Adaptive Energy-based Bilinear Control of First-Order 1-D Hyperbolic PDEs: Application to a One-Loop Parabolic Solar Collector Trough

Handle URI:
http://hdl.handle.net/10754/626404
Title:
Adaptive Energy-based Bilinear Control of First-Order 1-D Hyperbolic PDEs: Application to a One-Loop Parabolic Solar Collector Trough
Authors:
Mechhoud, Sarra ( 0000-0002-9362-1046 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
In 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Mechhoud 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.
Publisher:
Elsevier BV
Journal:
Journal of the Franklin Institute
Issue Date:
14-Dec-2017
DOI:
10.1016/j.jfranklin.2017.12.003
Type:
Article
ISSN:
0016-0032
Sponsors:
Research 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.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0016003217306348
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorMechhoud, Sarraen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-12-21T13:57:03Z-
dc.date.available2017-12-21T13:57:03Z-
dc.date.issued2017-12-14en
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.en
dc.identifier.issn0016-0032en
dc.identifier.doi10.1016/j.jfranklin.2017.12.003en
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.en
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.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0016003217306348en
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/en
dc.subjectDistributed parameter systemsen
dc.subjectbilinear controlen
dc.subjectstate and input estimationen
dc.subjectadaptive controlen
dc.subjectoutput feedback controlen
dc.subjectpractical asymptotic stabilityen
dc.titleAdaptive Energy-based Bilinear Control of First-Order 1-D Hyperbolic PDEs: Application to a One-Loop Parabolic Solar Collector Troughen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of the Franklin Instituteen
dc.eprint.versionPost-printen
kaust.authorMechhoud, Sarraen
kaust.authorLaleg-Kirati, Taous-Meriemen
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