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Minimum-Weight Controllable and Normal Sublanguages

In practical applications we are frequently required to find a supervisor that can achieve certain optimal performance. Some performance such as maximum throughput or minimum execution time/cost can be specified in terms of weights. In this paper we first define a minimum-weight supervisory control problem on weighted discrete-event systems. Then we show that, the supremal minimum-weight controllable and normal sublanguages exist, and can be computed by a terminable algorithm.