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arXiv · 1502.07328

Combined Top-down and Bottom-up Approach to Multilevel Supervisory Control

Jan Komenda·Tomáš Masopust·Jan H. van Schuppen
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Abstract

Recently, we have proposed two complementary approaches, top-down and bottom-up, to multilevel supervisory control of discrete-event systems. In this paper, we compare and combine these approaches. The combined approach has strong features of both approaches, namely, a lower complexity of the top-down approach with the generality of the bottom-up approach. We show that, for prefix-closed languages, a posteriori supervisors computed in the bottom-up manner do not alter maximal permissiveness within the three-level coordination control architecture, that is, the supremal three-level conditionally-controllable and conditionally-normal language can always be computed in a distributed way using multilevel coordination. Moreover, a general polynomial-time procedure for non-prefix closed case is proposed based on coordinators for nonblockingness and a posteriori supervisors.

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Jan Komenda, Tomáš Masopust, Jan H. van Schuppen. 2015-02-25. Combined Top-down and Bottom-up Approach to Multilevel Supervisory Control. https://arxiv.org/abs/1502.07328

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