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Control of Nondeterministic Systems for Bisimulation Equivalence Under Partial Information

In this article, we investigate the synthesis of a (possibly nondeterministic) supervisor, with partial information, such that the controlled nondeterministic plant is bisimulation equivalent to a nondeterministic specification. We derive… Click to show full abstract

In this article, we investigate the synthesis of a (possibly nondeterministic) supervisor, with partial information, such that the controlled nondeterministic plant is bisimulation equivalent to a nondeterministic specification. We derive a new necessary and sufficient condition for the existence of a supervisor and provide an algorithm for the supervisor construction when one exists. The algorithm is exponential in the size of the plant and specification, a substantial improvement over the double exponential cost from exhaustive search. We show that the cases of complete information and deterministic control are special cases of the presented theory.

Keywords: nondeterministic systems; control; control nondeterministic; partial information; bisimulation; information

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2020

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