One of the research priorities of the Chair of Engineering Mathematics is the development of efficient optimization methods for trajectory optimization problems. The aim is to develop deterministic methods for solving complex optimization problems in aerospace engineering as well as other areas of engineering. We study mathematical methods and their numerical properties and provide tools in the form of software packages.

In addition, we assist in modelling optimization problems and problems of optimum control. The results of projects conducted in cooperation with industry are transferred to practical applications such as automated driving or the coordination of interacting systems.

Selected Research Topics

  • Development of methods and computation of optimum collision-free trajectories for missions and docking maneuvers as well as in robotics
  • Development of real-time optimization methods and model predictive controllers for controlling interacting and/or networked systems
  • Realization of online path planning methods for modelling “optimum” drivers in an automated DGPS-based vehicle
  • Development of deep learning controllers based on neural networks and reinforcement learning
  • Analysis of scheduling problems for automated VTOL – in this context, bilevel optimization problems occur where scheduling tasks and trajectory optimization are coupled
  • Development of methods for robust design space optimization

Contact

Department of Aerospace Engineering
Institute of Applied Mathematics and Scientific Computing

Universität der Bundeswehr München
Werner-Heisenberg-Weg 39
85577 Neubiberg
Germany

Web: www.unibw.de/ingmathe

Office: Building 41/300, Room 2308 Laboratory: Building 35/700, Room 2721-2723 Office: Building 41/300, Room 2308 Laboratory: Building 35/700, Room 2721-2723

Legend

  • 1: Office: Building 41/300, Room 2308
  • 2: Laboratory: Building 35/700, Room 2721-2723