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

DOI Web Site 10 Citations 20 References
  • KIMURA Katsuyuki
    Division of Electrical, Electronic and Information Engineering, Osaka University
  • TAKAI Shigemasa
    Division of Electrical, Electronic and Information Engineering, Osaka University

Abstract

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.

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