最优策略的导引特性分析

THE STEERING CHARACTERISTIC ANALYSIS OF OPTIMAL STRATEGY

本文从微分对策理论出发,在考虑了导弹与目标的响应频宽及纵向加速度下,导出了飞行器的三维最优追逃策略;并以此进行了较全面的导引特性分析。分析表明,最优策略实质上是以零控脱靶作为误差信号的反馈控制,在每一采样时刻近似地以平行接近法作为理想运动状态,是一种修正的比例导引方法。当不计飞行器的响应时间、纵向加速度和控制溢出时,蜕化为常规比例导引。本文还定义了飞行器对对局的可控能力,讨论了相应的影响因素;通过对最优增益系数的计算和分析,加深了对最优策略的认识。

In this paper, a three dimensional pursuit-evasion problemis studied by the differential game theory. The time constants and axial accelerations of the missile and target are taken into account. The steering characterises of the optima] strategy are analyzed in detail. Analyses show that the optimal strategy is actually a feedback control by giving predicted miss as error signal. It is also a modified proportional navigation guidance law. Its ideal motion at each sampling instant is approximately the well-known constant bearing course. Neglecting the time canstants, axial accelerations and the control overflow, the optimal strategy is reduced to the conventional proportional navigation guidance law. The control ability of the flight vehicle to the situation is defined and discussed. Finally, from the computation and analysis of the optimal gain, we get deeper understanding about the optimal strategy. The results obtained will be useful for the guidance system design of the new generation flight vehicles.