Range Maximization of an Air-to-Surface Missile
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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Pontryagins Maximum Principle, coupled with the conjugate gradient iterative technique, is employed in determining estimates of the two- dimensional, maximum range trajectory of an air-to-surface missile. Angle of attack is used as the control parameter. The motion of the vehicle is described by four state equations including standard atmospheric data, and lift and drag data obtained from wind tunnel tests. In the adjoint equations Lagrangian differentiation formulas are used to approximate the derivatives of lift and drag with respect to velocity and altitude. Two quadratic cost functions are investigated -- one involving a linear range term and the other a quadratic term. Both include a quadratic penalty function involving a weighting function and the square of the control.
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