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Fault Diagnosis of Discrete Event Systems Using Place Invariants

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3682))

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.

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References

  1. 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)

    Article  MATH  MathSciNet  Google Scholar 

  2. Immanuel, B., Rangarajan, K.: System diagnosis and k-distinguishability in Petri nets. In: Private communication, India, p. 14 (2001)

    Google Scholar 

  3. Mayeda, W.: Graph Theory, pp. 523–557. John Wiley & Sons, Inc., New York (1972)

    MATH  Google Scholar 

  4. Murata, T.: Petri nets and their applications. Journal Soc. Instrum. Control Eng. 22, 6572 (1983)

    Google Scholar 

  5. Pawlak, Z.: Rough Sets, Theoretical Aspects of Reasoning about Data, p. 229. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  6. 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)

    Google Scholar 

  7. Reisig, W.: Petri Nets.An Introduction, pp. 62–66. Springer, Heidelberg (1985)

    MATH  Google Scholar 

  8. Reisig, W.: A Primer in Petri Net Design, pp. 25–33. Springer, Heidelberg (1992)

    MATH  Google Scholar 

  9. Tabakow, I.G.: Using Petri net invariants in system diagnosis. Petri Net Newsletter 58, 21–31 (2000)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. 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)

    Google Scholar 

  12. Tabakow, I.G.: Using place invariants to isolate faults in concurrent systems. Systems Science 29(4), 99–112 (2003)

    MATH  MathSciNet  Google Scholar 

  13. Zhou, M.C., DiCesare, F.: Petri net synthesis for discrete event control of manufacturing systems, p. 233. Kluwer Academic, Boston (1993)

    MATH  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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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

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  • 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)

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