Supervisory Control of Fuzzy Discrete Event Systems

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dc.creatorCao, Yongzhi
dc.creatorYing, Mingsheng
dc.date2004-05-12
dc.date.accessioned2026-07-07T06:34:10Z
dc.date.available2026-07-07T06:34:10Z
dc.descriptionIn order to cope with situations in which a plant's dynamics are not precisely known, we consider the problem of supervisory control for a class of discrete event systems modelled by fuzzy automata. The behavior of such discrete event systems is described by fuzzy languages; the supervisors are event feedback and can disable only controllable events with any degree. The concept of discrete event system controllability is thus extended by incorporating fuzziness. In this new sense, we present a necessary and sufficient condition for a fuzzy language to be controllable. We also study the supremal controllable fuzzy sublanguage and the infimal controllable fuzzy superlanguage when a given pre-specified desired fuzzy language is uncontrollable. Our framework generalizes that of Ramadge-Wonham and reduces to Ramadge-Wonham framework when membership grades in all fuzzy languages must be either 0 or 1. The theoretical development is accompanied by illustrative numerical examples.
dc.description12 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cs/0405040
dc.identifierhttp://arxiv.org/abs/cs/0405040
dc.identifierA short version has been published in the IEEE Transactions on Systems, Man, and Cybernetics--Part B: Cybernetics, 35(2), pp. 366-371, April 2005.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99438
dc.subjectDiscrete Mathematics
dc.subjectDistributed, Parallel, and Cluster Computing
dc.subjectG.3;I.6.8
dc.titleSupervisory Control of Fuzzy Discrete Event Systems
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