基于样条曲线的机动弹头再入轨迹优化研究

Study of Reentry Trajectory Optimization of Maneuverable Warhead Based on Spline Curve

使用三次样条函数拟合再入飞行器纵向运动轨迹,以样条曲线上的控制节点为优化参数,将再入轨迹优化问题转化为静态参数优化问题。最后以纵向平面内的最优轨迹为例,以终点速度最大和飞行时间最短为优化目标,采用基于Pareto定级排序遗传算法求解了在末端状态受约束的最优再入轨迹问题,验证了该方法的有效性。

Using cubic spline curve to fit the vehicle＇ s longitudinal trajectory, the spline curve＇ s control knots was used as optimizing parameters, and the reentry trajectory optimization problem was transformed into a static parameters optimization. The optimal longitudinal trajectory was given to prove the availability of the method. The Pareto genetic algorithm was used to solve the reentry trajectory optimization problem with the constraints of terminal states and with the objectives of maximum velocity and minimum time. The simulation demonstrates it＇ s validity.