Solution for trajectory correction optimization based on generalized work principle

A optimization control method based on generalized work minimum principle is presented to solve the optimization control problems in trajectory correction projectiles. The optimal control problem is addressed through an optimization control strategy with the aim of the smallest undershoot and the minimum energy. On the condition of fixed starting point and fixed terminal point, optimal solutions are obtained and a simulating example is demonstrated. The simulation results show that the trajectory correction optimal values can control the trajectory correction projectiles through trajectory correction actuator to hit the target with the smallest undershoot and the minimum energy. The results are rather satisfactory, which shows that optimization control method has excellent performance of optimization and may be taken as a practical algorithm for design of the trajectory correction actuator.