Abstract
The problem of failure detection and identification in stochastic linear timeinvariant systems is approached as a Min-Max Hypothesis Testing problem. A statistical test is proposed and a Min-Max testing technique is followed, leading to a linear transformation of the residual vector, which results in a new statistical decoupling of failure influences. The resulting problem is to detect a change of the mean in a gaussian vector sequence and to estimate the random time of failure occurrence.
Preview
Unable to display preview. Download preview PDF.
References
M. Basseville, ‘Edge detection using sequential methods for change in level—Part II. Sequential detection of change in the mean’, IEEE Trans. Acoust. Speech Sig. Process., vol ASSP-29, 1981, pp. 32–50.
R.V. Beard, ‘Failure accommodation in linear systems through self reorganization’, Mass. Inst. Technol., Cambridge MA, Rep. MVT-71-1, Feb. 1971.
A. Benveniste, M. Basseville and G.V. Moustakides, ‘The asymptotic local approach to change detection and model validation’, IEEE Trans. Automat. Control, vol AC-32, 1987, pp. 583–592.
D.V. Hinkley, ‘Inference about the change-point from cummulative sum tests’, Biometrika, vol 58, 1971, pp. 509–523.
T.H. Kerr, ‘A critique of several failure detection approaches for navigation systems’, IEEE Trans. Automat. Control, vol. AC-34, July 1989, pp. 791–792.
G. Le Vey, ‘Analyse modale et surveillance vibratoire des machines tournantes’, Thèse de l’Univ. Rennes 1, 1988.
X.C. Lou, A.S. Willsky and G.C. Verghesse, ‘Optimally robust redundancy relations for failure detection in uncertain systems’, Automatica, vol 22, 1986, pp. 333–344.
M.A. Massoumnia, G.C. Verghesse and A.S. Willsky, ‘Failure detection and identification’, IEEE Trans. Automat. Control, vol AC-34, March, 1989, pp. 316–321.
A. Rougée, M. Basseville, A. Benveniste and G.V. Moustakides, ‘Optimum robust detection of changes in the AR part of a multivariable ARMA process’, IEEE Trans. Automat. Control, vol AC-32, 1987, pp. 1116–1120.
N. Viswanadham, J.H. Taylor and E.C. Luce, ‘A frequency-domain approach to failure detection and isolation with application to GE-21 turbine engine control systems’, Control Theory and Advanced Technology, vol 3, MITA Press, March 1987, pp. 45–72.
J.E. White and J.L. Speyer, ‘Detection filter design: Spectral theory and algorithms’, IEEE Trans. Automat. Control, vol AC-32, July 1987, pp. 593–603.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Wahnon, E. (1990). A Min-Max testing approach to failure detection and identification. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systes. Lecture Notes in Control and Information Sciences, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120071
Download citation
DOI: https://doi.org/10.1007/BFb0120071
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52630-8
Online ISBN: 978-3-540-47085-4
eBook Packages: Springer Book Archive