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Liveness and deadlock-freeness verification and enforcement in bounded Petri nets using basis reachability graphs.
- Source :
-
Automatica . Jun2024, Vol. 164, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper studies the verification and enforcement of deadlock-freeness and liveness in partially controllable Petri nets. First, we introduce a particular type of basis reachability graphs called conflict-free-control-explicit basis reachability graphs (CFCE-BRGs), in which the firings of all structurally conflicting transitions and all controllable ones are explicitly encoded. We propose two sufficient and necessary conditions for verifying deadlock-freeness and liveness of a Petri net; both can be verified by inspecting a CFCE-BRG using graph theory. Moreover, we develop two maximally permissive deadlock-freeness and liveness enforcing supervisors based on the trimming of CFCE-BRGs. The developed approaches are applicable to arbitrary bounded Petri nets, without an exhaustive reachability space enumeration. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PETRI nets
*GRAPH theory
*GRAPH algorithms
Subjects
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 164
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 176587952
- Full Text :
- https://doi.org/10.1016/j.automatica.2024.111625