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Marked-string accepting observers for the hierarchical and decentralized control of discrete event systems
Date
2006-12-01
Author
Schmidt, Klaus Verner
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The paper extends previous work, where we develop a control theory for nonblocking hierarchical control of decentralized discrete event systems (DES). The results are based on two technical conditions for the hierarchical abstraction: it has to be (i) locally nonblocking and (ii) marked string accepting. In this paper, we investigate the systematic construction of the hierarchical abstraction. Starting from an initial natural projection which need not fulfill (i) and (ii), we provide an algorithm to compute the hierarchical abstraction with the coarsest equivalence kernel finer than that of the initial natural projection, and such that (i) and (ii) hold. Our approach extends the work in [10], where the authors compute observers for the hierarchical control of DES.
Subject Keywords
Algorithms
,
Computational methods
,
Computer operating systems
,
Decentralized control
,
Hierarchical systems
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=34250637050&origin=inward
https://hdl.handle.net/11511/72427
Conference Name
8th International Workshop on Discrete Event Systems, WODES 2006 (10 - 12 Temmuz 2006)
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
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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 obse...
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We propose a framework for the hierarchical design of discrete event systems that addresses both safety and liveness properties. Technically, we build on a notion of inputs and outputs that is closely related to J.C. Willems' behavioural systems theory. We develop a structural admissibility condition that allows for abstraction-based controller synthesis similar to previous work on hybrid control systems. A key feature of our framework is an alternation of subsystem composition and controller synthesis that...
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K. V. Schmidt, “Marked-string accepting observers for the hierarchical and decentralized control of discrete event systems,” Ann Arbor, MI, USA, 2006, p. 413, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=34250637050&origin=inward.