Abstract: A fast nonsingular terminal sliding mode variable structure control scheme was proposed aimed at the problem of model parameters variation and strong separation disturbance of the air-breathing missile separation control. The dynamic inversion method was adopted to linearize the input and output of the separation control model，then design a fast nonsingular terminal sliding mode controller for the linearized model and optimized the controller parameters using ant colony optimization algorithm. The controller performance of normal stage-separation condition and abnormal stage-separation condition were simulated and verified，and the results show that the attitude angle and angular velocity of the 2nd stage missile quickly converge to expectations，respectively，in 0.5s and 1.0s and without rudder chattering.

Key words: Air-breating missile；Stage-separation control；Dynamic inversion；Terminal sliding mode；Robustness

摘要： 针对吸气式导弹级间分离控制存在模型参数突变和强分离干扰等不确定性问题，提出了一种快速非奇异终端滑模变结构控制方案。采用动态逆方法将分离控制数学模型输入/输出线性化，然后对线性化模型设计了快速非奇异终端滑模控制器，并采用蚁群优化算法对控制器参数进行优化。对正常分离条件和异常分离条件下控制器的性能进行了仿真验证，结果表明二级导弹姿态角和角速度分别在0.5s，1s内收敛至期望状态，同时舵面无抖振现象。

关键词: 吸气式导弹；级间分离控制；动态逆；终端滑模；鲁棒性