10.08 About Optimal Control Methods in Ski Jumping (skOPTing)

Research

The main focus of the project is on the biomechanical and flight dynamic modelling of a ski jumper and the application of optimal control methods, targeting the increase of competitive performance and at the same time the prevention of injuries. The experience in the field of aircraft trajectory optimization at the Institute of Flight System Dynamics (FSD), and in biomechanical modelling at the Department of Biomechanics in Sports will be combined in this project in order to perform highly realistic simulations and optimizations. Utilizing the synergies, a great impact on current understanding and quantitative analysis can be achieved.

The ski jumper model will stand out from current work, as a multibody biomechanical model of the human and advanced aerodynamics will be aggregated within a modular, extensible structure in an incremental process over the course of the cooperation. Moreover, high-performance tools developed at the FSD in previous projects will be utilized to apply direct optimal control methods to the ski jump problem, modeled using the experience of the Department of Biomechanics in sports. This will allow for advanced analysis using sophisticated methods of optimal control theory, like sensitivity analysis and bilevel optimization.

Expected results are a comprehensive understanding of control strategies and physical effects in ski jumping, possible improvements to increase the athlete’s performance and to quantify the impact of external parameters (e.g. wind) on the ski jump. Using bilevel optimization methods, strategies for reducing the risk of specific injuries like crucial ligament rupture can be deducted.

Publications

Piprek, P. & Holzapfel, F.: "Robust Trajectory Optimization of a Ski Jumper for Uncertainty and Safety Quantification", 2018.

Piprek, P. et al.: "Multi-Body Ski Jumper Model with Nonlinear Dynamic Inversion Muscle Control for Trajectory Optimization", 2018.

Bessone, V., Petrat, J., Seiberl, W., & Schwirtz, A.: "Analysis of Landing in Ski Jumping by Means of Inertial Sensors and Force Insoles", 2018.

Piprek, P. et al.: "Enhanced Kinematics Calculation for an Online Trajectory Generation Module", 2017.

J. Diepolder, M. Bittner, P. Piprek, B. Grüter, F. Holzapfel: "Aircraft Optimal Control Based on Numerical Nonlinear Dynamic Inversion", 2017.

Schneider, V., Piprek, P., et al.: “Online Trajectory Generation Using Clothoid Segments”, 2016.

Team

Project team leader

Benedikt Grüter
Institute of Flight System Dynamics

Doctoral researcher

Xiang Fang
Institute of Flight System Dynamics

Alumna

Dr. phil. Veronica Bessone
Chair for Biomechanics in Sports

Doctoral researcher

Patrick Piprek
Institute of Flight System Dynamics

Doctoral researcher

Johannes Petrat
Chair for Biomechanics in Sports

Principal investigator

Professor Florian Holzapfel
Institute of Flight System Dynamics

Principal investigator

Professor Ansgar Schwirtz
Chair for Biomechanics in Sports