WIAS Preprint No. 1405, (2009)

Optimal control of robot-guided laser material treatment



Authors

  • Hömberg, Dietmar
  • Steinbrecher, Andreas
  • Stykel, Tatjana

2010 Mathematics Subject Classification

  • 35K05 49K15 49K20 49M05

Keywords

  • Optimal control, coupled systems, heat equation, equations of motion, gradient based method

DOI

10.20347/WIAS.PREPRINT.1405

Abstract

In this article we will consider the optimal control of robot guided laser material treatments, where the discrete multibody system model of a robot is coupled with a PDE model of the laser treatment. We will present and discuss several optimization approaches of such optimal control problems and its properties in view of a robust and suitable numerical solution. We will illustrate the approaches in an application to the surface hardening of steel.

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