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Local energy minimization in optimal train control. (English) Zbl 1180.49043
Summary: The calculation of optimal driving strategies for on-board control of freight trains is a challenging task. In this paper we calculate the critical switching points for a globally optimal strategy on a track with steep gradients using a new local energy minimization principle. The method has been used successfully in Australia to calculate optimal switching points and hence provide in-cab advice to train drivers on long-haul freight trains.
MSC:
49N90Applications of optimal control and differential games
49S05Variational principles of physics
49M30Other numerical methods in calculus of variations