Nonblocking Similarity Control of Nondeterministic Discrete Event Systems under Event and State Observations

Shigemasa TAKAI

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E101-A    No.2    pp.328-337
Publication Date: 2018/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E101.A.328
Type of Manuscript: Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)
nondeterministic discrete event system,  supervisory control,  similarity control,  nonblocking supervisor,  

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In this paper, we consider a similarity control problem for nondeterministic discrete event systems, which requires us to synthesize a nonblocking supervisor such that the supervised plant is simulated by a given specification. We assume that a supervisor can observe not only the event occurrence but also the current state of the plant. We present a necessary and sufficient condition for the existence of a nonblocking supervisor that solves the similarity control problem and show how to verify it in polynomial time. Moreover, when the existence condition of a nonblocking supervisor is satisfied, we synthesize such a supervisor as a solution to the similarity control problem.