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Real-Time Computation of Strategies of Differential Games with Applications to Collision Avoidance

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Variational Calculus, Optimal Control and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 124))

Abstract

Contemporary developments of on-board systems for automatic or semiautomatic driving include car collision avoidance. For this purpose a worst case approach based on pursuit-evasion differential games is investigated. On a freeway a correct driver (evader) is faced with a wrong driver (pursuer) ahead. The correct driver tries to avoid collision against all possible maneuvers of the wrong driver and additionally tries to stay on the freeway. The representation of an optimal collision avoidance strategy along a lot of optimal paths is used to synthesize implementations with neural networks. Examples of simulations which proved satisfactory performance of the on-board collision avoidance system against various typical maneuvers of wrong drivers are presented.

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Lachner, R., Breitner, M.H., Pesch, H.J. (1998). Real-Time Computation of Strategies of Differential Games with Applications to Collision Avoidance. In: Schmidt, W.H., Heier, K., Bittner, L., Bulirsch, R. (eds) Variational Calculus, Optimal Control and Applications. International Series of Numerical Mathematics, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8802-8_28

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  • DOI: https://doi.org/10.1007/978-3-0348-8802-8_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9780-8

  • Online ISBN: 978-3-0348-8802-8

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