2-D and 3-D Minimum-Time-to-Turn Flights by Parameter Optimization

Abstract

Several two and three-dimensional minimum-time-to-turn problems for a jet fighter are solved using sequential quadratic programming. The original optimal control problem is transformed into a constrained parameter optimization problem by discretizing the vector of control functions into an appropriate number of control points. A complete point-mass aircraft dynamic model is used. Numerical results indicate that the choice of the control constraints influences significantly the form of the optimal control. Also, it appears that initially losing altitude as opposed to gaining altitude is a key feature in the three-dimensional turn for the range of final energies investigated. Comparisons between twoand three-dimensional optimal turning flights are given for an early version of the F-4 fighter aircraft.