Research on trajectory controlled optimization for trajectory correction fuze using maximum principle

An optimum model of trajectory control based on aerodynamics and the optimal control theory with the least energy cost was established to command projectile to move along a certain path up to hitting a target by the trajectory correction fuze. The optimum model was solved by maximum principle and in which the initial value problem was solved using Newton iteration procedure. A demonstration illustrates that optimal values of the normal overload obtained from the optimization model can control the projectile up to hitting the target by giving the controlled starting point and the target point. The optimal results provide a theoretical basis for the design of the trajectory correction mechanism.