基于虚拟目标的导弹越肩发射初制导轨迹优化

Guidance Law Design for Air-to-Air Missile Over-the Shoulder Based on Virtual Target

对具有攻角约束的空空导弹越肩发射轨迹优化问题做出研究.针对空空导弹越肩发射初制导段拐弯问题,设计了基于虚拟目标的程序指令.基于最优控制的思想,利用高斯伪谱法求解最优程序指令,并根据所得指令的特点提出了三段式指令计算方法.在此基础上,比较了不同空域、速度以及虚拟目标位置条件对程序指令的影响.同时基于预测控制的思想,对程序指令进行在线修正,提高了导引指令的鲁棒性.三通道仿真结果表明,指令可以使导弹快速转弯并在转弯完成时指向虚拟目标.

An air-to-air missile trajectory optimization problem is discussed in the case of over-the shoulder. The scheme takes the angle of attack constraints into consideration. A virtual-target-based guidance law is designed for large off-boresight launching of air-to-air missile. After studying the results of the optimal trajectory,which is solved by gauss pseudospectral method（ GPM）,a three-segment guidance command is proposed. The differences in command due to flight height,flight velocity and the position of virtual target are studied. Meanwhile,the robustness of the guidance law is improved via correcting it online. Simulation results indicate that the proposed command can make the missile turn rapidly with body axis pointing toward virtual target after turning.