SINGULAR PERTURBATION TRAJECTORY OPTIMIZATION OF SUPERSONIC TRANSPORTS
Mark D.Ardema and Robert Windhorst
Singular perturbation methods are used to time-scale decouple the equations of motion of supersonic
transport aircraft. This allows optimal trajectories to be obtained by solving a sequence of ordinary function
optimizations, thereby avoiding the usual two-point-boundary-value problem associated with the necessary
conditions for optimal control. A weighted sum of time and fuel consumption is used as the optimality criteria
(cost functional). Numerical results are presented for a contemporary supersonic transport design.
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