某型导弹控制系统的鲁棒稳定性分析

Robust Stability Analysis of Control Systems of Missile

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 control systems of missile is considered in this paper. First the generalized state space model of missile is established. When the gene ralized model is converted into the standard first order model, the uncertain pa rameter will perturb almost all elements in the systems matrix in the first orde r model with complicated nonlinear functions. In the view of this, the robust s tabi lity criteria involves in linear matrix inequalities (LMI) whi ch is solved by c onvex optimization algorithm for uncertain generalized model is presented. It is applied in robust stability analysis of missiles. It is shown that the missile is robust stable under the designed control law.