Sensitivity of computer support game algorithms of safe ship control

Lisowski, Józef

doi:10.2478/amcs-2013-0033

Abstract

The paper investigates the sensitivity of safe ship control to inaccurate data from the ARPA anti-collision radar system and to changes in the process control parameters. The system structure of safe ship control in collision situations and computer support programmes exploring information from the ARPA anti-collision radar are presented. Sensitivity characteristics of the multistage positional non-cooperative and cooperative game and kinematics optimization control algorithms are determined through examples of navigational situations with restricted visibility at sea.

References

Baba, N. and Jain, L. (2001). Computational Intelligence inGames, Physica-Verlag, New York, NY.10.1007/978-3-7908-1833-8
Search in Google Scholar
Basar, T. and Olsder, G. (1982). Dynamic Non-CooperativeGame Theory, Academic Press, New York, NY.
Search in Google Scholar
Bist, D. (2000). Safety and Security at Sea, Butter Heinemann, Oxford/New Delhi.
Search in Google Scholar
Błaszczyk, J., Karbowski, A. and Malinowski, K. (2007). Object library of algorithms for dynamic optimization problems: Benchmarking SQP and nonlinear interior point methods, International Journal of Applied Mathematicsand Computer Science 17(4): 515-537, DOI: 10.2478/v10006-007-0043-y.10.2478/v10006-007-0043-y
Search in Google Scholar
Bole, A., Dineley, B. and Wall, A. (2006). Radar and ARPAManual, Elsevier, Amsterdam/Tokyo.
Search in Google Scholar
Cahill, R. (2002). Collisions and Their Causes, Nautical Institute, London.
Search in Google Scholar
Clarke, D. (2003). The foundations of steering and manoeuvering, Proceedings of the IFAC Conference onManoeuvering and Control Marine Crafts, Girona, Spain, pp. 124-132.
Search in Google Scholar
Cockcroft, A. and Lameijer, J. (2006). The Collision AvoidanceRules, Elsevier, Amsterdam/Tokyo.
Search in Google Scholar
Engwerda, J. (2005). LQ Dynamic Optimization and DifferentialGames, John Wiley & Sons, West Sussex.
Search in Google Scholar
Fadali, M. and Visioli, A. (2009). Digital Control Engineering, Elsevier, Amsterdam/Tokyo.10.1016/B978-0-12-374498-2.00010-2
Search in Google Scholar
Fang, M. and Luo, J. (2005). The nonlinear hydrodynamic model for simulating a ship steering in waves with autopilot system, Ocean Engineering 32(11): 1486-1502.10.1016/j.oceaneng.2004.09.008
Search in Google Scholar
Findeisen, W., Szymanowski, J. and Wierzbicki, A. (1980). The Nonlinear Hydrodynamic Model for Simulating a ShipSteering in Waves with Autopilot System, Polish Scientific Publishers, Warsaw.
Search in Google Scholar
Fletcher, R. (1987). Practical Methods of Optimization, John Wiley & Sons, New York, NY.
Search in Google Scholar
Fossen, T. (2011). Marine Craft Hydrodynamics and MotionControl, Wiley, Trondheim.10.1002/9781119994138
Search in Google Scholar
Gałuszka, A. and ´Swierniak, A. (2005). Non-cooperative game approach to multi-robot planning, InternationalJournal of Applied Mathematics and Comuter Science15(3): 359-367.
Search in Google Scholar
Gluver, H. and Olsen, D. (1998). Ship Collision Analysis, A.A. Balkema, Rotterdam/Brookfield.
Search in Google Scholar
Isaacs, R. (1965). Differential Games, John Wiley & Sons, New York, NY.
Search in Google Scholar
Isil-Bozma, H. and Koditschek, D. (2001). Assembly as a non-cooperative game of its pieces: Analysis of ID sphere assemblies, Robotica 19(3): 93-108.10.1017/S0263574799002003
Search in Google Scholar
Keesman, K. (2011). System Identification, Springer, New York, NY.10.1007/978-0-85729-522-4
Search in Google Scholar
Landau, I., Lozano, R., Saadand, M. and Karimi, A. (2011). Adaptive Control, Springer, London/New York, NY.10.1007/978-0-85729-664-1
Search in Google Scholar
Lisowski, J. (2007). The dynamic game models of safe navigation, in A. Weintrit (Ed.), Marine Navigation andSafety of Sea Transportation, Gdynia Maritime University, Gdynia, pp. 23-30.
Search in Google Scholar
Lisowski, J. (2009). Sensitivity of safe game ship control on base information from ARPA radar, in G. Kouemou (Ed.), Radar Technology, In-Teh, Vukovar, pp. 61-86.
Search in Google Scholar
Lisowski, J. (2010). Optimization decision support system for safe ship control, in C.A. Brebbia (Ed.), Risk Analysis, WIT Press, Southampton/Boston, MA, pp. 259-272.10.2495/RISK100231
Search in Google Scholar
Lisowski, J. (2011). The sensitivity of safe ship control in restricted visibility at sea, in A. Weintrit (Ed.), MarineNavigation and Safety of Sea Transportation, Gdynia Maritime University, Gdynia, pp. 75-84.10.1201/b11344-14
Search in Google Scholar
Luus, R. (2000). Iterative Dynamic Programming, CRC Press, Boca Raton, FL.
Search in Google Scholar
Mehrotra, S. (1992). On the implementation of a primal-dual interior point method, SIAM Journal on Optimization2(4): 575-601.10.1137/0802028
Search in Google Scholar
Mesterton-Gibbons, M. (2001). An Introduction to GameTheoretic Modeling, American Mathematical Society, Providence, RI.
Search in Google Scholar
Millington, I. and Funge, J. (2009). Artificial Intelligence forGames, Elsevier, Amsterdam/Tokyo.10.1016/B978-0-12-374731-0.00002-5
Search in Google Scholar
Modarres, M. (2006). Risk Analysis in Engineering, Taylor & Francis Group, Boca Raton, FL.
Search in Google Scholar
Nisan, N., Roughgarden, T., Tardos, E. and Vazirani, V. (2007). Algorithmic Game Theory, Cambridge University Press, New York, NY.10.1017/CBO9780511800481
Search in Google Scholar
Osborne, M. (2004). Algorithmic Game Theory, Oxford University Press, New York, NY.
Search in Google Scholar
Pantoja, J. (1998). Differential dynamic programming and Newton’s method, International Journal of Control47(5): 1539-1553.10.1080/00207178808906114
Search in Google Scholar
Perez, T. (2005). Ship Motion Control, Springer, London.
Search in Google Scholar
Pietrzykowski, Z. (2011). The Navigational Decision SupportSystem on a Sea-Going Vessel, Maritime University, Szczecin.
Search in Google Scholar
Straffin, P. (2001). Game Theory and Strategy, Scholar,Warsaw.
Search in Google Scholar
Szlapczynski, R. and Smierzchalski, R. (2009). Supporting navigator’s decisions by visualizing ship collision risk, PolishMaritime Research 1(59): 83-88.10.2478/v10012-008-0015-7
Search in Google Scholar
Szynkiewicz, W. and Błaszczyk, J. (2011). Optimization-based approach to path planning for closed chain robot systems, International Journal of Applied Mathematicsand Computer Science 21(4): 659-670, DOI: 10.2478/v10006-011-0052-8.10.2478/v10006-011-0052-8
Search in Google Scholar
Tomera, M. (2010). Nonlinear controller design of a ship autopilot, International Journal of Applied Mathematicsand Computer Science 20(2): 271-280, DOI: 10.2478/v10006-010-0020-8.10.2478/v10006-010-0020-8
Search in Google Scholar
Tomera, M. and Smierzchalski, R. (2006). Sliding controller for ship course steering, Proceedings of the IFAC Conferenceon Manoeuvering and Control of Marine Crafts, Lisbon,Portugal, pp. 211-219.
Search in Google Scholar
Wierzbicki, A. (1984). Models and Sensitivity of Control Systems, Elsevier, Amsterdam.
Search in Google Scholar
Witkowska, A., Tomera, M. and Smierzchalski, R. (2007). A backstepping approach to ship course control, InternationalJournal of Applied Mathematics and Computer Science17(1): 73-85, DOI: 10.2478/v10006-007-0007-2.10.2478/v10006-007-0007-2
Search in Google Scholar
Zio, E. (2009). Computational Methods for Reliability and RiskAnalysis, Series on Quality, Reliability and Engineering Statistics, Word Scientific, Chennai.10.1142/7190
Search in Google Scholar

Sensitivity of computer support game algorithms of safe ship control

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