导弹制导的鲁棒几何方法

Robust geometric approach to missile guidance

中文关键词  微分几何  制导  鲁棒控制

英文关键词  differential geometry  guidance  robust control

中文摘要

      针对平面拦截问题,将基于微分几何的导弹制导与基于李雅普诺夫稳定理论的鲁棒控制方法结合起来,提出一种新的鲁棒制导算法———鲁棒几何制导.将与目标的曲率命令(加速度)和速度方位信息有关的项视为干扰量,用一个鲁棒控制项来克服其影响.然后,将这种方法推广到导弹速度变化的情况.这种方法不需要得到目标精确的曲率命令和速度方位信息.仿真结果验证了该方法对目标机动具有强的鲁棒性.

英文摘要

      The classical differential geometry curve theory and Lyapunov stability theory are combined to create a new robust geometric approach to the missile guidance problem. The term related to the curvature command (acceleration) and velocity relative heading angle of the target is regarded as disturbance and a robust control term is then added to overcome the effect of such disturbance. The proposed guidance algorithm is also extended to the case when the velocity of the missile is varying. The algorithm needs no accurate information on the curvature command and velocity relative heading angle of the target. Simulation results have shown that the proposed guidance algorithm has strong robustness to maneuver the target.