dc.creator | Chen, Stephen | es |
dc.creator | Vázquez Valenzuela, Rafael | es |
dc.creator | Krstic, Miroslav | es |
dc.date.accessioned | 2022-10-10T16:49:54Z | |
dc.date.available | 2022-10-10T16:49:54Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Chen, S., Vázquez Valenzuela, R. y Krstic, M. (2022). Folding Bilateral Backstepping Output-Feedback Control Design for an Unstable Parabolic PDE. IEEE Transactions on Automatic Control, 67 (5), 2389-2404. https://doi.org/10.1109/TAC.2021.3080503. | |
dc.identifier.issn | 0018-9286 | es |
dc.identifier.uri | https://hdl.handle.net/11441/137783 | |
dc.description.abstract | We present a novel methodology for designing output-feedback backstepping bilateral boundary controllers for an unstable 1D diffusion-reaction partial differential equation (PDE) with spatially varying reaction. Using
folding transforms the parabolic PDE into a 2 × 2 coupled
PDE system with coupling through compatibility conditions. We apply a two-tiered backstepping approach, where
the invertibility of the transformations guarantees the statefeedback controllers exponentially stabilize the trivial solution of the PDE system. A state observer is also designed
for two collocated measurements at an arbitrary interior
point, generating exponentially stable state estimates. The
output feedback control law is formulated by composing
the independently designed state-feedback controller with
the observer, and the resulting dynamic feedback is shown
to stabilize the trivial solution. Some numerical analysis on
how the selection of these points affect the responses of
the controller and observer are discussed, with simulations
illustrating various choices of folding points and their effect
on the stabilization in different performance indexes. | es |
dc.format | application/pdf | es |
dc.format.extent | 16 p. | es |
dc.language.iso | eng | es |
dc.publisher | Institute of Electrical and Electronics Engineers Inc. | es |
dc.relation.ispartof | IEEE Transactions on Automatic Control, 67 (5), 2389-2404. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Backstepping | es |
dc.subject | Distributed parameter systems | es |
dc.subject | Multiple input | es |
dc.subject | Partial differential equations (PDE) | es |
dc.title | Folding Bilateral Backstepping Output-Feedback Control Design for an Unstable Parabolic PDE | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos | es |
dc.relation.publisherversion | https://ieeexplore.ieee.org/abstract/document/9431688 | es |
dc.identifier.doi | 10.1109/TAC.2021.3080503 | es |
dc.journaltitle | IEEE Transactions on Automatic Control | es |
dc.publication.volumen | 67 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 2389 | es |
dc.publication.endPage | 2404 | es |