Title :
Aircraft conflict prediction and resolution using Brownian motion
Author :
Hu, Jianghai ; Lygeros, John ; Prandini, Maria ; Sastry, Shankar
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
The probability of conflict between two aircraft is calculated by modeling aircraft motion as a deterministic trajectory plus a (scaled) Brownian motion perturbation. In this formalism, the probability of conflict becomes the probability that a Brownian motion escapes from a time-varying safe region. Approximate expressions for the probability of conflict are obtained in closed form for both the finite and infinite horizon cases. Based on these expressions, an autonomous algorithm is proposed for decentralized conflict resolution. The algorithm generalizes potential field ideas to path planning in a highly dynamic environment
Keywords :
Brownian motion; air traffic control; aircraft; path planning; perturbation techniques; probability; Brownian motion; air traffic management; aircraft conflict prediction; aircraft conflict resolution; aircraft motion modeling; decentralized conflict resolution; deterministic trajectory; finite horizon case; infinite horizon case; path planning; perturbation; probability; time-varying safe region; Aircraft propulsion; Airports; Brownian motion; Centralized control; Decision making; Environmental management; Infinite horizon; Path planning; Technology management; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831291
