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Mathematical Models of Ships and Underwater Vehicles

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, Dept. of Eng. Cybernetics, Norwegian Univ. of Sci. and Techn, 1991; 1994, Guidance and control of ocean vehicles. Wiley, Chichester; 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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© 2013 Springer-Verlag London

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Fossen, T.I. (2013). 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_121-1

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

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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