摘要
将导弹的突防-拦截问题简化到某一平面上,基于此问题的非线性模型,确定了以突防导弹侧向机动为输入,拦截导弹脱靶量为输出的非线性状态方程。针对所研究问题的最优控制类型,构造了系统的Hamilton函数,并通过极大值原理,研究了在平面内导弹机动能力一定的情况下最优规避机动方式。对于简化后的系统线性模型,以机动方式的基波分量为输入,用伴随系统分析方法,通过拦截导弹脱靶量的稳态解,计算了最优的机动频率。
On the basis of nonlinear model of missile penetration-interception in one plane, nonlinear states equations are presented, in which the penetrative missile maneuver and the miss distance of penetrative one are given as input and output respectively. Hamilton function is supposed to this certain optimal control question, and the optimal evasive maneuver scheme is studied by the theory of maximum. Using the sinusoidal input, the steady-state miss distance is researched by analyzing the adjoint system of simplified linear model, and the optimal evasive maneuver frequency of is obtained.
出处
《火力与指挥控制》
CSCD
北大核心
2009年第4期30-32,共3页
Fire Control & Command Control
基金
国家自然科学基金资助项目(50275146)
关键词
突防-拦截
最优规避
极大值原理
伴随系统
penetration-interception,optimal evasion,theory of maximum,adjoint system
