Optimal Predefined-Time Stabilization for a Class of Linear Systems

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dc.contributor.authorJiménez-Rodríguez, Esteban
dc.contributor.authorSánchez-Torres, Juan D.
dc.contributor.authorLoukianov, Alexander
dc.date.accessioned2017-03-31T17:00:03Z
dc.date.available2017-03-31T17:00:03Z
dc.date.issued2017-04-01
dc.descriptionThis paper addresses the problem of optimal predefined-time stability. Predefined-time stable systems are a class of fixed-time stable dynamical systems for which a bound of the settling-time function can be defined a priori as an explicit parameter of the system. Sufficient conditions for a controller to solve the optimal predefined-time stabilization problem for a given nonlinear system are provided. Furthermore, for nonlinear affine systems and a specific performance index, a family of inverse optimal predefined-time stabilizing controllers is derived. This class of controllers is applied to the inverse predefined-time optimization of the sliding manifold reaching phase in linear systems, jointly with the idea of integral sliding mode control to ensure robustness. Finally, as a study case, the developed methods are applied to an uncertain satellite system, and numerical simulations are carried out to show their behavior.es
dc.identifier.citationJiménez-Rodríguez, E., Sánchez-Torres, J. D. and Loukianov, A. (2017). "Optimal Predefined-Time Stabilization for a Class of Linear Systems, Revista de Ingeniería Electrónica, Automática y Comunicaciones, 38 (1), 90--101.es
dc.identifier.issn1815-5928
dc.identifier.urihttp://hdl.handle.net/11117/4377
dc.language.isoenges
dc.publisherInstituto Superior Politécnico José A. Echeverríaes
dc.relation.ispartofseriesRevista Ingeniería Electrónica, Automática y Comunicaciones;38 (1)
dc.rights.urihttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdfes
dc.subjectPredefined-time stabilityes
dc.subjectOptimal controles
dc.subjectLinear systemses
dc.titleOptimal Predefined-Time Stabilization for a Class of Linear Systemses
dc.typeinfo:eu-repo/semantics/articlees
rei.peerreviewedYeses
rei.revisorRevista Ingeniería Electrónica, Automática y Comunicaciones

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