中文摘要：

基于最优预测控制理论及局部最优预测控制理论,利用庞特里亚金随机极值原理研究了两类代价函数的随机预测控制问题,给出了＂终时最优＂及＂一般形式＂的随机预测控制算法.针对机动目标的拦截问题,考虑系统状态噪声和观测噪声等随机因素影响,分别推导了2种形式的随机预测制导律.通过对机动目标拦截的仿真,表明了＂一般形式＂预测制导律的有效性,该制导律具有弹道预测功能,能够零化视线角速度并具有良好的鲁棒性,与最优制导律相比终段过载较小.

英文摘要：

Based on the theory of optimal predictive control and local optimization,stochastic predictive control problems with two types of coast function were studied by using Pontryagin ＇ s extremum principle,and the algorithms named terminal optimal predictive control and universal predictive control were presented.To solve the problem of interception,two types of stochastic predictive guidance law were derived considering state noises and measuring noises.The interception was numerically simulated.The results show that the universal predictive guidance law is effective.The guidance law has trajectory prediction function and the ability of zeroizing the rate of LOS with strong robustness,and it has smaller overload in the end phase of trajectory compared with traditional optimal guidance law.