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Mathematical Models of Ships and Underwater Vehicles

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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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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