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Closed-Loop Live Petri Net Supervisors for GMEC

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Discrete Event Systems

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 569))

Abstract

Avoiding forbidden states by a supervisory control policy may lead to a non live system, even in the case of generalized mutual exclusion constraints (GMECs) enforced by monitor places. This leads to a problem which is very interesting in practice, but difficult even for the restricted class of marked graphs (MGs). We obtain two sufficient conditions that guarantee liveness of a MG plant with uncontrollable transitions, controlled by a monitor. A set of predicates are derived that enforce, in a maximally permissive way, a mutual exclusion constraint and closed-loop liveness for live control safe MG under some restrictions. These predicates can be implemented by a Petri Net.

This work has been carried on when Franccsco Basilc was visiting the University of Zaragoza from January to .June 1999.

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© 2000 Springer Science+Business Media New York

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Basile, F., Chiacchio, P., Recalde, L., Silva, M. (2000). Closed-Loop Live Petri Net Supervisors for GMEC. In: Boel, R., Stremersch, G. (eds) Discrete Event Systems. The Springer International Series in Engineering and Computer Science, vol 569. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4493-7_17

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  • DOI: https://doi.org/10.1007/978-1-4615-4493-7_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7025-3

  • Online ISBN: 978-1-4615-4493-7

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