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

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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