Abstract
This paper describes a method of using Petri net P-invariants in system diagnosis. The considered discrete event system is modelled by a live, bounded, and reversible place-transition net. The notions of D-partition of the set of places P of a given place-transition net N and net k-distinguishability are first introduced. Two different diagnosis test strategies are discussed and several examples are given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aghasaryan, A., Fabre, E., Benveniste, A., Boubour, R., Jard, C.: Fault detection and diagnosis in distributed systems: an approach by partially stochastic Petri nets. Discrete Event Dynamic Systems 8(2), 203–231 (1998), (Special issue on Hybrid Systems)
Immanuel, B., Rangarajan, K.: System diagnosis and k-distinguishability in Petri nets. In: Private communication, India, p. 14 (2001)
Mayeda, W.: Graph Theory, pp. 523–557. John Wiley & Sons, Inc., New York (1972)
Murata, T.: Petri nets and their applications. Journal Soc. Instrum. Control Eng. 22, 6572 (1983)
Pawlak, Z.: Rough Sets, Theoretical Aspects of Reasoning about Data, p. 229. Kluwer Academic Publishers, Dordrecht (1991)
Pietschker, A., Ulrich, A.: A light-weight method for trace analysis to support fault diagnosis in concurrent systems. Journal of Systemics, Cybernetics and Informatics 1(6), 6 (2003)
Reisig, W.: Petri Nets.An Introduction, pp. 62–66. Springer, Heidelberg (1985)
Reisig, W.: A Primer in Petri Net Design, pp. 25–33. Springer, Heidelberg (1992)
Tabakow, I.G.: Using Petri net invariants in system diagnosis. Petri Net Newsletter 58, 21–31 (2000)
Tabakow, I.G.: An introduction to the place-transition nets k-distinguishability. In: Concurrency, Specification and Programming. Workshop, Humboldt-Universität zu Berlin, Germany, vol. 2, pp. 355–369 (2002)
Tabakow, I.G.: Using Test Points to Improve the Place -Transition Net k-Distinguishability. In: Proc. of the 7th World Multiconference on Systemics, Cybernetics and Informatics SCI 2003, Orlando, Florida USA, July 27-30. Computer Science and Engineering II, vol. IX, pp. 173–178 (2003)
Tabakow, I.G.: Using place invariants to isolate faults in concurrent systems. Systems Science 29(4), 99–112 (2003)
Zhou, M.C., DiCesare, F.: Petri net synthesis for discrete event control of manufacturing systems, p. 233. Kluwer Academic, Boston (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tabakow, I. (2005). Fault Diagnosis of Discrete Event Systems Using Place Invariants. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2005. Lecture Notes in Computer Science(), vol 3682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11552451_73
Download citation
DOI: https://doi.org/10.1007/11552451_73
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28895-4
Online ISBN: 978-3-540-31986-3
eBook Packages: Computer ScienceComputer Science (R0)