Xavier David-Henriet, L. Hardouin, J. Raisch, Bertrand Cottenceau
{"title":"Optimal control for timed event graphs under partial synchronization","authors":"Xavier David-Henriet, L. Hardouin, J. Raisch, Bertrand Cottenceau","doi":"10.1109/CDC.2013.6761097","DOIUrl":null,"url":null,"abstract":"Timed event graphs (TEGs) are a subclass of timed Petri nets suitable to model decision-free timed discrete event systems. In classical TEGs, exact synchronization of two transitions T<sub>1</sub> and T<sub>2</sub> is available by requiring that transitions T<sub>1</sub> and T<sub>2</sub> fire simultaneously. In this paper, a new sort of synchronization, namely partial synchronization, is introduced: transition T<sub>2</sub> has to fire when transition T<sub>1</sub> fires, but transition T<sub>1</sub> is not influenced by transition T<sub>2</sub>. Under some assumptions, optimal control, already available for classical TEGs, is extended to TEGs under partial synchronization.","PeriodicalId":415568,"journal":{"name":"52nd IEEE Conference on Decision and Control","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"52nd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2013.6761097","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
Timed event graphs (TEGs) are a subclass of timed Petri nets suitable to model decision-free timed discrete event systems. In classical TEGs, exact synchronization of two transitions T1 and T2 is available by requiring that transitions T1 and T2 fire simultaneously. In this paper, a new sort of synchronization, namely partial synchronization, is introduced: transition T2 has to fire when transition T1 fires, but transition T1 is not influenced by transition T2. Under some assumptions, optimal control, already available for classical TEGs, is extended to TEGs under partial synchronization.