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Article

Optimal Control as a Tool for Innovation in Aerial Twisting on a Trampoline

1
Laboratoire de Simulation et de Modélisation du Mouvement, Faculté de Médecine, Université de Montréal, Laval, QC H7N 0A5, Canada
2
AgroParisTech, F-75231 Paris, France
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(23), 8363; https://doi.org/10.3390/app10238363
Received: 31 October 2020 / Revised: 17 November 2020 / Accepted: 20 November 2020 / Published: 25 November 2020
(This article belongs to the Section Applied Biosciences and Bioengineering)
Aerial twisting techniques are preferred by trampoline coaches for their balanced landings. As these techniques are not intuitive, computer simulation has been a relevant tool to explore a variety of techniques. Up to now, twisting somersaults were mainly simulated using arm abduction/adduction only (2D). Our objective was to explore more complex (3D) but still anatomically feasible arm techniques to find innovative and robust twisting techniques. The twist rotation was maximized in a straight backward somersault performed by a model including arm abduction/adduction with and without changes in the plane of elevation. A multi-start approach was used to find a series of locally optimal performances. Six of them were retained and their robustness was assessed by adding noise to the first half of the arm kinematics and then reoptimizing the second half of the skill. We found that aerial twist performance linearly correlates with the complexity of arm trajectory. Optimal techniques share a common strategy consisting of moving the arm in a plane formed by the twisting and angular momentum axes, termed as the best tilting plane. Overall, 3D techniques are simpler and require less effort than 2D techniques for similar twist performances. Three techniques which generate ∼3 aerial twists could be used by athletes because kinematic perturbations do not compromise the performance and the landing. View Full-Text
Keywords: trampoline; optimal control; aerial twists; twisting somersaults; model simulation; coaching trampoline; optimal control; aerial twists; twisting somersaults; model simulation; coaching
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MDPI and ACS Style

Charbonneau, E.; Bailly, F.; Danès, L.; Begon, M. Optimal Control as a Tool for Innovation in Aerial Twisting on a Trampoline. Appl. Sci. 2020, 10, 8363. https://doi.org/10.3390/app10238363

AMA Style

Charbonneau E, Bailly F, Danès L, Begon M. Optimal Control as a Tool for Innovation in Aerial Twisting on a Trampoline. Applied Sciences. 2020; 10(23):8363. https://doi.org/10.3390/app10238363

Chicago/Turabian Style

Charbonneau, Eve, François Bailly, Loane Danès, and Mickaël Begon. 2020. "Optimal Control as a Tool for Innovation in Aerial Twisting on a Trampoline" Applied Sciences 10, no. 23: 8363. https://doi.org/10.3390/app10238363

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