**Page description appears here**

“State-space representation of radiation forces in time-domain vessel models”

Authors: Erlend Kristiansen, Åsmund Hjulstad and Olav Egeland,
Affiliation: NTNU, Centre for Ships and Ocean Structures and NTNU, Department of Engineering Cybernetics
Reference: 2006, Vol 27, No 1, pp. 23-41.

     Valid XHTML 1.0 Strict

Keywords: State-space realization, Frequency-dependent characteristics, Time-domain, Convolution integral, Discretization

Abstract: The paper presents a method for generating a new and efficient time-domain formulation of the equations of motion for a vessel with frequency-dependent hydrodynamic coefficients. Previous work on this topic has relied on the use of convolution terms, whereas in this work state-space models are used. This leads to a model formulation that is well suited for controller design and simulation.

PDF PDF (1842 Kb)        DOI: 10.4173/mic.2006.1.2

DOI forward links to this article:
  [1] Jingjin Xie and Lei Zuo (2013), doi:10.1007/s40435-013-0025-x
  [2] Frank Lemmer (né Sandner), Steffen Raach, David Schlipf and Po Wen Cheng (2016), doi:10.1016/j.egypro.2016.09.186
  [3] E. van Groesen and Andonowati (2016), doi:10.1016/j.apm.2016.10.018
  [4] (2018), doi:10.3390/en11010169

[1] ANTOULAS, A. SØRENSEN, D. (2001). Approximation of large-scale dynamical systems: an overview, Presented at MTNS, Perpignan, June 19-23.
[2] CUMMINS, W. (1962). The impulse response function and ship motions, Schiffstechnik, 101-109.
[3] EGELAND, O. GRAVDAHL, J. (2002). Modeling and simulation for automatic control, Marine Cybernetics.
[4] FOSSEN, T. (1994). Guidance and control of ocean vehicles, Wiley, New York.
[5] GUGERCIN, S. ANTOULAS, A. (2000). A comparative study of 7 algorithms for model reduction, Proceedings of the 39th IEEE Conference on Decision and Control 2000; pp. 2367-2372.
[6] KRISTIANSEN, E. EGELAND, O. (2003). Frequency-dependent added mass in models for controller design for wave motion damping, Sixth IFAC Conference on Manoeuvering and Control of Marine Craft; pp. 90-95.
[7] KUNG, S. (1978). A new identification and model reduction algorithm via singular value decompositions, Proceedings of 12th Asimolar Conference on Circuits, Systems and Computers; pp. 705-714.
[8] LOZANO, R., BROGLIATO, B., EGELAND, O. MASCHKE, B.I. (2000). Dissipative Systems Analysis and Control, Springer, London.
[9] NEWMAN, J. (1977). Marine Hydrodynamics, MIT Press, Cambridge, MA.
[10] NEWMAN, J. LEE, C.H. (2004). WAMIT User Manual, WAMIT Inc, www.damit.com/manual.htm.
[11] OGILVIE, T. (1964). Recent progress toward the understanding and prediction of ship motions, The Fifth Symposium on Naval Hydrodynamics, pp. 3-128.
[12] SAFONOV, M. CHIANG, R. (1989). A Schur method for balanced model reduction, IEEE Transactions on Automatic Control AC-34.7, 729-733 doi:10.1109/9.29399
[13] YU, Z. FALNES, J. (1988). State-space modelling of dynamic systems in ocean engineering, Journal of Hydrodynamics, 1-17.
[14] YU, Z. FALNES, J. (1995). State-space modelling of a vertical cylinder in heave, Applied Ocean Research 17 (5), 265-275 doi:10.1016/0141-1187(96)00002-8

  title={{State-space representation of radiation forces in time-domain vessel models}},
  author={Kristiansen, Erlend and Hjulstad, Åsmund and Egeland, Olav},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


May 2016: MIC reaches 2000 DOI Forward Links. The first 1000 took 34 years, the next 1000 took 2.5 years.

July 2015: MIC's new impact factor is now 0.778. The number of papers published in 2014 was 21 compared to 15 in 2013, which partially explains the small decrease in impact factor.

Aug 2014: For the 3rd year in a row MIC's impact factor increases. It is now 0.826.

Dec 2013: New database-driven web-design enabling extended statistics. Article number 500 is published and MIC reaches 1000 DOI Forward Links.

Jan 2012: Follow MIC on your smartphone by using the RSS feed.


July 2011: MIC passes 1000 ISI Web of Science citations.

Mar 2010: MIC is now indexed by DOAJ and has received the Sparc Seal seal for open access journals.

Dec 2009: A MIC group is created at LinkedIn and Twitter.

Oct 2009: MIC is now fully updated in ISI Web of Knowledge.