Optimal guidance law design for impact with terminal angle of attack constraint

According to the requirements of the precision guidance of air-to-surface weapons with multiple constraints, a new optimal guidance law applying to attack the ground stationary target is designed. On the basis of dividing the 3D movement of the weapon into the movements of diving plane and turning plane, the relative motion of weapon-target is established first. Considering the conditions of miss distance, impact angle and terminal angle of attack, the general formulation of a new guidance law with an arbitrary system order is deduced by solving the Riccati equation of the quadratic optimal control. The approximate expressions of lag free system and first-order lag system are given. The validity of the optimal guidance law is verified by the comparable simulations of the characteristic trajectory. The simulation results shows that the optimal guidance laws satisfy the precision guidance with impact angle constraint as well as the angle of attack converges to zero at final time, which is important for warhead effect.