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On the optimal estimation of the lateral position of a ship using yaw-angle measurements

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Summary

The Kalman filter theory has been used to derive a set of difference equations by which the lateral position of a ship relative to the desired (straight) course can be estimated from measured yaw-angle values containing noise. Special attention has been paid to the standard deviation of the estimation error.

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References

  1. R. Deutsch,Estimation Theory, Prentice Hall Inc., London (1965).

    Google Scholar 

  2. J. L. Doob,Stochastic Processes, John Wiley, London (1953).

    Google Scholar 

  3. R. E. Kalman, A new Approach to Linear Filtering and Prediction Problems,J. Basic Eng., (1960) 35–45.

  4. G. van Leeuwen,The Lateral Damping and added Mass of a Horizontally Oscillating Ship Model. Netherlands Research Centre T.N.O. for Ship-building and Navigation, Report No. 65 S, December (1964).

  5. L. A. Zadeh and C. A. Desoer,Linear System Theory, McGraw-Hill, New York (1963).

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  6. J. K. Zuidweg, Information from Laboratorium voor Reken- en Regeltechniek, Koninklijk Instituut voor de Marine, Den Helder, June (1969).

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Author notes

  1. R. P. Van Der Vet

    Present address: Koninkliike/Shell-Laboratorium, Badhuisweg 3, Amsterdam-N., The Netherlands

Authors and Affiliations

  1. Delft University of Technology and Koninklijk Instituut voor de Marine, Den Helder, The Netherlands

    R. P. Van Der Vet

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  1. R. P. Van Der Vet
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Van Der Vet, R.P. On the optimal estimation of the lateral position of a ship using yaw-angle measurements. J Eng Math 7, 279–287 (1973). https://doi.org/10.1007/BF01535289

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  • DOI: https://doi.org/10.1007/BF01535289

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