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dc.creatorVázquez Valenzuela, Rafaeles
dc.creatorKrstic, Miroslaves
dc.date.accessioned2021-06-25T10:00:32Z
dc.date.available2021-06-25T10:00:32Z
dc.date.issued2016
dc.identifier.citationVázquez Valenzuela, R. y Krstic, M. (2016). Bilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backstepping. En IEEE Conference on Decision and Control (537-542), Las Vegas, NV, USA: Institute of Electrical and Electronics Engineers (IEEE).
dc.identifier.urihttps://hdl.handle.net/11441/114846
dc.description.abstractThis paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backstepping is applied in 1-D domains with an actuator at one end. Here, we consider the use of two actuators, one at each end of the domain, which we refer to as bilateral control (as opposed to unilateral control). Bilateral control laws are derived for linear reaction-diffusion, wave and 2 × 2 hyperbolic 1-D systems (with same speed of transport in both directions). The extension is nontrivial but straightforward if the backstepping transformation is adequately posed. The resulting bilateral controllers are compared with their unilateral counterparts in the reaction-diffusion case for constant coefficients, by making use of explicit solutions, showing a reduction in control effort as a tradeoff for the presence of two actuators when the system coefficients are large. These results open the door for more sophisticated designs such as bilateral sensor/actuator output feedback and fault-tolerant designs.es
dc.description.sponsorshipMinisterio de Economía y Competitividad MTM2015-65608-Pes
dc.formatapplication/pdfes
dc.format.extent6 p.es
dc.language.isoenges
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)es
dc.relation.ispartofIEEE Conference on Decision and Control (2016), pp. 537-542.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBacksteppinges
dc.subjectKerneles
dc.subjectActuatorses
dc.subjectBoundary conditionses
dc.subjectPropagationes
dc.subjectIntegral equationses
dc.subjectFeedback controles
dc.titleBilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backsteppinges
dc.typeinfo:eu-repo/semantics/conferenceObjectes
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidoses
dc.relation.projectIDMTM2015-65608-Pes
dc.relation.publisherversionhttps://ieeexplore.ieee.org/abstract/document/7798324es
dc.identifier.doi10.1109/CDC.2016.7798324es
dc.publication.initialPage537es
dc.publication.endPage542es
dc.eventtitleIEEE Conference on Decision and Controles
dc.eventinstitutionLas Vegas, NV, USAes
dc.identifier.sisius21058109es

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