Optimal race course design for air races

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In the Red Bull Air Races competitors have to complete tight turns through a challenging slalom course in minimum time. To improve fairness for pilots with aerobatic planes of different performance, a new optimization approach has been developed which accurately rearranges the race course and the race conditions subject to multiple constraints. A multi-player multibody problem in flight mechanics is formulated, in which the flight paths for the different airplanes are optimized simultaneously and tightly coupled to a constrained parameter optimization problem. The result is a high-dimensional nonlinear DAE optimal control problem with varying index up to 4. Using the maximum principle, the problem is transformed into a boundary value problem for DAEs and solved numerically by an advanced multiple shooting method. It is shown mathematically that the new approach yields exactly the same solution as conventional two-stage optimization techniques, but is more stable to compute and reduces computation time by a factor greater than 280.

Original languageEnglish
Title of host publicationEngineering Optimization IV - Proceedings of the 4th International Conference on Engineering Optimization, ENGOPT 2014
EditorsH.C. Rodrigues, C.M. Mota Soares, J.M. Guedes, A.L. Araújo, J.O. Folgado, J. Herskovits, F. Moleiro, J.F.A. Madeira
PublisherCRC Press/Balkema
Pages591-596
Number of pages6
ISBN (Electronic)9781138027251
DOIs
StatePublished - 2014
Event4th International Conference on Engineering Optimization, ENGOPT 2014 - Lisbon, Portugal
Duration: 8 Sep 201411 Sep 2014

Publication series

NameEngineering Optimization IV - Proceedings of the 4th International Conference on Engineering Optimization, ENGOPT 2014

Conference

Conference4th International Conference on Engineering Optimization, ENGOPT 2014
Country/TerritoryPortugal
CityLisbon
Period8/09/1411/09/14

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