A computational approach to conflict detection problems for airtraffic control
Jinglai Shen; McClamroch, N.H.; Gilbert, E.G.
American Control Conference, 1999. Proceedings of the 1999
Volume 2, Issue , 2-4 Jun 1999 Page(s):1445 - 1449 vol.2
Digital Object Identifier 10.1109/ACC.1999.783608
Summary:Formulates a conflict detection problem for two aircraft
performing general flight maneuvers. The key ingredient is the
development of probabilistic models for flight control errors that arise
due to wind, navigational uncertainties, flight control errors and
intent. It is assumed that each aircraft is performing a trimmed flight
maneuver. Assumptions are made so that the relative position errors are
characterized by a Chi-square distribution. The relative position errors
of the aircraft are described by an ellipsoid that translates, rotates,
and changes shape and size. The conflict detection problem is formulated
in terms of suitable separation measures of this ellipsoid and an
ellipsoid that defines a protected zone. A separation measure is
introduced that provides an upper bound for the conflict probability. A
simple and numerically efficient algorithm is given so that quantitative
measures of the aircraft separation can be efficiently computed
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