【摘要】 在导弹平面拦截模型中,导弹和目标相对位置存在一初始捕获集,使得满足此集合的导弹,不管目标如何机动,总可以在有限时间内击中目标。假设导弹和目标仅为线速度机动,在相对坐标系下建立了导弹追击目标运动学模型,针对该拦截模型定义一类最优问题,代价函数满足终端时刻导弹命中目标条件。运用最优控制理论,在保守条件下,从冲突目标集边缘逆推得到初始捕获集。从而使得由该集合限定初始位置出发的导弹,在存在目标机动的不确定因素下,最迟于设定时刻命中目标。更多还原

【Abstract】 In missile planar intercepting model,there should be an initial capturing set by which the target can be shot in finite time regardless of target maneuver.Suppose only linear velocity action is allowed,the kinematical model based on missile pursuing object problem is formulated,accordingly a type of optimal problem is formulated.The cost function fulfills final condition that missile would reach the target at final time.Then optimization method is utilized,under conservative condition,to get initial state set from conflict final set edge by inversely evolution.Missile launching from initial position constrained by this set can hit the target in limited period in the presence of uncertainties of target maneuver.更多还原