Skip to main content

Collision avoidance at sea

  • Main Lectures
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 3))

Abstract

The problem of collision avoidance between surface ships may be examined from the perspective of either macro or micro collision avoidance. In macro collision avoidance the pilot of a ship would try for maintaining a given mileage separation between his own ship and others. Micro collision avoidance would be concerned with manoeuvres between ships of less than a given separation distance. Analysis of the two situations is different. In macro collision avoidance the other ships would often be maintaining constant speed and heading. Attention would be focused on keeping other ships out of an appropriate circle about the center of ones own ship. In micro collision avoidance other ships would in general be manoeuvering. The actual shape of the ships may be important in determining appropriate manoeuvers for own ship. In both macro and micro collision avoidance, qualitative game/control theory is useful for the determination of critical barriers and manoeuvre Results obtained this way for two ships are compared with some collision avoidance guidelines in actual use.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Blaquiere, A., Gerard, F. and Leitmann, G., Quantitative and Qualitative Games, Academic Press, New York, 1969.

    Google Scholar 

  • Carpenter, M.H. and Waldo, W.M., Automated Collision Avoidance — A New Look at an Old Problem, Maritime Institute of Technology and Graduate Studies, Linthicum Heights, Maryland, 1974.

    Google Scholar 

  • Grantham, W.J. and Vincent, T.L., "A Controllability Minimum Principle", Journal of Optimization Theory and Applications, Vol. 17, Nos 1/2, pp. 93–114, October, 1975.

    Google Scholar 

  • Isaacs, R., Differential Games, John Wiley and Sons, Inc. New York, 1965.

    Google Scholar 

  • Kelley, H.J., Kopp, R.E., Moyer, G.H., "Singular Extremals, Topics in Optimization, Edited by G. Leitmann, Academic Press, New York, 1967.

    Google Scholar 

  • Miloh, T., Determination of Critical Manoeuvres for Collision Avoidance Using the Theory of Differential Games, Institut für Schiffbau Der Universität Hamburg, Bericht Nr. 219, November 1974.

    Google Scholar 

  • Miloh, T. and Sharma, S.D., Maritime Collision Avoidance as a Differential Game, Instut für Schiffbau Der Universität Hamburg, Bericht Nr. 329, July 1975.

    Google Scholar 

  • Peng, W.Y., Controllability and Qualitative Game Transversality Conditions for Non-Smooth Targets, Ph.D. Dissertation, University of Arizona, Tucson 1973.

    Google Scholar 

  • Vincent, T.L., Cliff, E.M., Grantham, W.J., and Peng W.Y., A Problem of Collision Avoidance, University of Arizona, Tucson, EES Series Report No. 39. November 1972.

    Google Scholar 

  • Vincent, T.L. and Peng, W.Y., Ship Collision Avoidance, Navy Workshop in Differential Games, Annapolis Maryland, 1973.

    Google Scholar 

  • Vincent, T.L., "Avoidance of Guided Projectiles", The Theory and Application of Differential Games, J.D. Grote (ed.) D. Reidel, Dordrecht, pp. 267–279, 1975.

    Google Scholar 

  • Webster, W.C., When is a Collision Unavoidable? Tenth Naval Hydrodynamics Symposium, Boston, Mass. 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

P. Hagedorn H. W. Knobloch G. J. Olsder

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Springer-Verlag

About this paper

Cite this paper

Vincent, T.L. (1977). Collision avoidance at sea. In: Hagedorn, P., Knobloch, H.W., Olsder, G.J. (eds) Differential Games and Applications. Lecture Notes in Control and Information Sciences, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009072

Download citation

  • DOI: https://doi.org/10.1007/BFb0009072

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08407-5

  • Online ISBN: 978-3-540-37179-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics