2nd European Workshop on Automatic Differentiation

Thursday November 17- Friday November 18, 2005

Whitworth Conference Centre

Cranfield University (Shrivenham Campus)

Defence Academy of the UK

Shrivenham, Swindon

Julia Sternberg  and Andreas Griewank

Control of Laser Surface Hardening by a Memory Efficient Approach of Second Order

Abstract:  Consider a control problem which describes the laser surface hardening of steel. This problem is solved using one of indirect  methods,  namely  the  Riccati-Pantoja  approach, which  describes  a  computationally  efficient  stage-wise construction  of  the  Newton  direction  for  the  discrete-time optimal  control  problem. In order to apply this approach to the particular control problem of laser surface hardening of steel the previous techniques of Riccati-Pantoja approach are extended to an implicit case, which is a part of this talk.

Morover, an efficient implementation of this approach with nested reversal schedules is presented. Some heuristics are introduced, which allow us an efficient construction of nested reversal schedules. We discuss their benefits and compare their results to the optimal schedules computed by exhaustive search techniques.

Slides: SternbergNov05.pdf