APPLYING NEWTON ALGORITHMS WITHIN A SUPERVISED FEED FORWARD NEURAL NETWORK ARCHITECTURE TO FORECAST A MISSILE TRAJECTORY | ||||
| International Conference on Aerospace Sciences and Aviation Technology | ||||
| Article 70, Volume 10, 10th International Conference On Aerospace Sciences & Aviation Technology, May 2003, Page 1017-1029 PDF (1.77 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/asat.2013.24724 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| TAREK A. TUTUNJI | ||||
| Assistant Professor, Department of Mechatronics Engineering, University of Philadelphia University, Jordan. | ||||
| Abstract | ||||
| A Neural Network is trained to forecast a moving trajectory. The neural network training is formulated as a nonlinear programming problem and a Newton method is used to find the optimal weights. The learning Algorithm is derived using a Recursive Prediction Error Method that approximates the inverse of the Hessian. Furthermore, box Constraints are added to the network weights to avoid network paralysis and a constraint nonlinear programming problem is formulated. Logarithmic Barrier methods which are a class of Interior Point Methods are presented. Interior point methods have good convergence properties because the weights move on a center path in the interior of the feasible weight. The logarithmic barrier method is combined with the Newton method to form a Newton-Barrier method. The moving missile trajectory is simulated using differential equations and the proposed algorithm is used to train the network in order to forecast the missile position at any given time. | ||||
| Keywords | ||||
| Neural Networks; Nonlinear Programming; Newton Algorithm; Logarithmic Barrier Method; Interior Point Methods; Recursive Prediction Error Method; Ballistic Missile Trajectory | ||||
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