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Non-Funded Research Activity

Solution of the Inverse Heat Conduction Problem (IHCP) using LQR Techniques

Partner: Fraunhofer IWU (Chemnitz)

  • Norman Lang
    Chemnitz university of technology,
    Research group mathematics in industry and technology,
    Reichenhainer Straße 41, 09126 Chemnitz, Germany
    Tel: +49 (0)391-6110-413
    E-mail: norman.lang@mathematik.tu-chemnitz.de
  • Dr. Jens Saak
    Max Planck Institut for Dynamics Complex Technical Systems Magdeburg,
    Computational Methods in Systems and Control Theory,
    Sandtorstr. 1, 39106 Magdeburg, Germany
    Tel: +49 (0)391-6110-216
    E-mail: saak@mpi-magdeburg.mpg.de
  • Dr. Steffen Nestmann
    Fraunhofer IWU,
    Reichenhainer Straße 88, 09126 Chemnitz, Germany
    Tel: +49 (0)371-5397-0
    E-mail: Steffen.Nestmann@iwu.fraunhofer.de
  • Klaus Schädlich
    Fraunhofer IWU,
    Reichenhainer Straße 88, 09126 Chemnitz, Germany
    Tel: +49 (0)371-5397-0
    E-mail: Klaus.Schaedlich@iwu.fraunhofer.de
Duration: since 11/2010

Project description:
With respect to the reconstruction of a heat source the inverse heat conduction problem (IHCP) is an ill-posed problem. Nevertheless such kind of problems often arises in fields of process engineering and an efficient and accurate solution method is required. The task of this project now is to handle the inverse problem via an optimal control approach. The main goal is to develop and implement an efficient algorithm to reconstruct the heat source. In particular the arising temperature from a drilling process has to be computed. To solve this problem a few measurements are taken from the outer boundary of the working piece. To keep the first tests computable with respect to their computation times a simple breadboard construction is used.
Bottom sensors Ronde

Related publications:

217Lösen der inversen Wärmeleitungsgleichung als linear quadratisches Regelungsproblem;
Norman Lang;
Diplomarbeit; Technische Universität Chemnitz;.

Jens Saak, Norman Lang, saak, norman.lang@mpi-magdeburg.mpg.de