Dynamic interpolation for linear systems [air traffic control]

The authors set out to apply dynamic interpolation to a single-input single-output time-invariant linear system. Optimization of a quadratic cost function is embedded in the method to provide minimization of control effort. These results are applied to the guidance of a linearized aircraft model through a set of 4-D waypoints on final approach into an airport. In a practical implementation of this method, the interaction of an on-board flight management computer and the microwave landing system can be directed to generate smooth steering commands to either the pilot or autopilot. Actuation of such commands would result in a curved path trajectory through the desired waypoints. The proposed configuration was intended to increase air traffic control efficiency by expanding the usage of the controlled airspace of the facility, resulting in reduced congestion at many major airports