Bilinear Approximate Model-Based Robust Lyapunov Control for Parabolic Distributed Collectors

Handle URI:
http://hdl.handle.net/10754/622520
Title:
Bilinear Approximate Model-Based Robust Lyapunov Control for Parabolic Distributed Collectors
Authors:
Elmetennani, Shahrazed ( 0000-0001-7608-8713 ) ; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
This brief addresses the control problem of distributed parabolic solar collectors in order to maintain the field outlet temperature around a desired level. The objective is to design an efficient controller to force the outlet fluid temperature to track a set reference despite the unpredictable varying working conditions. In this brief, a bilinear model-based robust Lyapunov control is proposed to achieve the control objectives with robustness to the environmental changes. The bilinear model is a reduced order approximate representation of the solar collector, which is derived from the hyperbolic distributed equation describing the heat transport dynamics by means of a dynamical Gaussian interpolation. Using the bilinear approximate model, a robust control strategy is designed applying Lyapunov stability theory combined with a phenomenological representation of the system in order to stabilize the tracking error. On the basis of the error analysis, simulation results show good performance of the proposed controller, in terms of tracking accuracy and convergence time, with limited measurement even under unfavorable working conditions. Furthermore, the presented work is of interest for a large category of dynamical systems knowing that the solar collector is representative of physical systems involving transport phenomena constrained by unknown external disturbances.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Elmetennani S, Laleg-Kirati TM (2016) Bilinear Approximate Model-Based Robust Lyapunov Control for Parabolic Distributed Collectors. IEEE Transactions on Control Systems Technology: 1–8. Available: http://dx.doi.org/10.1109/TCST.2016.2618908.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Control Systems Technology
Issue Date:
9-Nov-2016
DOI:
10.1109/TCST.2016.2618908
Type:
Article
ISSN:
1063-6536; 1558-0865
Sponsors:
King Abdullah University of Science and Technology
Additional Links:
http://ieeexplore.ieee.org/document/7740024/
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorElmetennani, Shahrazeden
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-01-02T09:55:28Z-
dc.date.available2017-01-02T09:55:28Z-
dc.date.issued2016-11-09en
dc.identifier.citationElmetennani S, Laleg-Kirati TM (2016) Bilinear Approximate Model-Based Robust Lyapunov Control for Parabolic Distributed Collectors. IEEE Transactions on Control Systems Technology: 1–8. Available: http://dx.doi.org/10.1109/TCST.2016.2618908.en
dc.identifier.issn1063-6536en
dc.identifier.issn1558-0865en
dc.identifier.doi10.1109/TCST.2016.2618908en
dc.identifier.urihttp://hdl.handle.net/10754/622520-
dc.description.abstractThis brief addresses the control problem of distributed parabolic solar collectors in order to maintain the field outlet temperature around a desired level. The objective is to design an efficient controller to force the outlet fluid temperature to track a set reference despite the unpredictable varying working conditions. In this brief, a bilinear model-based robust Lyapunov control is proposed to achieve the control objectives with robustness to the environmental changes. The bilinear model is a reduced order approximate representation of the solar collector, which is derived from the hyperbolic distributed equation describing the heat transport dynamics by means of a dynamical Gaussian interpolation. Using the bilinear approximate model, a robust control strategy is designed applying Lyapunov stability theory combined with a phenomenological representation of the system in order to stabilize the tracking error. On the basis of the error analysis, simulation results show good performance of the proposed controller, in terms of tracking accuracy and convergence time, with limited measurement even under unfavorable working conditions. Furthermore, the presented work is of interest for a large category of dynamical systems knowing that the solar collector is representative of physical systems involving transport phenomena constrained by unknown external disturbances.en
dc.description.sponsorshipKing Abdullah University of Science and Technologyen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7740024/en
dc.subjectsolar energy.en
dc.subjectHyperbolic partial differential equation (PDE)en
dc.subjectLyapunov controlen
dc.subjectphenomenological modelen
dc.subjectreduced order model approximationen
dc.subjectrobust nonlinear controlen
dc.subjectsolar distributed concentrated collectoren
dc.titleBilinear Approximate Model-Based Robust Lyapunov Control for Parabolic Distributed Collectorsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalIEEE Transactions on Control Systems Technologyen
kaust.authorElmetennani, Shahrazeden
kaust.authorLaleg-Kirati, Taous-Meriemen
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