"Robust Optimal Control of Discontinuous ODE Systems"
Christian Kirches,
University of Heidelberg
Abstract:
Optimal control problems based on systems modelled from a set of ODE or DAE equations allow for very efficient solution using the direct multiple-shooting approach. The underlying numerical methods will be briefly presented. The talk focuses on two numerical methods based on this approach. In the first part, a numerical method for the efficient treatment of implicit discontinuities (switches) in the ODE system is described. Challenges and new possibilities arise with the embedding of this approach in the direct multiple shooting method. The second part of the talk considers a linearization approach for the robustification of solutions obtained from direct optimal control problems. Finally, both areas of research will meet when an algorithm is presented that allows for robustifying discontinuous problems. All presented techniques will be motivated by and applied to a powertrain oscillation control problem by DaimlerChrysler AG of Stuttgart-Untertürkheim, Germany.
Slides