An algorithm for computing supremal nonblocking state-normal supervisors for nondeterministic systems

Recently supervisor synthesis for nondeterministic systems has gained more and more attention, owing to the potential computational advantage of using nondeterministic automata in modular/distributed synthesis. It is well known that, in the Ramadge/Wonham language-based supervisory control paradigm, the supremal nonblocking normal supervisor always exists (although may be empty) and is computable. In this paper we will show that, for a nondeterministic plant model and a deterministic specification, a similar entity called the supremal nonblocking state-normal supervisor also exists, which coincides with the supremal nonblocking normal supervisor when the plant model becomes deterministic. We then present a concrete algorithm to compute such a supervisor and analyze the relevant computational complexity.