Show simple item record

dc.contributor.authorMechhoud, Sarra
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2017-12-21T13:57:03Z
dc.date.available2017-12-21T13:57:03Z
dc.date.issued2017-12-14
dc.identifier.citationMechhoud S, Laleg-Kirati T-M (2017) Adaptive Energy-based Bilinear Control of First-Order 1-D Hyperbolic PDEs: Application to a One-Loop Parabolic Solar Collector Trough. Journal of the Franklin Institute. Available: http://dx.doi.org/10.1016/j.jfranklin.2017.12.003.
dc.identifier.issn0016-0032
dc.identifier.doi10.1016/j.jfranklin.2017.12.003
dc.identifier.urihttp://hdl.handle.net/10754/626404
dc.description.abstractIn this paper, the adaptive bilinear control of a first-order 1-D hyperbolic partial differential equation (PDE) with an unknown time-varying source term is investigated where only boundary measurements are available. By means of boundary injection, the bilinear adaptive law is developed in the Lyapunov approach. It consists of a state observer and an input adaptation law combined with a bilinear control method derived using an energy-like principle. Both global asymptotic practical convergence of the tracking error and input-to-state stability of the system are guaranteed. A potential application of this control strategy is the one-loop solar collector parabolic trough where the solar irradiance is the unknown input (source term) and the flow rate is the control variable. The objective is to drive the boundary temperature at the outlet to track a desired profile. Simulation results are provided to illustrate the performance of the proposed method.
dc.description.sponsorshipResearch reported in this publication has been supported by the King Abdullah University of Science and Technology (KAUST). The authors are very thankful to the anonymous reviewers and to the Associate Editor for their valuable comments which helped improving the presentation.
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0016003217306348
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of the Franklin Institute. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of the Franklin Institute, [, , (2017-12-14)] DOI: 10.1016/j.jfranklin.2017.12.003 . © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDistributed parameter systems
dc.subjectbilinear control
dc.subjectstate and input estimation
dc.subjectadaptive control
dc.subjectoutput feedback control
dc.subjectpractical asymptotic stability
dc.titleAdaptive Energy-based Bilinear Control of First-Order 1-D Hyperbolic PDEs: Application to a One-Loop Parabolic Solar Collector Trough
dc.typeArticle
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.identifier.journalJournal of the Franklin Institute
dc.eprint.versionPost-print
kaust.personMechhoud, Sarra
kaust.personLaleg-Kirati, Taous-Meriem
refterms.dateFOA2019-12-14T00:00:00Z
dc.date.published-online2017-12-14
dc.date.published-print2018-01


Files in this item

Thumbnail
Name:
1-s2.0-S0016003217306348-main.pdf
Size:
2.525Mb
Format:
PDF
Description:
Accepted Manuscript

This item appears in the following Collection(s)

Show simple item record