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Maximally Permissive Hierarchical Control of Decentralized Discrete Event Systems

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2 Author(s)
Schmidt, K. ; Electron. & Commun. Eng. Dept., Cankaya Univ., Ankara, Turkey ; Breindl, C.

The subject of this paper is the synthesis of natural projections that serve as nonblocking and maximally permissive abstractions for the hierarchical and decentralized control of large-scale discrete event systems. To this end, existing concepts for nonblocking abstractions such as natural observers and marked string accepting (msa)-observers are extended by local control consistency (LCC) as a novel sufficient condition for maximal permissiveness. Furthermore, it is shown that, similar to the natural observer condition and the msa-observer condition, also LCC can be formulated in terms of a quasi-congruence. Based on existing algorithms in the literature, this allows to algorithmically compute natural projections that are either natural observers or msa-observers and that additionally fulfill LCC. The obtained results are illustrated by the synthesis of nonblocking and maximally permissive supervisors for a manufacturing system.

Published in:

Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 4 )

Date of Publication:

April 2011

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