Robust Trajectory Optimization of a Ski Jumper for Uncertainty Influence and Safety Quantification

Proceedings

Piprek, Patrick¹ 

关键词: generalized polynomial chaos;    trajectory optimization;    ski jumping;    uncertainty quantification;    stochastic collocation;    robust optimization;    ski jumping safety;   

DOI  :  10.3390/proceedings2060320

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

This paper deals with the development of a robust optimal control framework for a previously developed multi-body ski jumper simulation model by the authors. This framework is used to model uncertainties acting on the jumper during his jump, e.g., wind or mass, to enhance the performance, but also to increase the fairness and safety of the competition. For the uncertainty modeling the method of generalized polynomial chaos together with the discrete expansion by stochastic collocation is applied: This methodology offers a very flexible framework to model multiple uncertainties using a small number of required optimizations to calculate an uncertain trajectory. The results are then compared to the results of the Latin-Hypercube sampling method to show the correctness of the applied methods. Finally, the results are examined with respect to two major metrics: First, the influence of the uncertainties on the jumper, his positioning with respect to the air, and his maximal achievable flight distance are examined. Then, the results are used in a further step to quantify the safety of the jumper.

【 授权许可】

CC BY