轻型反潜鱼雷最优垂直命中末弹道设计

摘要

在轻型反潜鱼雷最优垂直命中弹道设计中,基于庞特里亚金(Pontryagin)极小值原理解析求解得到的最优垂直命中导引律具有理论基础完备、形式简洁等优点,但因其推导过程进行了一系列简化处理,适用范围变窄,且控制系数不易获得,事实上难于直接应用.为此,本文提出了一种实用的鱼雷最优垂直命中末弹道的设计方法,即对上述导引律进行面向工程应用的二次优化设计,从而得到满足不同初始作战态势下的最优导引律.通过弹道数字仿真验证了该方法的可行性和可靠性.分析了末弹道优化系统的设计灵敏度,提出了合理的优化设计建议.%Although it is more theoretically perfect and compendious than other guidance laws, the optimal perpendicular hit terminal guidance law based on Pontryagin's minimal principle is more difficult to be applied directly to lightweight antisubmarine torpedo trajectory design for its idealization and indeterminate control coefficients. Accordingly, a practical optimization method is introduced into perpendicular hit terminal trajectory design for a lightweight antisubmarine torpedo in this paper. In this method, engineering-oriented secondary optimization is performed on the guidance law mentioned above to gain optimal guidance laws for different initial operation postures. Digital simulations demonstrate the feasibility and reliability of the proposed method. In addition, the design sensitivity of the terminal trajectory optimization system is analyzed, and suggestions about the optimization design are offered.