Abstract
In this paper we discuss a methodology for monitoring failures and other activity in discrete event systems that are described by Petri nets. Our method is based on embedding the given Petri net model in a larger Petri net that retains the functionality and properties of the given one, perhaps in a non-separate (that is, not immediately identifiable) way. This redundant Petri net embedding introduces “structured redundancy” that can be used to facilitate fault detection, identification and correction, or to offer increased capabilities for monitoring and control. We focus primarily on separate embeddings in which the functionality of the original Petri net is retained in its exact form. Using these embeddings, we construct monitors that operate concurrently with the original system and allow us to detect and identify different types of failures by performing consistency checks between the state of the original Petri net and that of the monitor. The methods that we propose are attractive because the resulting monitors are robust to failures, they may not require explicit acknowledgments from each activity, and their construction is systematic and easily adaptable to restrictions in the available information. We also discuss briefly how to construct non-separate Petri net embeddings.
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
P. E. Beckmann, Fault-Tolerant Computation Using Algebraic Homomorphisms. PhD thesis, EECS Department, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1992.
C. N. Hadjicostis, “Fault-Tolerant Computation in Semigroups and Semirings,” M. Eng. thesis, EECS Department, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1995.
T. Murata, “Petri nets: properties, analysis and applications,” Proceedings of the IEEE, vol. 77, pp. 541–580, April 1989.
F. Baccelli, G. Cohen, G. J. Olsder, and J. P. Quadrat, Synchronization and Linearity. New York: Wiley, 1992.
C. G. Cassandras, S. Lafortune, and G. J. Olsder, Trends in Control: A European Prospective. London: Springer-Verlag, 1995.
C. G. Cassandras, Discrete Event Systems. Boston: Aksen Associates, 1993.
V. Y. Fedorov and V. O. Chukanov, “Analysis of the fault tolerance of complex systems by extensions of Petri nets,” Automation and Remote Control, vol. 53, no. 2, pp. 271–280, 1992.
J. Sifakis, “Realization of fault-tolerant systems by coding Petri nets,” Journal of Design Automation and Fault-Tolerant Computing, vol. 3, pp. 93–107, April 1979.
M. Silva and S. Velilla, “Error detection and correction on Petri net models of discrete events control systems,” in Proceedings of the ISCAS, pp. 921–924, 1985.
S. B. Wicker, Error Control Systems. Englewood Cliffs, New Jersey: Prentice Hall, 1995.
C. N. Hadjicostis, Coding Approaches to Fault Tolerance in Dynamic Systems. PhD thesis, EECS Department, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1999.
C. N. Hadjicostis and G. C. Verghese, “Structured redundancy for fault tolerance in state-space models and Petri nets,” Kybernetika. To appear.
K. Yamalidou, J. Moody, M. Lemmon, and P. Antsaklis, “Feedback control of Petri net based on place invariants,” Automatica, vol. 32, no. 1, pp. 15–28, 1996.
J. O. Moody and P. J. Antsaklis, “Supervisory control using computationally efficient linear techniques: a tutorial introduction,” in Proceedings of 5th Mediterranean Conference on Control and Systems, (Cyprus), July 1997.
P. J. Ramadge and W. M. Wonham, “The control of discrete event systems,” Proceedings of the IEEE, vol. 77, pp. 81–97, 1989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hadjicostis, C.N., Verghese, G.C. (1999). Monitoring Discrete Event Systems Using Petri Net Embeddings. In: Donatelli, S., Kleijn, J. (eds) Application and Theory of Petri Nets 1999. ICATPN 1999. Lecture Notes in Computer Science, vol 1639. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48745-X_12
Download citation
DOI: https://doi.org/10.1007/3-540-48745-X_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66132-0
Online ISBN: 978-3-540-48745-6
eBook Packages: Springer Book Archive