Conference Paper

A generalized approach to supervisor synthesis

Inst. for Comput. Design & Fault Tolerance, Karlsruhe Univ., Germany
DOI: 10.1109/MEMCOD.2003.1210106 In proceeding of: Formal Methods and Models for Co-Design, 2003. MEMOCODE '03. Proceedings. First ACM and IEEE International Conference on
Source: DBLP

ABSTRACT We present a generalization of the supervisory control problem proposed by Ramadge and Wonham. The objective of that problem is to synthesize a controller, which constrains a system's behavior according to a given specification, ensuring controllability and co-accessibility. By introducing a new representation of the solution using systems of μ-calculus equations we are able to handle these two conditions separately and thus to exchange the co-accessibility requirement by any μ-calculus expression. Well-known results on the complexity of μ-calculus model checking allow us to easily assess the computational complexity of any generalization. As an example we solve the synthesis problem under consideration of fairness constraints.

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