本文假定自动驾驶仪及弹体的动态特性为一阶环节,考虑了目标机动和导弹的姿态,用工作点线化方法,得到了以脱靶量和控制总能量为最小的二次型性能指标及以法向加速度和滚动角速度为控制变量的BTT导弹的最优导引规律。用简化模型进行了数值仿真计算,结果表明所推导的导引规律,可以拦截机动目标,具有良好的导引精度,有一定的工程实用价值。 This paper assumes that the dynamic characteristics of autopilot and projectile are the first order, taking into account the attitude of the target maneuvering and missile, the quadratic performance index with the total amount of miss distance and total control energy The Optimal Guidance Law of BTT Missile Controlled by Normal Acceleration and Rolling Angular Velocity. The simplified model is used to simulate the numerical results. The results show that the guided law can intercept the maneuvering target, which has good guidance precision and has some engineering practical value.