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A sampling-based approach for handling delays in continuous and hybrid systems

dc.contributor.authorBerani Abdelwahab, Erzana
dc.contributor.authorFränzle, Martin
dc.date.accessioned2022-01-18T11:29:52Z
dc.date.available2022-01-18T11:29:52Z
dc.date.issued2021
dc.description.abstractDelays in feedback dynamics of coupled dynamical systems arise regularly, especially in embedded control where the physical plant and the controller continuously interact through digital networks. Systems featuring delays are however notoriously difficult to analyze. Consequently, formal analysis often addresses simplified, delay-free substitute models, risking negligence of the adverse impact of delay on control performance. In this ongoing work, we demonstrate that for continuous systems such as delay differential equations, a major part of the delay-induced complexity can be reduced effectively when adding natural constraints to the model of the delayed feedback channel, namely that it transports a band-limited signal and implements a non-punctual, distributed delay. The reduction is based on a sampling approach which is applicable when the above conditions on the feedback are satisfied. We further discuss the possibilities of lifting this method to mixed discrete-continuous dynamics of delayed hybrid systems and the open issues thereof.en
dc.identifier.doi10.1515/itit-2021-0010
dc.identifier.pissn2196-7032
dc.identifier.urihttps://dl.gi.de/handle/20.500.12116/37956
dc.language.isoen
dc.publisherDe Gruyter
dc.relation.ispartofit - Information Technology: Vol. 63, No. 4
dc.subjectdelay differential equations
dc.subjectfeedback delay
dc.subjectsampling
dc.subjectverification
dc.titleA sampling-based approach for handling delays in continuous and hybrid systemsen
dc.typeText/Journal Article
gi.citation.endPage298
gi.citation.publisherPlaceBerlin
gi.citation.startPage289

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