Discretisation method and stability criteria for non-linear systems under discrete-time time delay control

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dc.contributor.authorJung, J. H.
dc.contributor.authorChang, P. H.
dc.contributor.authorStefanov, D.
dc.contributor.institutionMedical Technologies
dc.date.accessioned2024-07-24T12:03:42Z
dc.date.available2024-07-24T12:03:42Z
dc.date.issued2011-07-21
dc.description.abstractTime delay control (TDC) for non-linear systems has rapidly drawn attention as a result of its unusually robust performance and yet its extraordinarily compact form. In many real applications, TDC has been implemented digitally and the time delay, λ, was set to the sampling period of the control system, which is a constant during the control process. The existing stability analysis, however, has been made based on the assumption of the continuous-time TDC and infinitesimal time delay (λ→0). The assumption not only fails to reflect the reality that the closed-loop system (CLS) is a sampled-data system, but also leads to a stability criterion in which important parameters, such as λ, are absent. In this paper, therefore, sufficient stability criteria for a non-linear system based on the premise of discrete-time TDC and λ that is equal to the sampling period are presented. To this end, we have first proposed a discretization method to derive the approximate discrete-time model of CLS. Then by using the model and the concepts of consistency and Lyapunov stability, we have derived stability criteria for the exact discrete-time model of CLS. The suggested criteria consist of the sampling period and other parameters of TDC. These criteria have been verified by simulation results.en
dc.description.statusPeer reviewed
dc.format.extent13
dc.identifier.citationJung , J H , Chang , P H & Stefanov , D 2011 , ' Discretisation method and stability criteria for non-linear systems under discrete-time time delay control ' , IET Control Theory and Applications , vol. 5 , no. 11 , pp. 1264-1276 . https://doi.org/10.1049/iet-cta.2010.0181
dc.identifier.doi10.1049/iet-cta.2010.0181
dc.identifier.issn1751-8644
dc.identifier.urihttps://hdl.handle.net/11556/3378
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=80052008574&partnerID=8YFLogxK
dc.language.isoeng
dc.relation.ispartofIET Control Theory and Applications
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subject.keywordsControl and Systems Engineering
dc.subject.keywordsHuman-Computer Interaction
dc.subject.keywordsComputer Science Applications
dc.subject.keywordsControl and Optimization
dc.subject.keywordsElectrical and Electronic Engineering
dc.titleDiscretisation method and stability criteria for non-linear systems under discrete-time time delay controlen
dc.typejournal article
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