Browse > Article
http://dx.doi.org/10.6109/jkiice.2014.18.4.818

Optimal Control using Neural Networks for Brachistochrone Problem  

Park, Jin-Hyun (Dept. of Mechatronics Eng., Kyeognam National University of Science and Technology)
Choi, Young-Kiu (Department of Electrical Engineering, Pusan National University)
Abstract
The solution of brachistochrone problem turned out the form of a cycloid but correct angle values of bead can be obtained from the table form of inverse relations for the 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. For various final target points, we have found that the proposed method is superior to the conventional ones through the computer simulations.
Keywords
Brachistochrone problem; neural network;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 L. Elsgoltz, Differential Equations and Variational Calculus, Mir, Moscow, 1983.
2 D.E. Kirk, Optimal Control Theory: An Introduction, Prentice-Hall, Inc., 2004.
3 Wang and Jun, Advances in neural Networks-ISNN2006, Springer, 2006.
4 Fine and Terrence, Feedforward Neural Network Methodology, Springer-Verlag, 1999.
5 Vojislav Kecman, Learning and Soft Computing, The MIT Press, Cambridge, MA, 2001.
6 Young-Kiu Choi and Jin-Hyun Park, "Brachistochrone Minimum-Time Trajectory Control Using Neural Networks," J. Korea Inst. Info.Ccom. Eng., vol. 17, no. 12, pp 2775-2784, 2013.   과학기술학회마을   DOI   ScienceOn
7 Young-Kiu Choi and Jin-Hyun Park, "Minimum-Time Trajectory Control of Ships Using Neural Networks," J. Korea Inst. Info.Ccom. Eng., vol. 17, no. 1, pp 117-126, 2013.   과학기술학회마을   DOI   ScienceOn
8 Frank L. Lewis and Vassilis L. Syrmos, Optimal Control: 3rd Ed, John Wiley & Sons, Inc., 2012