Minimum-Time Roll Around the Velocity-Vector Maneuver of Aircraft

In this paper, some results are provided for minimum time roll about velocity vector maneuvering with thrust-vectoring and aerodynamic control in effect. The mathematical model for attitude motions of the aircraft is developed. First order necessary conditions for optimality using Pontryagen principle is applied, and the existence of an extreme family of solutions for the maneuver is shown. Multiple shooting method is used to obtain the numerical results. An estimate of maneuver time reduction resulting from thrust-vectoring is obtained. Keywords: Multiple Shooting Method Minimum time Thrust-Vectoring Maneuverability Aerodynamics