IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4613-3632-7_13.html
   My bibliography  Save this book chapter

Numerical Solution of Parabolic State Constrained Control Problems Using SQP- and Interior-Point-Methods

In: Large Scale Optimization

Author

Listed:
  • Friedemann Leibfritz

    (Universität Trier, Fachbereich IV — Mathematik)

  • Ekkehard W. Sachs

    (Universität Trier, Fachbereich IV — Mathematik)

Abstract

In this paper we consider the problem to fire ceramic kilns according to a given predetermined reference profile. It can be written as an optimal control problem with a nonlinear parabolic differential equation and control input through the boundary. The objective is a quadratic performance criterion for the observed temperature inside the probe and the firing curve. In addition, restrictions on the maximal temperature are imposed which leads to state constraints. The discretization of this problem gives an optimization problem with equality and inequality constraints. The numerical solution of this problem is carried out with a SQP-method where the quadratic subproblems are solved by an interior point algorithm. The goal of this paper is not to obtain theoretical results but to investigate if these type of methods can be used in the numerical solution of parabolic control problems.

Suggested Citation

  • Friedemann Leibfritz & Ekkehard W. Sachs, 1994. "Numerical Solution of Parabolic State Constrained Control Problems Using SQP- and Interior-Point-Methods," Springer Books, in: W. W. Hager & D. W. Hearn & P. M. Pardalos (ed.), Large Scale Optimization, pages 245-258, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-3632-7_13
    DOI: 10.1007/978-1-4613-3632-7_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4613-3632-7_13. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.