dc.contributor.author | Auriol, Jean | |
dc.contributor.author | Morris, Kirsten | |
dc.contributor.author | Di Meglio, Florent | |
dc.date.accessioned | 2020-07-06 20:55:06 (GMT) | |
dc.date.available | 2020-07-06 20:55:06 (GMT) | |
dc.date.issued | 2019-02 | |
dc.identifier.uri | https://doi.org/10.1016/j.automatica.2018.11.024 | |
dc.identifier.uri | http://hdl.handle.net/10012/16039 | |
dc.description | The final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2018.11.024. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
dc.description.abstract | We consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. The backstepping controllers are approximated and it is proven that the finite-dimensional approximated controller stabilizes the original system if the order is high enough. This approach is known as late-lumping. The other approach to controller design for PDEs first approximates the PDE and then a controller is designed; this is known as early-lumping. Simulation results comparing the performance of late-lumping and early-lumping controllers are provided. | en |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | partial differential equations | en |
dc.subject | stabilization | en |
dc.subject | backstepping | en |
dc.subject | late-lumping | en |
dc.title | Late-lumping backstepping control of partial differential equations | en |
dc.type | Article | en |
dcterms.bibliographicCitation | “Late-Lumping Backstepping Control of Partial Differential Equations.” Automatica 100 (February 1, 2019): 247–59. https://doi.org/10.1016/j.automatica.2018.11.024. | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Applied Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |