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State Estimation of Timed Labeled Petri Nets With Unobservable Transitions

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2 Author(s)
Philippe Declerck ; Lab. LISA, Univ. of Angers, Angers, France ; Patrice Bonhomme

The aim of this paper is to reconstruct the least/greatest sequence of unobservable transitions in timed Petri nets based on the online observation of firing occurrences of some transitions on a sliding horizon. The Petri net, which can be unbounded and can contain self-loops and circuits, is described under an algebraic form composed of A.x ≤ b which expresses the possible time sequence x and the fundamental marking relation. Under the assumption of Backward/Forward Conflict Freeness of the unobservable-induced subnet, we show the existence of a finite least/greatest sequence with respect to the data known on a given horizon. A technique of computation using linear programming is given.

Published in:

IEEE Transactions on Automation Science and Engineering  (Volume:11 ,  Issue: 1 )