Parametric behavior of the optimal control solution for collision avoidance in a close proximity encounter

18th World IMACS Congress and MODSIM 2009 - International Congress on Modelling and Simulation: Interfacing Modelling and Simulation with Mathematical and Computational Sciences, Proceedings

Volumn , Issue , 2009, Pages 425-431

  Tarnopolskaya, T ^a   Fulton, N ^a  

^a CSIRO   (Australia)

Author keywords

Analytic solutions; Close proximity; Collision avoidance; Cooperative maneuvers; Mayer problem; Optimal control; Pontryagin Maximum Principle

Indexed keywords

AIR TRAFFIC CONTROL; AIRCRAFT; AIRCRAFT ACCIDENTS; BENCHMARKING; COLLISION AVOIDANCE; CONTROL SYSTEM SYNTHESIS; FLIGHT CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; STRUCTURAL OPTIMIZATION;

AIR TRAFFIC MANAGEMENT; AIRCRAFT ENCOUNTERS; COLLISION AVOIDANCE SYSTEMS; COOPERATIVE COLLISION AVOIDANCE; DIMENSIONAL STATE VECTORS; NON-DIMENSIONAL PARAMETERS; OPTIMAL CONTROL SOLUTION; SYNTHESIS OF OPTIMAL CONTROL;

AIRCRAFT CONTROL;

EID: 85086235342     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (6)

1. Bryson, A.E., Dynamic Optimization, Addison Wesley, California, 1999.
2. Merz, A.W. (1973a), Optimal Aircraft Collision Avoidance, Proc. Joint Automatic Control Conf., Paper 15-3, pp. 449-453.
3. Merz, A.W. (1973b), Optimal Evasive Manoeuvres in Maritime Collision Avoidance, Navigation, 20 (2), 144-152.
4. Pontryagin, L.S., Boltyanski, W.G., Gamkrelidze, R.V., and Mishchenko, E.F., The Mathematical Theory of Optimal Processes, John Wiley & Sons, New York, 1965.
5. Tarnopolskaya, T., and Fulton, N. (2009a), Optimal Cooperative Collision Avoidance Strategy for Coplanar Encounter: Merz's Solution Revisited, Journal of Optimization Theory and Applications, 140(2), 355-375.
6. Tarnopolskaya, T., and Fulton, N. (2009b), Synthesis of optimal control for collision avoidance of aircraft (ships) with unequal turn capabilities, Journal of Optimization Theory and Applications, accepted.