中文摘要：

针对倾斜转弯（BTT）导弹自动驾驶仪的抗干扰性和鲁棒性问题，以考虑耦合的情况下建立的更接近于实际的导弹数学模型为基础，将通道间的耦合作为干扰，在弹道特征点上对导弹模型进行解耦和线性化，得到各个通道的数学模型；设计基于线性矩阵不等式（LMI）的状态反馈H∞控制自动驾驶仪，搭建全耦合状态下的三通道仿真模型，并进行联合仿真研究。结果表明所设计的状态反馈H∞控制自动驾驶仪能够实现对导弹制导指令的有效跟踪，满足BTT导弹控制的要求。

英文摘要：

In order to solve the problem of anti-jamming and robustness of bluetail ticket tracker(BTT)missile,considering coupling missile mathematical model is built,which makes it closer to the actual missile mathematical model.The coupling among the channels are used as interference and the missile model is made decoupled and linearized in the ballistic characteristics of the missile model.So that missile mathematical model of each channel is obtained.State feedback H∞controller is designed based on linear matrix inequality(LMI).A full coupling of the three-channel simulation model is built,and then combined with simulation studies.The simulation results show that the design of the state feedback H∞control can achieve tracking of the missile guidance command effectively and meet the requirements of the BTT missile control.