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研究了导弹控制系统的鲁棒稳定性。首先建立了导弹的广义状态空间模型， 针对这类难以转化为标准一阶状态空间模型或转化后少数不确定参数将以复杂的非线性函数方式扰动整个参数矩阵系统的特点， 建立了由广义模型描述不确定系统的鲁棒稳定性判据， 将其化为线性矩阵不等式（ Ｌ Ｍ Ｉ） 的形式， 从而用凸优化算法来判定。最后将所得到的结果应用于某型导弹控制系统的鲁棒稳定性分析。结果表明在所设计的控制律下， 在攻击过程中为鲁棒稳定。
The robust stability of missile control system is studied. Firstly, the generalized state space model of missiles is established. According to the characteristics of the system which is difficult to transform into a standard first-order state space model or a small number of uncertain parameters after transformation, the whole parameter matrix system is disturbed by a complicated nonlinear function method. The robust stability criterion for describing uncertain systems is described as a form of linear matrix inequality (LMI), which is then evaluated by a convex optimization algorithm. Finally, the results obtained are applied to the robust stability analysis of a missile control system. The results show that under the designed control law, it is robust and stable during the attack.