An Improved Optimization Algorithm Combined Model Parameterization and Sequential Quadratic Programming

摘要

According to the nonlinear problem of the trajectory optimization problem of rocket projectile, an improved optimization algorithm combined the direct model parameterization method and the sequential quadratic programming method was proposed. The direct numerical method was presented to converts the infinite dimensional optimization problem into a finite dimensional nonlinear programming problem. The improved sequential quadratic programming algorithm was derived by making a special treatment on the constraint conditions. Taking the range as the independent variable instead of the time, and taking the maximum range trajectory and the shortest f time trajectory as the function of the performance index respectively, the trajectory optimization model was presented, and the numerical simulations were carried out. The results show that the proposed algorithm is effective to solve the trajectory optimization problem.