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Mathematical Models of Ships and Underwater Vehicles

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Encyclopedia of Systems and Control

Abstract

This entry describes the equations of motion of ships and underwater vehicles. Standard hydrodynamic models in the literature are reviewed and presented using the nonlinear robot-like vectorial notation of Fossen (Nonlinear modelling and control of underwater vehicles. PhD thesis, Department of Engineering Cybernetic, Norwegian University of Science and Technology, 1991; Guidance and control of ocean vehicles. Wiley, Chichester/New York, 1994; Handbook of marine craft hydrodynamics and motion control. Wiley, Chichester/Hoboken, 2011). The matrix-vector notation is highly advantageous when designing control systems since well-known system properties such as symmetry, skew-symmetry, and positiveness can be exploited in the design.

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Recommended Reading

  • Allmendinger E (ed) (1990) Submersible vehicle systems design. SNAME, Jersey City

    Google Scholar 

  • Anotonelli G (2010)Underwater robots: motion and force control of vehicle-manipulator systems. Springer, Berlin/New York

    Google Scholar 

  • Bertram V (2012) Practical ship hydrodynamics. Elsevier, Amsterdam/London

    Google Scholar 

  • Faltinsen O (1990) Sea loads on ships and offshore structures. Cambridge

    Google Scholar 

  • Fossen TI (1991) Nonlinear modelling and control of underwater vehicles. PhD thesis, Department of Engineering Cybernetic, Norwegian University of Science and Technology

    Google Scholar 

  • Fossen TI (1994) Guidance and control of ocean vehicles. Wiley, Chichester/New York

    Google Scholar 

  • Fossen TI (2011) Handbook of marine craft hydrodynamics and motion control. Wiley, Chichester/Hoboken

    Book  Google Scholar 

  • Inzartsev AV (2009) Intelligent underwater vehicles. I-Tech Education and Publishing. Open access: http://www.intechweb.org/

  • Lewanddowski EM (2004) The dynamics of marine craft. World Scientific, Singapore

    Google Scholar 

  • MSS (2010) Marine systems simulator. Open access: http://www.marinecontrol.org/

  • Newman JN (1977) Marine hydrodynamics. MIT, Cambridge

    Google Scholar 

  • Perez T (2005) Ship motion control. Springer, Berlin/London

    Google Scholar 

  • Perez T, Fossen TI (2011a) Practical aspects of frequency-domain identification of dynamic models of marine structures from hydrodynamic data. Ocean Eng 38:426–435

    Article  Google Scholar 

  • Perez T, Fossen TI (2011b) Motion control of marine craft, Ch. 33. In: Levine WS (ed) The control systems handbook: control system advanced methods, 2nd edn. CRC, Hoboken

    Google Scholar 

  • Rawson KJ, Tupper EC (1994) Basic ship theory. Longman Group, Harlow/New York

    Google Scholar 

  • SNAME (1950) Nomenclature for treating the motion of a submerged body through a fluid. SNAME, Technical and Research Bulletin no 1–5, pp 1–15

    Google Scholar 

  • Sutton R, Roberts G (2006) Advances in unmanned marine vehicles. IEE control series. The Institution of Engineering and Technology, London

    Google Scholar 

  • Wadoo S, Kachroo P (2010) Autonomous underwater vehicles: modeling, control design and simulation. Taylor and Francis, London

    Google Scholar 

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Correspondence to Thor I. FosseN .

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© 2014 Springer-Verlag London

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FosseN, T. (2014). Mathematical Models of Ships and Underwater Vehicles. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_121-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_121-2

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  • Online ISBN: 978-1-4471-5102-9

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Chapter history

  1. Latest

    Mathematical Models of Ships and Underwater Vehicles
    Published:
    04 April 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_121-2

  2. Original

    Mathematical Models of Ships and Underwater Vehicles
    Published:
    16 October 2013

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_121-1