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Comparison of dynamic games in application to safe ship control

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper introduces methods of dynamic games for automation of ship control in the collision situation, the game control processes in marine navigation and the fundamental mathematical model of the game ship control. First, state equations, control and state constraints and then control goal function in the form of payments : the integral payment and the final one, have been defined. Multi-stage positional , and multi-step matrix, non-cooperative and cooperative, game and optimum control algorithms for a collision situation, have been presented. The considerations have been illustrated with an exemplary computer simulation of algorithms to determine a safe own ship’s trajectory in the process of passing the ships encountered in Kattegat Strait.
Rocznik
Tom
Strony
3--12
Opis fizyczny
Bibliogr. 20 poz., rys., tab.
Twórcy
autor
  • Faculty of Marine Electrical Engineering, Gdynia Maritime University, Morska 81-87, 81-225 Gdynia, POLAND
Bibliografia
  • 1. Basar T., Olsder G.J.: Dynamic noncooperative game theory. Siam, Philadelphia, 2013.
  • 2. Baba N. and Jain L.C.: Computational intelligence in games. Physica-Verlag, New York, 2001.
  • 3. Bist D.S.: Safety and security at sea. Butterworth Heinemann, Oxford-New Delhi, 2000.
  • 4. Bole A., Dineley B., Wall A.: Radar and ARPA manual. Elsevier, Amsterdam-Tokyo, 2006.
  • 5. Cahill R.A.: Collisions and their causes. The Nautical Institute, London, 2002.
  • 6. Cockcroft A.N., Lameijer N.F.: Collision avoidance rules. Elsevier, Amsterdam-Tokyo, 2006.
  • 7. Engwerda J.C.: LQ dynamic optimization and differential games. John Wiley and Sons, West Sussex, 2005.
  • 8. Gluver H., Olsen D.: Ship collision analysis. Balkema, Rotterdam, 1998.
  • 9. Isaacs R.: Differential games. John Wiley and Sons, New York, 1965.
  • 10. Millington I. and Funge J.: Artificial intelligence for games. Elsevier, Amsterdam-Tokyo, 2009.
  • 11. Modarres M.: Risk analysis in engineering. Taylor and Francis Group, Boca Raton, 2006.
  • 12. Nisan N., Roughgarden T., Tardos E., Vazirani V.V.: Algorithmic game theory. Cambridge University Press, New York, 2007, p. 717-733.
  • 13. Nise N.S.: Control systems engineering. John Wiley and Sons, New York, 2011.
  • 14. Nowak A.S, Szajowski K.: Advances in dynamic games, applications to economics, finance, optimization and stochastic control. Birkhauser, Boston, Basel, Berlin, 2000.
  • 15. Osborne M.J.: An introduction to game theory. Oxford University Press, New York, 2004.
  • 16. Pietrzykowski Z.: The navigational decision support system on a sea-going vessel. Maritime University, Szczecin, 2011.
  • 17. Radzik T.: Characterization of optimal strategies in matrix games with convexity properties. Game Theory, Vol. 29, No 2, 2000, p. 211-228.
  • 18. Straffin P.D.: Game theory and strategy. Scholar, Warszawa, 2001 (in Polish).
  • 19. Szłapczynski R., Śmierzchalski R.: Supporting navigators decisions by visualizing ship collision risk. Polish Maritime Research, Vol. 59, No 1, 2009, p. 83-88.
  • 20. Zio E.: Computational methods for reliability and risk analysis. Quality, Reliability and Engineering Statistics, No 14, Word Scientific, New Jersey-Chennai, 2009, p. 295-334.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-03b6e90f-4cba-426d-bb00-140acca5bd86
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