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“Optimal Evasive Maneuver for a Ship in an Environment of Fixed Installations and Other Ships”

Authors: Rolf Skjong and Kåre M. Mjelde,
Affiliation: Det Norske Veritas (DNV)
Reference: 1982, Vol 3, No 4, pp. 211-222.

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Keywords: Optimal control, differential game, offshore, ship, collision, manoeuvre

Abstract: Collision avoidance for encounters between several ships and installations in the open sea, is treated as a problem of optimal control, using the theory of differential games. Each ship is, in this idealized model, assumed to have two controls corresponding to rudder angle and engine setting. The objective function, which the shipmasters try to minimize in an optimal evasive manoeuvre, is defined as the collision risk. Numerical solutions for the M-ships and I-installations optimal evasive manoeuvre problem, can be found by the ping-pong algorithm. Numerical examples are given for up to five ships and two installations.

PDF PDF (2412 Kb)        DOI: 10.4173/mic.1982.4.2



DOI forward links to this article:
  [1] Y. Yavin, T. Miloh and G. Zilman (1995), doi:10.1007/BF02192299
  [2] Y. Yavin, G. Zilman and T. Miloh (1994), doi:10.1016/0898-1221(94)00170-7
  [3] Y. Yavin, C. Frangos, G. Zilman and T. Miloh (1995), doi:10.1016/0898-1221(95)00034-V
  [4] Y. Yavin, C. Frangos, G. Zilman and T. Miloh (1995), doi:10.1016/0898-1221(95)00157-T
  [5] Y. Yavin, C. Frangos and T. Miloh (1995), doi:10.1016/0895-7177(94)00218-D
  [6] Y. Yavin, G. Zilman and T. Miloh (1995), doi:10.1016/0898-1221(95)00158-U
  [7] Thomas Statheros, Gareth Howells and Klaus McDonald Maier (2008), doi:10.1017/S037346330700447X
  [8] Y. Yavin, C. Frangos, T. Miloh and G. Zilman (1997), doi:10.1023/A:1022693600078
  [9] Alexander I. Kozynchenko and Sergey A. Kozynchenko (2018), doi:10.1016/j.oceaneng.2018.07.012
  [10] Silvia Donnarumma, Massimo Figari, Michele Martelli and Raphael Zaccone (2020), doi:10.1007/978-3-030-43890-6_9


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BibTeX:
@article{MIC-1982-4-2,
  title={{Optimal Evasive Maneuver for a Ship in an Environment of Fixed Installations and Other Ships}},
  author={Skjong, Rolf and Mjelde, Kåre M.},
  journal={Modeling, Identification and Control},
  volume={3},
  number={4},
  pages={211--222},
  year={1982},
  doi={10.4173/mic.1982.4.2},
  publisher={Norwegian Society of Automatic Control}
};

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