剩余飞行时间加权的终端约束微分对策制导

摘要

为提高拦截导弹的毁伤效果和机动性能，基于微分对策理论，提出了一种具有碰撞角度约束和剩余飞行时间加权的微分对策制导律。该制导律的推导基于最坏目标机动情形，并不受限于目标是否机动及其具体的机动形式，同时由于采用了剩余飞行时间对控制命令加权，使得拦截导弹峰值加速度提前，从而具有足够的弹道调整时间以降低制导末端的机动性要求。基于非线性系统仿真进行了制导律的验证，结果表明该制导律可以实现近于零值的脱靶量和碰撞角误差，且拦截导弹制导末端的加速度也被大大降低。%Based on the differential game theory, a time to go weighted differential game guidance law with impact angle constraints is presented for improvement of the warhead lethality and maneuvering performance of interception missiles. The derivation of this guidance law considers the worst case target maneuver, so it is not limited to a specific target’s maneuvering form. It makes an interception missile have enough time to adjust its trajectory to reduce the guidance terminal’s need for the maneuverability because it uses the time to go weighting for the controlling command to advance the peak acceleration of the interception missile. The nonlinear system simulations were carried out and the results showed that the guidance law exhibited its excellent performance by providing a near zero miss distance and an impact angle error, and reduced the terminal accelerations of the missile greatly.