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中文摘要：
研究基于SDRE的防空导弹的非线性制导律设计问题。首先建立了防空导弹二维制导律模型，选取了弹目相对距离和相对速率作为状态变量，用SDRE方法进行防空导弹二维制导律设计，分别用传统的Schur方法和θ-D方法以及改进的Newton方法对SDRE控制器进行了求解，对这三种算法进行了分析和比较。针对防空导弹的数值仿真显示基于SDRE方法的控制律对于二维制导律的有效性，而SDRE方法虽然比θ-D法的计算量大，但是其控制效果却又明显的优势，而改进的Newton法能比传统的Schur法提高计算的精度。
英文摘要：
The nonlinear guidance law of ground to air missile via state-dependent Riccati equation （SDRE） technique was discussed. Firstly, the guidance model was established, and the relative kinematical equations for missile and target were set up. The guidance law was designed via SDRE technique. The controller was solved using three methods： Schur method, modified Newton method and θ-D method. Finall）; the simulation results show the effectiveness of the control law based on SDRE method to the two dimensional guidance law, and the SDRE method has shown a great advantage over θ- D method with larger amount of calculation, while comparing with the traditional Schur method, the modified Newton method could largely raise the calculation precision.
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