Bisimilarity Control of Nondeterministic Discrete Event Systems under Event and State Observations

Katsuyuki KIMURA  Shigemasa TAKAI  

IEICE TRANSACTIONS on Information and Systems   Vol.E97-D   No.5   pp.1140-1148
Publication Date: 2014/05/01
Online ISSN: 1745-1361
DOI: 10.1587/transinf.E97.D.1140
Type of Manuscript: Special Section PAPER (Special Section on Formal Approach)
Category: Formal Verification
discrete event system,  supervisory control,  nondeterministic system,  bisimilarity control,  

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In this paper, we study a supervisory control problem for plants and specifications modeled by nondeterministic automata. This problem requires to synthesize a nondeterministic supervisor such that the supervised plant is bisimilar to a given specification. We assume that a supervisor can observe not only the event occurrence but also the current state of the plant, and introduce a notion of completeness of a supervisor which guarantees that all nondeterministic transitions caused by events enabled by the supervisor are defined in the supervised plant. We define a notion of partial bisimulation between a given specification and the plant, and prove that it serves as a necessary and sufficient condition for the existence of a bisimilarity enforcing complete supervisor.