一种考虑追踪器速度变化的最优导引律

An Optimal Guidance Law for Trackers with Time-Varying Velocity

从考虑追踪器速度的大小和方向变化以及目标速度变化方面入手 ,以最优控制理论和飞行力学原理为基础 ,推导出一种考虑追踪器速度变化的最优导引律—变系数比例导引律 ,同时给出一种计算剩余时间的新方法—剩余时间函数法。对要求垂直入射的情况 ,设计了满足入射角度要求的导引律。仿真结果表明 ,应用本文的导引律在制导过程中能量消耗少 ,制导精度高 ,脱靶量小 。

According to the change of the tracker velocity, including its magnitude and its direction, and the change of the target velocity, an optimal guidance law variable gain proportional guidance law for trackers with time varying velocity is derived on the basis of the optimal control theory and the dynamics of flight. Meanwhile, the time to go like function, which is a new method to calculate the time to go, is given. In some cases, there is a requirement of angular at intercept point, a guidance law is designed to satisfy this condition. Simulation studies show that the proposed law in this paper is superior to proportional navigation because its control energy is smaller and its guidance accuracy is better.