Abstract
This paper discusses Three Dimensional (3D; 2D in space and 1D in time) trajectories synthesis algorithms for future air traffic control automation. In order to prepare the computerized air traffic automation systems that assist human controller, highly complicated time optimal problem should be investigated in non-linear control systems. First, synthesis of the plural trajectories with constant speed is discussed aiming to substitute for human controller that plans simultaneously trajectories of eight aircraft at most. Second, synthesis of the plural trajectories with variable speed for eight aircraft is discussed.
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