一种基于随机最优控制的中制导律

A Midcourse Guidance Law Based on Stochastic Optimal Control

考虑中制导过程中的随机干扰,设计了一种基于随机最优控制的新型中制导律,建立了中制导过程中基于预测拦截点的弹目运动方程。以控制能量最小和速度前置角最小为中末制导交班时刻的约束条件,利用随机最优控制理论,推导了随机最优中制导律。在此基础上通过构建一个表示速度前置角积分量的附加状态变量,建立了一种新的随机最优中制导律。仿真结果表明,所建立的中制导律能够在存在状态噪声和观测噪声的情况下,使中末制导交班时刻的速度前置角趋于0,保证中末制导交班的准确性。

In order to deal with the stochastic disturbance,a new midcourse guidance law based on stochastic optimal control is proposed.The kinematic relation of missile and target based on predicted interception point is established during midcourse.By minimizing the energy and the velocity deflection angle for the midcourse-terminal handover shift,the stochastic optimal midcourse guidance law is derived from stochastic optimal control theory.A new stochastic optimal midcourse guidance law is got by using an additional state variable composed of the integral of the velocity deflection angle.Simulation results show that the proposed midcourse guidance law can make the velocity deflection angle tend to zero with states noise and observation noise,so the accuracy of the midcourse-terminal handover is guaranteed.