Analytic control law for a food storage room

S. van Mourik, Heiko J. Zwart, K.J. Keesman

    Research output: Book/ReportReportProfessional

    52 Downloads (Pure)

    Abstract

    A storage room contains a bulk of potatoes that produce heat due to respiration. A ventilator blows cooled air around to keep the potatoes cool and prevent spoilage. The aim is to design a control law such that the product temperature is kept at a constant, desired level. This physical system is modelled by a set of nonlinear coupled partial differential equations (pde's) with nonlinear input. Due to their complex form, standard control design will not be adequate. A novel modelling procedure is proposed. The input is considered to attain only discrete values. Analysis of the transfer functions of the system in the frequency domain leads to a simplification of the model into a set of static ordinary differential equations ode's). The desired control law is now the optimal time to switch between the discrete input values on an intermediate time interval. The switching time can be written as a symbolic expression of all physical parameters of the system. Finally, a dynamic controller can be designed that regulates the air temperature on a large time interval, by means of adjustment of the switching time.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages26
    Publication statusPublished - Jan 2007

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1/1819
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • EWI-8607
    • METIS-241967
    • IR-66731

    Cite this

    van Mourik, S., Zwart, H. J., & Keesman, K. J. (2007). Analytic control law for a food storage room. (Memorandum / Department of Applied Mathematics; No. 1/1819). Enschede: University of Twente, Department of Applied Mathematics.
    van Mourik, S. ; Zwart, Heiko J. ; Keesman, K.J. / Analytic control law for a food storage room. Enschede : University of Twente, Department of Applied Mathematics, 2007. 26 p. (Memorandum / Department of Applied Mathematics; 1/1819).
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    series = "Memorandum / Department of Applied Mathematics",
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    van Mourik, S, Zwart, HJ & Keesman, KJ 2007, Analytic control law for a food storage room. Memorandum / Department of Applied Mathematics, no. 1/1819, University of Twente, Department of Applied Mathematics, Enschede.

    Analytic control law for a food storage room. / van Mourik, S.; Zwart, Heiko J.; Keesman, K.J.

    Enschede : University of Twente, Department of Applied Mathematics, 2007. 26 p. (Memorandum / Department of Applied Mathematics; No. 1/1819).

    Research output: Book/ReportReportProfessional

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    van Mourik S, Zwart HJ, Keesman KJ. Analytic control law for a food storage room. Enschede: University of Twente, Department of Applied Mathematics, 2007. 26 p. (Memorandum / Department of Applied Mathematics; 1/1819).