摘要
分析了微分几何制导律在战术弹道导弹拦截场景中的捕获条件和捕获能力.首先根据古典微分几何中的曲率理论将微分几何制导曲率指令从弧长体系转换到时域下,然后给出了指令攻角的算法和微分几何制导律,最后推导出拦截高速目标时的初始必要捕获条件.仿真结果表明,微分几何制导律可以应用于战术弹道导弹拦截场景,且与比例导引律相比,该制导律对变机动目标具有更强的鲁棒性.
The application of 2D differential geometric guidance command to a realistic ATBM scenario is in- vestigated. In particular, the capture capability and interception performance of the law are analyzed. Firstly, the classical differential geometric theory of curvature is used to transform the differential geometric guidance curvature command from the arc-length based system to the time based system. Secondly, an algorithm for the commanded angle-of-attack is derived in order to form the 2D differential geometric guidance law. Finally, a necessary initial condition is deduced to guarantee intercepting capture of a high-velocity target. Simulations of intercepting maneuvering and non-maneuvering targets are conducted. The results demonstrate that the differential geometric guidance law exhibits similar performance with proportional navigation in intercepting a non- maneuvering target. However, it performs better than proportional navigation in the case of intercepting a maneuvering target.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2007年第7期1031-1035,共5页
Journal of Harbin Institute of Technology
