基于最优解析解的机载布撒武器弹道优化

为解决机载布撒武器射程有限，而防空体系的拦截距离则不断增大，投弹载机被击落的风险越来越大的问题，本文建立了机载布撒武器纵向平面内滑翔飞行运动方程，并基于最优控制理论构造了约束布撒武器末端速度和飞行距离的性能指标泛函，然后根据哈密尔顿原理推导了最优滑翔弹道参数的解析形式.通过与直接打靶+SQP算法的数值直接优化方法进行对比分析，验证了本文所研究的解析形式最优弹道参数求解方法具有更高的计算效率和精度. 

Trajectory Optimization for Airborne Dispenser Based on Analytical Solution

The airborne dispenser is an effective air-ground weapon possessing standoff strike ability. However its strike range is very limit, and it has to take higher risk to be intercepted with the range of air defense system increasing, so it is essential to study the theory and application of longest glide trajectory optimization for unpowered airborne dispenser. By using optimal control theory, the optimal glide flight kinematics and dynamics equations in the vertical plane were established to make performance function for final velocity and flight range control, and the analytical result of optimal glide trajectory could be obtained based on Hamilton''s principle. Compared with direct-shooting and SQP, the results show that this analytical-based method can get a optimal trajectory with a higher calculation efficiency and precision.