基于常微分方程的制导系统运用  

Application of Guidance System based on Ordinary Differential Equation

作　　者：宿建平[1] 刘龙权[1] 

机构地区：[1]东北大学秦皇岛分校数学与统计学院,河北秦皇岛066004

出　　处：《中国西部科技》2015年第12期85-88,共4页Science and Technology of West China

摘　　要：本文利用常微分方程,建立ESR模型,构造临界函数得到导弹有效打击的临界曲面,进而得到导弹的有效打击范围。建立STP模型,采用Euler法计算导弹运动的水平、竖直位移,并利用相轨线法得到其飞行轨迹,据此估计导弹击中目标的位置。将模型求解结果应用于导弹制导系统,用来判断发现目标时导弹是否应该立即发射并追击目标。By using ordinary differential equation, we established an ESR model to construct critical function, from which the critical curve of missile＇s effective attack range was obtained. We also established a STP model to calculate the horizontal and vertical displacement of missile by Eulerian numerical solution, and use phase trajectories method to get missile flight path which can estimate the hit point. The results can be applied to missile＇s guidance system to iudge whether it should launch or not.

关 键 词：常微分方程 制导系统 临界函数 EULER法 相轨线 

分 类 号：O175.1[理学—数学]