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

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    Type
    Article
    Authors
    Elmetennani, Shahrazed cc
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2016-11-09
    Online Publication Date
    2016-11-09
    Print Publication Date
    2017-09
    Permanent link to this record
    http://hdl.handle.net/10754/622520
    
    Metadata
    Show full item record
    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.
    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.
    Sponsors
    King Abdullah University of Science and Technology
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Control Systems Technology
    DOI
    10.1109/TCST.2016.2618908
    Additional Links
    http://ieeexplore.ieee.org/document/7740024/
    ae974a485f413a2113503eed53cd6c53
    10.1109/TCST.2016.2618908
    Scopus Count
    Collections
    Articles; Electrical and Computer Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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