导弹最优制导律弹道仿真分析

Missile Trajectory Simulation and Analysis Based on Optimal Guidance Law

根据导弹仿真数据,绘制可直观显示弹道特性的理想弹道曲线。给出了比例导引法的差分方程,建立了比例导引法的三维弹道仿真模型。在对比例导引法进行三维弹道仿真的基础上,分别对增量比例导引、基于二次型的最优制导律和考虑动态特性的二次型最优制导律进行了三维弹道仿真,绘制出了可直观显示弹道特性的理想弹道,计算了导弹与目标的遭遇时间,并对结果进行了比较分析。最后得出考虑弹体动态特性的二次型最优制导律具有最优性。

The aim of this paper is to draw the missile ideal trajectory curves which can show trajectory characteristic visually according to missile simulation data. The difference equation of proportion guide （PN） method is given and the 3-D trajectory simulation model is built. Based on the trajectory simulation of PN, the 3-D trajectory of increment proportional guide, the quadratic optimal guidance law and the quadratic optimal guidance law considering dynamic characteristics are simulated respectively. The visual trajectory curves are protracted and the encounter time of missile and target is calculated. At last the comparison and analysis of the simulation results indicate that the quadratic optimal guidance law considering dynamic characteristics of missile is best.