A Neuro-Dynamic Based Conflict Resolution Scheme for Air Traffic Management

The aim of this paper is to study a numerical solution for the 2-D conflict resolution problem in air traffic management (ATM). This numerical solution is achieved using nonlinear programming and neural-networks. We use a set of optimal solutions obtained by nonlinear programming in order to train the neural network. We validated our methods with simulations and we compared the optimal and suboptimal solutions for the same scenario

[1]  Michael S. Nolan,et al.  Fundamentals of Air Traffic Control , 1990 .

[2]  Anil V. Rao,et al.  Practical Methods for Optimal Control Using Nonlinear Programming , 1987 .

[3]  Dimos V. Dimarogonas,et al.  Decentralized feedback stabilization of multiple nonholonomic agents , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[4]  Shih-Ping Han A globally convergent method for nonlinear programming , 1975 .

[5]  V. A. M. Hunt,et al.  The Future of Air Traffic Control , 1961, The Journal of the Royal Aeronautical Society.

[6]  Heinz Erzberger,et al.  Conflict Probability Estimation for Free Flight , 1997 .

[7]  Christopher D. Wickens,et al.  Flight to the Future: Human Factors in Air Traffic Control Edited by Christopher D. Wickens, Anne S. Mavor, & James P. McGee 1997, 368 pages, $44.95. Washington, DC: National Academy Press ISBN 0-309-05637-3 , 1997 .

[8]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[9]  John Lygeros,et al.  A probabilistic approach to aircraft conflict detection , 2000, IEEE Trans. Intell. Transp. Syst..

[10]  John N. Tsitsiklis,et al.  Neuro-Dynamic Programming , 1996, Encyclopedia of Machine Learning.

[11]  James K. Kuchar,et al.  A review of conflict detection and resolution modeling methods , 2000, IEEE Trans. Intell. Transp. Syst..

[12]  Christopher D. Wickens,et al.  The Future of Air Traffic Control: Human Operators and Automation , 1998 .

[13]  Philip E. Gill,et al.  Practical optimization , 1981 .

[14]  Dimos V. Dimarogonas,et al.  Distributed Control and Stochastic Analysis of Hybrid Systems Supporting Safety Critical Real-Time Systems Design , 2003 .

[15]  S. Shankar Sastry,et al.  OPTIMAL COORDINATED MANEUVERS FOR THREE DIMENSIONAL AIRCRAFT CONFLICT RESOLUTION , 2001 .

[16]  Dimos V. Dimarogonas,et al.  Decentralized motion control of multiple holonomic agents under input constraints , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[17]  S. Shankar Sastry,et al.  Conflict resolution for air traffic management: a study in multiagent hybrid systems , 1998, IEEE Trans. Autom. Control..