Publication:
Identification of a surface marine vessel using LS-SVM

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2013
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The availability of adequate system models to reproduce, as faithfully as possible, the actual behaviour of the experimental systems is of key importance. In marine systems, the changing environmental conditions and the complexity of the infrastructure needed to carry out experimental tests call for mathematical models for accurate simulations. There exist a wide number of techniques to define mathematical models from experimental data. Support Vector Machines (SVMs) have shown a great performance in pattern recognition and classification research areas having an inherent potential ability for linear and nonlinear system identification. In this paper, this ability is demonstrated through the identification of the Nomoto second-order ship model with real experimental data obtained from a zig-zag manoeuvre made by a scale ship. The mathematical model of the ship is identified using Least Squares Support Vector Machines (LS-SVMs) for regression by analysing the rudder angle, surge and sway speed, and yaw rate. The coefficients of the Nomoto model are obtained with a linear kernel function. The model obtained is validated through experimental tests that illustrate the potential of SVM for system identification.
Description
© 2013. Spanish Ministry of Science and Innovation (MICINN) [DPI2009-14552-C02-02]
Unesco subjects
Keywords
Citation
1. L. Ljung, “Identification of Nonlinear Systems,” in Proceedings of the 9th International Conference on Control, Automation, Robotics and Vision (ICARCV '06), December 2006. 2. L. Ljung, System Identification: Theory for the User, Prentice-Hall, Upper Saddle River, NJ, USA, 1999. 3. J. van Amerongen and A. J. U. T. Cate, “Model reference adaptive autopilots for ships,” Automatica, vol. 11, no. 5, pp. 441–449, 1975. 4. K. J. Aström and C. G. Källström, “Identification of ship steering dynamics,” Automatica, vol. 12, no. 1, pp. 9–22, 1976. 5. C. G. Källström and K. J. Åström, “Experiences of system identification applied to ship steering,” Automatica, vol. 17, no. 1, pp. 187–198, 1981. 6. M. A. Abkowitz, “Measurements of hydrodynamic characteristic from ship maneuvering trials by system identification,” Transactions of the Society of Naval Architects and Marine Engineers, vol. 88, pp. 283–318, 1980. 7. T. I. Fossen, S. I. Sagatun, and A. J. Sørensen, “Identification of dynamically positioned ships,” Modeling, Identification and Control, vol. 17, no. 2, pp. 153–165, 1996. 8. T. Perez, A. J. Sørensen, and M. Blanke, “Marine vessel models in changing operational conditions—a tutorial,” in Proceedings of the 14th IFAC Symposium on System Identification, Newcastle, Australia, 2006. 9. M. Caccia, G. Bruzzone, and R. Bono, “A practical approach to modeling and identification of small autonomous surface craft,” IEEE Journal of Oceanic Engineering, vol. 33, no. 2, pp. 133–145, 2008. 10. T. I. Fossen, Marine Control Systems: Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles, Marine Cybernetics, Trondheim, Norway, 2002. 11. J. M. De La Cruz, J. Aranda, and J. M. Giron, “Automatica Marina: una revision desde el punto de vista de control,” Revista Iberoamericana de Automatica e Informatica Industrial, vol. 9, pp. 205–218, 2012. 12. K. Nomoto, T. Taguchi, K. Honda, and S. Hirano, “On the steering qualities of ships,” Tech. Rep. 4, International Shipbuilding Progress, 1957. 13. K. S. Narendra and K. Parthasarathy, “Identification and control of dynamical systems using neural networks,” IEEE Transactions on Neural Networks, vol. 1, no. 1, pp. 4–27, 1990. 14. M. R. Haddara and Y. Wang, “Parametric identification of manoeuvring models for ships,” International Shipbuilding Progress, vol. 46, no. 445, pp. 5–27, 1999. 15. M. R. Haddara and J. Xu, “On the identification of ship coupled heave-pitch motions using neural networks,” Ocean Engineering, vol. 26, no. 5, pp. 381–400, 1999. 16. K. Hornik, M. Stinchcombe, and H. White, “Multilayer feedforward networks are universal approximators,” Neural Networks, vol. 2, no. 5, pp. 359–366, 1989. 17. A. B. Mahfouz, “Identification of the nonlinear ship rolling motion equation using the measured response at sea,” Ocean Engineering, vol. 31, no. 17-18, pp. 2139–2156, 2004. 18. V. Vapnik and Z. Chervonenkis, “On the uniform convergence of relative frequencies of events to their probabilities,” Doklady Akademii Nauk USS, vol. 4, no. 181, 1968. 19. M. A. Aĭzerman, È. M. Braverman, and L. I. Rozonoèr, “A probabilistic problem on automata learning by pattern recognition and the method of potential functions, ”Automation and Remote Control, vol. 25, pp. 821–837, 1964. 20. B. Scholkopf and A. J. Smola, Learning With Kernels, MIT Press, Cambridge, Mass, USA, 2002. 21. V. N. Vapnik, Statistical Learning Theory, John Wiley & Sons, New York, NY, USA, 1998. 22. A. J. Smola and B. Schölkopf, “A tutorial on support vector regression,” Statistics and Computing, vol. 14, no. 3, pp. 199–222, 2004. 23. P. M. L. Drezet and R. F. Harrison, “Support vector machines for system identification,” in Proceedings of the 1998 International Conference on Control, pp. 688–692, September 1998. 24. S. Adachi and T. Ogawa, “A new system identification method based on support vector machines,” in Proceedings of the IFAC Workshop Adaptation and Learning in Control and Signal Processing, Cernobbio-Como, Italy, 2001. 25. G. T. Jemwa and C. Aldrich, “Non-linear system identification of an autocatalytic reactor using least squares support vector machines,” The Journal of The South African Institute of Mining and Metallurgy, vol. 103, no. 2, pp. 119–125, 2003. 26. W. Zhong, D. Pi, and Y. Sun, “SVM based non parametric model identification and dynamic model control,” in Proceedings of the 1rst International Conference on Natural Computation (ICNC '05), vol. 3610 of Lecture Notes in Computer Science, pp. 706–709, 2005. 27. V. Verdult, J. A. K. Suykens, J. Boets, I. Goethals, and B. de Moor, “Least squares support vector machines for kernel CCA in non-linear state-space identification,” in Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS '04), Leuven, Belgium, July 2004. 28. W. Zhong, H. Ge, and F. Qian, “Model identification and control for nonlinear discrete-time systems with time delay: a support vector machine approach,” in Proceedings of the International Conference on Intelligent Systems and Knowledge Engineering (ISKE '07), Chengdu, China, October 2007. 29. S. Tötterman and H. T. Toivonen, “Support vector method for identification of Wiener models,” Journal of Process Control, vol. 19, no. 7, pp. 1174–1181, 2009. 30. J. A. K. Suykens, T. van Geste, J. de Brabanter, B. de Moor, and J. Vandewalle, Least Squares Support Vector Machines, World Scientific, Singapore, 2002. 31. X. D. Wang and M. Y. Ye, “Nonlinear dynamic system identification using least squares support vector machine regression,” in Proceedings of the 2004 International Conference on Machine Learning and Cybernetics, pp.941–945, Shanghai, China, August 2004. 32. I. Goethals, K. Pelckmans, J. A. K. Suykens, and B. De Moor, “Identification of MIMO Hammerstein models using least squares support vector machines,” Automatica, vol. 41, no. 7, pp. 1263–1272, 2005. 33. Z. Yu and Y. Cai, “Least squares wavelet support vector machines for nonlinear system identification,” in Advances in Neural Networks (ISNN '05), vol. 3497 of Lecture Notes in Computer Science, pp. 436–441, 2005. 34. L. Wang, H. Lai, and T. Zhang, “An improved algorithm on least squares support vector machines,” Information Technology Journal, vol. 7, no. 2, pp. 370–373, 2008. 35. W. L. Luo and Z. J. Zou, “Parametric identification of ship maneuvering models by using support vector machines,” Journal of Ship Research, vol. 53, no. 1, pp. 19–30, 2009. 36. X. G. Zhang and Z. J. Zou, “Identification of Abkowitz model for ship manoeuvring motion using ε-support vector regression,” Journal of Hydrodynamics, vol. 23, no. 3, pp. 353–360, 2011. 37. J. Mercer, “Functions of positive and negative type and their connection with the theory of integral equations, ”Philosophical Transactions of the Royal Society A, vol. 209, pp. 415–446, 1909. 38. M. A. Abkowitz, “Lectures on ship hydrodynamics steering and manoeuvrability,” Tech. Rep. Hy-5, Hydro and Aerodynamics Laboratory, Lyngby, Denmark, 1964. 39. K. S. M. Davidson and L. I. Schiff, “Turning and course keeping qualities,” Transactions of SNAME, vol. 54, pp. 189–190, 1946. 40. Matlab Help Files, 2012, Cambridge Mass, USA.
Collections