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http://dx.doi.org/10.6109/jkiice.2013.17.1.117

Minimum-Time Trajectory Control of Ships Using Neural Networks  

Choi, Young-Kiu (부산대학교 공과대학 전기공학과)
Park, Jin-Hyun (경남과학기술대학교 메카트로닉스공학과)
Abstract
A ship is intended to reach a specified target point in the minimum-time when it travels with a constant speed through a region of strong currents and its heading angle is the control variable. This is called the Zermelo's navigation problem. Its approximate solution for the minimum-time control may be found using the calculus of variation. However, the accuracy of its approximate solution is not high since the solution is based on a table form of inverse relations for some complicated nonlinear equations. To enhance the accuracy, this paper employs the neural network to represent the inverse relation of the complicated nonlinear equations. The accurate minimum-time control is possible with the interpolation property of the neural network. Through the computer simulation study we have found that the proposed method is superior to the conventional ones.
Keywords
Zermelo navigation problem; minimum-time control; neural network;
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  • Reference
1 T. I. Fossen, Guidance and Control of Ocean Vehicles, England: John Wiley & Sons Inc., 1994.
2 A. E. Bryson, Dynamic Optimization, Addison Wesley Longman Inc., 1999.
3 F. L. Lewis and V. L. Syrmos,Optimal Control: 2nd Ed, John Wiley & Sons Inc., 1995.
4 K. Ohtsu, K. Shioji and T. Okazaki, "Minimum-time maneuvering of a ship with wind disturbances,"Control Engineering Practice, vol. 4, no. 3, pp. 385-392, 1996.   DOI   ScienceOn
5 A. Enes and W. Book, "Blended shared control of Zermelo's navigation problem," Proc. of American Control Conference, pp. 4307-4312, June 30, 2010.
6 A. E. Bryson and Y. C. Ho, Applied Optimal Control, New York: Hemisphere 1975.
7 D. Bao, C. Robles and Z. Shen, "Zermelo navigation on Riemannian manifolds," Journal of Differential Geometry, vol. 66, pp. 377-435, 2004.   DOI
8 E. Bakolas and P. Tsiotras, "Time-optimal synthesis for the Zermelo-Markov-Dubins problem: the constant wind case," Proc. of American Control Conference, pp. 6163-6168, June 30, 2010.
9 Vojislav Kecman, Learning and Soft Computing, The MIT Press, Cambridge, MA, 2001.