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TECHNICAL PAPERS

Robust Stabilization of Large Amplitude Ship Rolling in Beam Seas

[+] Author and Article Information
Shyh-Leh Chen

Department of Mechanical Engineering, National Chung-Cheng University, Chia-Yi 621, Taiwan

Steven W. Shaw

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824

Hassan K. Khalil

Department of Electrical Engineering, Michigan State University, East Lansing, MI 48824

Armin W. Troesch

Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109

J. Dyn. Sys., Meas., Control 122(1), 108-113 (Feb 24, 1997) (6 pages) doi:10.1115/1.482434 History: Received February 24, 1997
Copyright © 2000 by ASME
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References

Bennett, S., 1991, “Ship Stabilization: History,” Concise Encyclopedia of Traffic and Transportation Systems, M. Papageorgiou, ed., Pergamon, New York, NY, pp. 454–459.
Lewis, E. V., 1989, Principles of Naval Architecture, 2nd ed., SNAME, NJ.
Chadwick,  J. H., 1955, “On the Stabilization of Roll,” SNAME Trans., 63, pp. 234–280.
Fortuna,  L., and Muscato,  G., 1996, “A Roll Stabilization System for a Monohull Ship: Modeling, Identification, and Adaptive Control,” IEEE Trans. Control Systems Technol., 4, pp. 18–28.
Fossen, T. I., 1995, Guidance and Control of Ocean Vehicles, Wiley, New York, NY.
van Amerongen, J., 1991, “Ship rudder roll stabilization,” Concise Encyclopedia of Traffic and Transportation Systems, M. Papageorgiou, ed., Pergamon, New York, NY, pp. 448–454.
Chen, Shyh-Leh, 1996, Modeling, Dynamics and Control of Large Amplitude Motions of Vessels in Beam Seas, Department of Mechanical Engineering, Michigan State University, East Lansing, MI.
Hsieh,  S. R., Shaw,  S. W., and Troesch,  A. W., 1994, “A Nonlinear Probabilistic Method for Predicting Vessel Capsizing in Random Beam Seas,” Proc. R. Soc. London, Ser. A, 446, pp. 195–211.
Khalil, Hassan K., 1996, Nonlinear Systems, 2nd ed., Prentice-Hall, Upper Saddle River, NJ.
Chen,  Shyh-Leh, Shaw,  Steven, W., and Troesch,  Armin W., 1999, “A Systematic Approach to Modeling Nonlinear Multi-DOF Ship Motions in Regular Seas,” J. Ship Res., 43, pp. 25–37.
Kokotovic, Petar V., Khalil, Hassan K., and O’Reilly, J., 1986, Singular Perturbations Methods in Control: Analysis and Design, Academic, New York, NY.
Kristic, M., Kanellakopoulos, I., and Kokotovic, P., 1995, Nonlinear and Adaptive Control Design, Wiley-Interscience, New York, NY.

Figures

Grahic Jump Location
The unperturbed system in the roll manifold
Grahic Jump Location
The active antiroll tanks
Grahic Jump Location
The domain of interest and the ultimate bound
Grahic Jump Location
Roll dynamics without parameter variations under different controllers: nonlinear feedback (solid), linear feedback (dash–dot), and open loop (dashed)
Grahic Jump Location
Roll dynamics with parameter variations under different controllers: nonlinear feedback (solid), linear feedback (dash–dot), and open loop (dashed)

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