 1851-1867. | Zbl 0815.93080
[015] Nikoukhah R. (1998). Guaranteed active failure detection and isolation for linear dynamical systems, Automatica 34(11): 1345-1358. | Zbl 0961.93006
[016] Nikoukhah R., Campbell S. and Delebecque F. (2000). Detection signal design for failure detection: A robust approach, International Journal of Adaptive Control and Signal Processing 14: 701-724. | Zbl 0988.93078
[017] Poulsen N. and Niemann H. (2007). Stochastic change detection based on an active fault diagnosis approach, Proceedings of the 8th Conference on Diagnostics of Processes and Systems, DPS 2007, Słubice, Poland, pp. 113-120.
[018] Tay T., Mareels I. and Moore J. (1997). High Performance Control, Birkhäuser, Boston, MA. | Zbl 0889.93001
[019] Zhang X. (1989). Auxiliary Signal Design in Fault Detection and Diagnosis, Springer Verlag, Heidelberg. | Zbl 0679.68207