Supervisory Controller Synthesis for Nonterminating Processes Is an Obliging Game

Rupak Majumdar, Anne-Kathrin Schmuck · IEEE Transactions on Automatic Control · 2022

In this article, we present a new algorithm to solve the supervisory control problem over nonterminating processes modeled as$\omega$-regular automata. A solution to this problem was obtained by Thistle in 1995, which uses complex manipulations of automata. We show a new solution to the problem through a reduction toobliging games, which, in turn, can be reduced to$\omega$-regular reactive synthesis. Therefore, our reduction results in a symbolic algorithm based on manipulating sets of states.

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