Optimal control of a slot car racer

Penner J, Schlögl T, Leyendecker S (2017)


Publication Language: English

Publication Type: Conference contribution, Original article

Publication year: 2017

Pages Range: 537-538

Conference Proceedings Title: Proc. Appl. Math. Mech (PAMM)

Event location: Weimar DE

DOI: 10.1002/pamm.201710238

Abstract

In this contribution, we present a simulation method for the optimal control of a mechatronic system that is based on discrete variational calculus and apply it to compute the time-minimal path of a slot car racer. Here, the DMOC (Discrete Mechanics and Optimal Control) method is used to generate offline optimal trajectories for the electro-mechanically coupled system, i.e. sequences of discrete configurations and sequences of driving voltages. The time-minimal path is achieved by the choice of different cost functions, the sum of time steps, the negative sum of the quadratic momenta and the negative sum of the quadratic velocities. Simulation results show that the momentum formulation yields the lowest number of iterations.

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How to cite

APA:

Penner, J., Schlögl, T., & Leyendecker, S. (2017). Optimal control of a slot car racer. In Proc. Appl. Math. Mech (PAMM) (pp. 537-538). Weimar, DE.

MLA:

Penner, Johann, Tristan Schlögl, and Sigrid Leyendecker. "Optimal control of a slot car racer." Proceedings of the GAMM Annual Meeting, Weimar 2017. 537-538.

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