Abstract
This paper analizes first the step-hypothesized generalized-likelihood-ratio(GLR) method for a general failure in linear discrete dynamical systems and discusses the detectionability. We find that a weakly-diagnosable-space can exist for dynamics failure rather than for sensor one. To overcome the problem, two extended GLR methods are next developed, that is, the one making use of another reduced-order GLR method which has effect for the anomaly appearing from near the weakly-diagnosable-space and the another taking into account the estimation of dominant low-frequencies’ modes other than a bias. Some comments are maid on the detection methods and the detectionability, and several criteria for optimal sensor location are mentioned about.
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References
A.S. Willsky, ‘A Survey of Design Methods for Failure Detection in Dynamic Systems’, Automatica, 12, 601/6ll (1976)
A.S. Willsky and H.L. Jones, ‘A Generalized Likelihood Ratio Approach to the Detection and Estimation of Jumps in Linear Systems’, IEEE Trans., AC-21, 108/112 (1976)
S. Tanaka, M. Sagara and T. Okita, ‘On Optimal Sensor Locations for Anomaly Diagnosis’, SICE Trans., 20 60/67 (in Japanese) (1984)
S. Tanaka, ‘Diagnosability of Systems and Optimal Sensor Location’, GAMM-Tagung, Dortmund, April (1986)
A.S. Willsky, ‘Detection of Abrupt Changes in Dynamic Systems’, Lecture Notes in Control and Information Sciences, 77, 27/49 (1986)
S. Kullback, Information Theory and Statistics, John-Wiley & Sons (1959)
W. Breinl and P.C. Müller, ‘State-Observer with Low Sensitivity and Its Application to Maglev Vehicle Suspension Control’, Regelungstechnik, 30, 403/411 (1982)
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© 1987 D. Reidel Publishing Company
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Tanaka, S., Müller, P.C. (1987). Diagnosability and Failure Detection in Linear Discrete Dynamical Systems. In: Tzafestas, S., Singh, M., Schmidt, G. (eds) System Fault Diagnostics, Reliability and Related Knowledge-Based Approaches. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3929-5_6
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DOI: https://doi.org/10.1007/978-94-009-3929-5_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8243-3
Online ISBN: 978-94-009-3929-5
eBook Packages: Springer Book Archive