基于马尔科夫跳变系统的微分对策制导律

Differential Game Guidance-law Based on Markov Jump System

针对拦截目标过程中存在的信息随机间断现象,建立了马尔科夫跳变系统微分对策模型,给出了微分二次型代价函数,并求出了问题的解析解。基于导弹和目标视线角速度模型,推导了跳变系统随机微分对策制导律。仿真结果证明了新的制导律能够有效地对抗目标干扰,所需过载较小,脱靶量小;可最大程度降低干扰对拦截过程的影响,有利于提高整个系统的综合作战效能。

In the process of missile intercepting the target, the information is randomly discrete. To solve this problem,differential game model based on Markov jump system was established. A dif- ferential quadratic cost function was given, and the analytical solution was obtained. Using the line of sight（LOS）angular-rate model, stochastic differential game guidance law based on Markov jump system was deduced. The simulation results show that the new guidance law can effectively confront the target jamming,and the needed over-loading is small in terminal course,and the final miss distance is also small. The proposed guidance-law can reduce the effect of target jamming on intercepting process to the extreme extend, and it is beneficial for improving the comprehensive combat efficiency of total system.