Minimum Time-to-Climb of a Supersonic Aircraft Optimal Control Problem

The minimum time-to-climb of a supersonic aircraft optimal control problem is stated as follows. Minimize the cost functional

eqn6113

subject to the dynamic constraints

eqn6113

and the boundary conditions

eqn6113

The solution to the minimum time-to-climb of a supersonic aircraft optimal control problem using GPOPS-II is shown in the figures below.

minimumTimeToClimbAltitudeminimumTimeToClimbAltitudevsSpeedminimumTimeToClimbFlightPathAngleminimumTimeToClimbMassminimumTimeToClimbAngleofAttackminimumTimeToClimbMeshRefinement










Image Courtesy of the United State Air Force. URL: http://www.af.mil/shared/media/photodb/photos/110408-F-HA566-582.JPG. Used with Permission.