基于虚拟域动态逆的空地反辐射导弹轨迹优化

针对空地反辐射导弹抗雷达关机问题，基于虚拟域动态逆( IDVD)的方法设计了一种轨迹优化算法。基于动态逆的思想，通过虚拟弧长高次拟合导弹轨迹坐标，并将边界条件以及状态变量从时间域转换到虚拟域，在虚拟域中求出边界条件的导数。再根据直接法原理离散导弹轨迹，采用罚函数法处理性能指标，寻优得到最优轨迹。仿真结果表明，该方法能够快速计算生成反辐射导弹轨迹，达到了即使雷达关机，也能准确命中目标的目的。该方法通过虚拟化轨迹长度能够方便地求解边界条件的高阶导数，简化了计算过程，能够快速生成参考弹道，且对参数初值不敏感。

Trajectory Optimization for Air-to-ground ARM Based on Inverse Dynamics in the Virtual Domain

Aiming at the countermeasure against radar switching-off of anti-radiation missile,a trajectory optimization algorithm was designed based on the method of inverse dynamics in virtual domain( IDVD) . Based on the inverse dynamics principle,the position of missile was fitted by virtual arc,and the boundary conditions and state variables were transformed from time domain to virtual domain. The derivatives of boundary conditions were derived in virtual domain. The trajectory was discretized according to the direct method,and the performance indexes were set by penalty function to obtain the optimal trajectory. The simulation results show that the trajectory of anti-radiation missile generates rapidly by using this method. The purpose of hitting the target precisely with the radar of target switching-off was realized. This method can solve the high order derivatives of boundary conditions conveniently by virtualizing the length of trajectory,which simplifies the calculation process,and the reference trajectory can generate rapidly,and it is also insensitive to the initial value of parameters.