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

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    Type
    Conference Paper
    Authors
    Mechhoud, Sarra 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
    2016-02-29
    Online Publication Date
    2016-02-29
    Print Publication Date
    2015-12
    Permanent link to this record
    http://hdl.handle.net/10754/593674
    
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    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.
    Citation
    Mechhoud, S., & Laleg-Kirati, T.-M. (2015). Observer-based bilinear control of first-order hyperbolic PDEs: Application to the solar collector. 2015 54th IEEE Conference on Decision and Control (CDC). doi:10.1109/cdc.2015.7402986
    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)
    ISBN
    978-1-4799-7885-4
    DOI
    10.1109/CDC.2015.7402986
    ae974a485f413a2113503eed53cd6c53
    10.1109/CDC.2015.7402986
    Scopus Count
    Collections
    Conference Papers; Electrical and Computer Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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