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This paper deals with two topics: roll predictions of marine vessels with machine-learning methods and parameter estimation of unknown ocean disturbances when the amplitude, frequency, offset, and phase are difficult to estimate. This paper aims to prevent the risky roll motions of marine vessels exposed to harsh circumstances. First of all, this study demonstrates complex dynamic phenomena by utilising a bifurcation diagram, Lyapunov exponents, and a Poincare section. Without any observers, an adaptive identification applies these four parameters to the globally exponential convergence using linear second-order filters and parameter estimation errors. Then, a backstepping controller is employed to make an exponential convergence of the state variables to zero. Finally, this work presents the prediction of roll motion using reservoir computing (RC). As a result, the RC process shows good performance for chaotic time series prediction in future states. Thus, the poor predictability of Lyapunov exponents may be overcome to a certain extent, with the help of machine learning. Numerical simulations validate the dynamic behaviour and the efficacy of the proposed scheme.
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Rocznik
Tom
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4--15
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
- Division of Navigation & Information System, Mokpo National Maritime University, Republic of Korea
autor
- Division of Logistics, Korea Maritime and Ocean University, Republic of Korea, kimhsyskmou@gmail.com
autor
- Northeast-Asia Shipping and Port Logistics Research Center, Korea Maritime and Ocean University, Republic of Korea
autor
- R&D Department, Busan Port Authority, Republic of Korea
autor
- Department of Engineering Technology, Gadomski School of Engineering, Christian Brothers University, United States
Bibliografia
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- 2. Y. Tang, J. Kurths, W. Lin, E. Ott, and L. Kocarev, ‘Introduction to Focus Issue: When machine learning meets complex systems: Networks, chaos, and nonlinear dynamics’, Chaos 2020, 30 (6), 063151, DOI: 10.1063/5.0016505.
- 3. H. Jaeger and H. Haas, ‘Harnessing nonlinearity: Predicting chaotic systems and saving energy in wireless communication’, Science 2004, 304 (5667), 78–80, DOI: 10.1126/science.109127.
- 4. Y. LeCun, Y. Bengio, and G. Hinton, ‘Deep learning, Nature 2015, 521, 436–444. https://doi.org/10.1038/nature14539.
- 5. A.A. Ferreira, T.B. Ludermir, and R.R.B. De Aquino,‘An approach to reservoir computing design and training’, Expert Syst. Appl. 2013, 40(10), 4172-4182, DOI: 10.1016/j.eswa.2013.01.029.
- 6. G. Boffetta, M. Cencini, M. Falcioni, and A. Vulpiani, ‘Predictability: A way to characterize complexity’, Phys. Rep. 2002, 356, 367–474, DOI: 10.1016/S0370-1573(01)00025-4.
- 7. S.D. Lee, B.D.H. Phuc, X. Xu, and S.S. You, ‘Roll suppression of marine vessels using adaptive super-twisting sliding mode control synthesis’, Ocean. Eng. 2020, 195, 106724, DOI: 10.1016/j.oceaneng.2019.106724.
- 8. A.A. Pyrkin, A.A. Bobtsov, S.A. Kolyubin and A.A. Vedyakov, ‘Precise frequency estimator for noised periodical signals’, 2012 IEEE International Conference on Control Applications. 2012, 92-97, DOI: 10.1109/ CCA.2012.6402392.
- 9. N. Jing, Y. Juan, W. Jing and G. Yu, ‘Adaptive parameter identification of sinusoidal signals’, 2013 IFAC Conference on Intelligent Control and Automation Science ICONS, 2013, 624-629, DOI: 10.3182/20130902-3-CN-3020.00096.
- 10. M. Hou, ‘Parameter identification of sinusoids’, IEEE Transactions on Automatic Control. 2012, 57(2), 467–472, DOI: 10.1109/TAC.2011.2164736.
- 11. J. Na, J. Yang, X. Wu, and Y. Guo, ‘Robust Adaptive parameter estimation of sinusoidal signals’, Automatica. 2015, 53, 376-384, OI:10.1016/j.automatica.2015.01.019.
- 12. V. Adetola and M. Guay, ‘Performance Improvement in Adaptive Control of Linearly Parameterized Nonlinear Systems’, IEEE Transactions on Automatic Control. 2010, 55(9), 2182-2186, DOI: 10.1109/TAC.2010.2052149.
- 13. S.D. Lee, Y.S. Song, D.H. Kim, and M.R. Kang, ‘Path following control of an underactuated catamaran for recovery maneuvers’, Sensors. 2022, 22, 2233, doi.org/10.3390/s22062233.
- 14. A.A. Pyrkin, ‘Adaptive algorithm to compensate parametrically uncertain biased disturbance of a linear plant with delay in the control channel’, Autom Remote Control. 2010, 71, 1562–1577.
- 15. M. Lukoševičius, ‘A Practical Guide to Applying Echo State Networks. In: Montavon, G., Orr, G.B., Muller, KR. (eds) Neural Networks: Tricks of the Trade. Lecture Notes in Computer Science’, 2012, vol 7700. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35289-8_36.
- 16. S.D. Lee, S.S. You, X. Xu, and T.N. Cuong, ‘Active control synthesis of nonlinear pitch-roll motions for marine vessels’. Ocean Eng. 2021, 221, 108537, DOI: 10.1016/j.oceaneng.2020.108537.
- 17. S. Lynch, ‘Poincare Maps and Nonautonomous Systems in the Plane. In: Dynamical Systems with Applications using MATLABR’, 2014, Birkhauser, Cham, DOI: 10.1007/978-3-319-06820-6_15.
- 18. E. Ott, ‘Chaos in Dynamical Systems (2nd ed.)’, Cambridge: Cambridge University Press. 2002. DOI: 10.1017/CBO9780511803260.
- 19. S. Lynch, ‘Electromagnetic Waves and Optical Resonators. In: Dynamical Systems with Applications using MATLABR’, 2014, Birkhauser, Cham, DOI: 10.1007/978-3-319-06820-6_5.
- 20. K.K. Dey and G.A. Sekh, ‘Effects of Random Excitations on the Dynamical Response of Duffing Systems’, J Stat Phys. 2021, 182, 18, DOI: 10.1007/s10955-020-02694-x.
- 21. B.S. Ahmed, ‘A practical test for noisy chaotic dynamics’, SoftwareX. 2015, 3–4, 1-5, DOI: 10.1016/j.softx.2015.08.002.
- 22. J.J. Bramburger and J. Nathan Kutz, ‘Poincare maps for multiscale physics discovery and nonlinear Floquet theory’, Physica D: Nonlinear Phenomena. 2020, 408,132479, DOI: 10.1016/j.physd.2020.132479.
Typ dokumentu
Bibliografia
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