构造了拦截加速机动目标的空空导弹末制导状态模型。提出了脱靶量和横向加速度综合最小的导引指标 ,并用线性二次型的形式求解了最优导引律。从工程应用的角度出发 ,设计了能用于主动雷达制导弹的次优末制导律。大量的仿真试验表明 ,该导引律的性能好于比例导引律 :平均脱靶量小 2 0 3 % ,所用横向加速度小2 8 1% ,成功拦截率大 13%。 The end-guidance state model of air-to-air missile was constructed to intercept the accelerated maneuvering target. The guidance index that minimizes the combination of miss distance and lateral acceleration is proposed and the optimal guidance law is solved by linear quadratic form. From the engineering application point of view, we design a suboptimal final guidance law that can be used in active radar guided missiles. A large number of simulation experiments show that the performance of the guidance law is better than that of the proportional guidance law: the average off-target is 20% smaller, the lateral acceleration is 21.8% smaller, and the successful interception rate is 13% larger.