This paper describes the formulation and numerical investigation of a variable load factor guidance algorithm (variable n-guidance) that allows an aircraft pilot to approximate minimum-time low-altitude quasi-level fl...
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This paper describes the formulation and numerical investigation of a variable load factor guidance algorithm (variable n-guidance) that allows an aircraft pilot to approximate minimum-time low-altitude quasi-level fly-to-point maneuvers of a jet fighter aircraft. The maneuvers studied consist of flight to a point at a radial distance of 50 kft from the starting point, with the final position vector oriented at 45, 90, 135, 180 deg from the initial course and with the requirement that the initial and final altitudes be the same. First, the fly-to-point maneuver is optimized from the time viewpoint with respect to three controls (angle of attack, power setting, angle of bank) via the sequential gradient-restoration algorithm. Then, from the study of the optimal trajectories, a variable n-guidance algorithm is developed, connecting the loadfactor to the turn-to-go. This algorithm is implemented via feedback control and tested. For comparison purposes, a constant n-guidance scheme is also tested. The main conclusion is that the variable n-guidance algorithm produces trajectories that approximate closely the optimal trajectories. On the other hand, the constant n-guidance scheme does not approximate well the optimal trajectories.
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