Observer-Based Bilinear Control of First-Order Hyperbolic PDEs: Application to the Solar Collector

Handle URI:
http://hdl.handle.net/10754/593674
Title:
Observer-Based Bilinear Control of First-Order Hyperbolic PDEs: Application to the Solar Collector
Authors:
Mechhoud, Sarra ( 0000-0002-9362-1046 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
In this paper, we investigate the problem of bilinear control of a solar collector plant using the available boundary and solar irradiance measurements. The solar collector is described by a first-order 1D hyperbolic partial differential equation where the pump volumetric flow rate acts as the plant control input. By combining a boundary state observer and an internal energy-based control law, a nonlinear observer based feedback controller is proposed. With a feed-forward control term, the effect of the solar radiation is cancelled. Using the Lyapunov approach we prove that the proposed control guarantees the global exponential stability of both the plant and the tracking error. Simulation results are provided to illustrate the performance of the proposed method.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 54th IEEE Conference on Decision and Control (CDC)
Conference/Event name:
2015 IEEE 54th Annual Conference on Decision and Control (CDC)
Issue Date:
18-Dec-2015
DOI:
10.1109/CDC.2015.7402986
Type:
Conference Paper
ISBN:
978-1-4799-7885-4
Appears in Collections:
Conference Papers; 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.accessioned2016-01-17T14:08:27Zen
dc.date.available2016-01-17T14:08:27Zen
dc.date.issued2015-12-18en
dc.identifier.isbn978-1-4799-7885-4en
dc.identifier.doi10.1109/CDC.2015.7402986en
dc.identifier.urihttp://hdl.handle.net/10754/593674en
dc.description.abstractIn this paper, we investigate the problem of bilinear control of a solar collector plant using the available boundary and solar irradiance measurements. The solar collector is described by a first-order 1D hyperbolic partial differential equation where the pump volumetric flow rate acts as the plant control input. By combining a boundary state observer and an internal energy-based control law, a nonlinear observer based feedback controller is proposed. With a feed-forward control term, the effect of the solar radiation is cancelled. Using the Lyapunov approach we prove that the proposed control guarantees the global exponential stability of both the plant and the tracking error. Simulation results are provided to illustrate the performance of the proposed method.en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectBilinear controlen
dc.subjectFirst-order hyperbolic PDEsen
dc.titleObserver-Based Bilinear Control of First-Order Hyperbolic PDEs: Application to the Solar Collectoren
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2015 54th IEEE Conference on Decision and Control (CDC)en
dc.conference.dateDecember 15-18, 2015en
dc.conference.name2015 IEEE 54th Annual Conference on Decision and Control (CDC)en
dc.conference.locationOsaka, Japanen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorMechhoud, Sarraen
kaust.authorLaleg-Kirati, Taous-Meriemen
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