General conditions for online estimation and optimization of reliability characteristics (original) (raw)

Abstract

A novel approach to estimate reliability properties of systems or components individually during operation is presented. It is distinguished between slow and fast reliability states based on an equivalent system representation. Conditions for their observability and control are given and objectives for optimal reliability-based control are discussed in general.

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References

1. H. Lu, W. J. Kolarik, S. S. Lu. Real-time Performance Reliability Prediction. IEEE Transactions on Reliability, vol, 50, no. 4, pp. 353–357, 2001.
   Article Google Scholar
2. U. K. Rakowsky, I. Pabst. On Modelling Reliability Properties in Descriptor Form. In Safety and Reliability, Proceedings of the European Conference on Safety and Reliability (ESREL 2003), vol. 2, pp. 1281–1288, Lisse, 2003.
   Google Scholar
3. F. R. Gantmacher. The Theory of Matrices, vol. 2. Chelsea Publishing Co., New York, 1959.
   Google Scholar
4. L. Dai. Singular Control Systems, volume 118 of Lecture Notes in Control and Information Sciences. Springer Verlag, Berlin, 1989.
   Google Scholar
5. C. T. Chen. Introduction to Linear System Theory. Holt, Rinehart and Winston, New York, 1970.
   Google Scholar
6. T. Kailath. Linear Systems. Prentice Hall, Englewood Cliffs, N.J., 1980.
   MATH Google Scholar
7. J. O’ Reilly. Observers for Linear Systems, Volume 170 of Mathematics in Science and Engineering. Academic Press, London, 1983.
   Google Scholar
8. I. Pabst. Observability Criteria for Slow and Fast Reliability States Within a Reliability Control System. In Proceedings of 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS2004), Catholic University, Belgium, 2004.
   Google Scholar
9. R. Schüpphaus. Control Oriented Analysis and Synthesis of Multibody Systems in Descriptor Form, number 478 in VDI Report Series 8, VDI-Verlag, Düsseldorf, 1995. (In German)
   Google Scholar
10. M. L. J. Hautus. Controllability and Observability Conditions of Linear Autonomous Systems. Indagationes Mathematicae, vol. 31, pp. 443–448, 1969.
    MathSciNet Google Scholar
11. E. L. Yip, R. F. Sincovec. Solvability, Controllability, and Observability of Continous Descriptor Systems. IEEE Transactions on Automatic Control, vol. 26, no. 3, 1981.
12. O. Zinke, H. Seither. Resistors, Capcitors, Coils and Their Materials. Springer Verlag, Berlin, 1982. (In German)
    Google Scholar
13. D. Cobb. Descriptor Variable Systems and Optimal State Regulation. IEEE Transactions on Automatic Control, vol. 28, no. 5, 601–611, 1983.
    Article MathSciNet Google Scholar
14. E. Jonckheere. Variational Calculus for Descriptor Problems. IEEE Transactions on Automatic Control, vol. 33, no. 5, pp. 491–495, 1988.
    Article MathSciNet Google Scholar
15. D. J. Bender, A. J. Laub. The Linear-quadratic Optimal Regulator for Descriptor Systems. IEEE Transactions on Automatic Control, vol. 32, no. 8, 1987.
16. P. C. Müller. Linear-quadratic Optimal Control of Nonproper Descriptor Systems. In Proceedings of 14th International Symposium on Mathematical Theory of Networks and Systems (MTNS2002), Laboratory for System Theory, University of Perpignon, France, 2002.
    Google Scholar
17. P. C. Müller. Optimal Control of Proper and Nonproper Descriptor Systems. Applied Mechanics, vol. 72, pp. 875–884, 2003.
    Google Scholar

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Authors and Affiliations

1. RMC Reliability Technology GmbH, 80809, München, Germany
   Ilona Pabst
2. University of Wuppertal, 42119, Wuppertal, Germany
   Peter C. Müller

Authors

1. Ilona Pabst
2. Peter C. Müller

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Correspondence toIlona Pabst.

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Ilona Pabst received her M.Sc degree in safety engineering from the University of Wuppertal, Germany in 1997 and her Ph.D. degree from the faculty of engineering sciences at the University of Duisburg-Essen, Germany in 2005. She is currently working as a Safety and Reliability Expert at RM-Ctech GmbH, Munich, Germany. Her research interests include online reliability modelling and reliability optimization.

Peter C. Müller received his M.Sc and Ph.D. degrees in mathematics from the University of Stuttgart, Germany in 1965 and Technical University Munich, Germany in 1970, respectively. Since 1981 he is a professor for safety control engineering at the University of Wuppertal, Germany. His research interests include control of mechanical systems, nonlinear control systems, descriptor systems, robotics and mechatronics, fault detection and supervisory control.

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Pabst, I., Müller, P.C. General conditions for online estimation and optimization of reliability characteristics.Int J Automat Comput 3, 177–183 (2006). https://doi.org/10.1007/s11633-006-0177-7

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• Received: 26 September 2005
• Revised: 30 January 2006
• Issue date: April 2006
• DOI: https://doi.org/10.1007/s11633-006-0177-7

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