Semi-Global Predefined-Time Stable Vector Systems

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dc.contributor.authorJiménez-Rodríguez, Esteban
dc.contributor.authorSánchez-Torres, Juan D.
dc.contributor.authorLoukianov, Alexander
dc.date.accessioned2019-02-01T23:27:29Z
dc.date.available2019-02-01T23:27:29Z
dc.date.issued2018-12-17
dc.descriptionIn this paper, we expose a control function which allows the semi-global predefined-time stabilization of first-order vector systems. The predefined-time stability is a stronger class of finite-time stability that has as main advantage the settling time as a tunable parameter of the proposed function. To design that stabilizing function, we use the unit control principle jointly to the inverse incomplete gamma function. For the resulting expression, the domain of definition the inverse incomplete gamma function can be made as large as wanted with an appropriate parameter selection, and, as consequence, the attraction domain of the systems. Therefore, we say that the system exhibits semi-global predefined-time stability. As an essential feature, the parameter which defines the settling time bound and those that tune the attraction domain are independent of each other. Finally, the constructed function is used to design predefined-time stabilizing controllers which are robust against vanishing and non-vanishing perturbations.es
dc.identifier.citationE. Jiménez-Rodríguez, J. D. Sánchez-Torres and A. G. Loukianov, "Semi-Global Predefined-Time Stable Vector Systems," 2018 IEEE Conference on Decision and Control (CDC), FL, USA, 2018, pp. 4809-4814. doi: 10.1109/CDC.2018.8619355es
dc.identifier.urihttp://hdl.handle.net/11117/5808
dc.language.isoenges
dc.publisherIEEEes
dc.rights.urihttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdfes
dc.subjectPredefined-Time stabilityes
dc.subjectSliding mode controles
dc.subjectStability analysises
dc.subjectUpper boundes
dc.subjectPerturbation methodses
dc.subjectTuninges
dc.subjectAsymptotic stabilityes
dc.subjectTrajectoryes
dc.titleSemi-Global Predefined-Time Stable Vector Systemses
dc.typeinfo:eu-repo/semantics/conferencePaperes
rei.peerreviewedYeses
rei.revisorCDC

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