地空导弹三点法三维运动学弹道建模与仿真

针对三点法三维运动学弹道仿真问题,建立了两种仿真模型.第一种模型采用数值积分算法求解三点法运动学方程组,求解过程较为复杂;第二种模型利用三维空间相关几何知识,将求解三点法三维运动学弹道的图解法转化为求解一元二次方程的问题,使求解过程简单直观.最后,对两种模型进行了仿真,并将其应用到地空导弹制导控制系统的仿真研究中,将理想弹道与控制弹道进行了对比.结果表明,两个模型均解决了一般情形下三点法三维运动学弹道求解的问题,为三点法三维制导律以及弹道特性研究提供了一种方法.

Modeling and simulating on kinematic trajectory of ground-to-air missile controled by three-point method

Two new simulation models are established for the simulation of three-dimensional kinematic trajectory of ground-to-air missile controled by a three-point method.The first model is to solve the equation of the three-point method by integral method,which is complex;The second model translates the geometrical method into a unitary-quadratic equation,which is simple and intuitional.At last,the two models are simulated and applied in the research of the guidance and control sysytem for ground-to-air missile,the ideal trajectory is contrasted with the real one.The results show that both of the models can solve the problem of drawing three-dimensional kinematic trajectory of the three-point method,as a result,three-dimensional guidance-law of the three-point method and characters of the trajectory can be researched easily.