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IEICE TRANSACTIONS on Fundamentals

On Algebraic Properties of Delay-Nonconflicting Languages in Supervisory Control under Communication Delays

Jung-Min YANG, Seong-Jin PARK

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Summary :

In networked control systems, uncontrollable events may unexpectedly occur in a plant before a proper control action is applied to the plant due to communication delays. In the area of supervisory control of discrete event systems, Park and Cho [5] proposed the notion of delay-nonconflictingness for the existence of a supervisor achieving a given language specification under communication delays. In this paper, we present the algebraic properties of delay-nonconflicting languages which are necessary for solving supervisor synthesis problems under communication delays. Specifically, we show that the class of prefix-closed and delay-nonconflicting languages is closed under intersection, which leads to the existence of a unique infimal prefix-closed and delay-nonconflicting superlanguage of a given language specification.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.8 pp.2237-2239
Publication Date
2008/08/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.8.2237
Type of Manuscript
LETTER
Category
Systems and Control

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