一种快速爬升和快速下降的奇异摄动最优中制导律设计

Design on a rapidly ascending and descending singular perturbation optimum middle guidance law

利用非线性奇异摄动系统2点约束最优问题的结论,在分析导弹质心运动方程两时间尺度特性的基础上,提出了一种计算量较小、较简单的奇异摄动最优中制导律,并对此制导律进行进一步修正,得到一种快速爬升和快速下降的奇异摄动最优中制导律。将此制导规律用于高超音速巡航导弹上,进行了三维弹道仿真,取得了满意结果,证明高超音速巡航导弹应用此改进的奇异摄动最优中制导律是可行的、可靠的。

A simple singular perturbation optimum middle guidance law was put forward based on the conclusion of two-point constraint problems in the nonlinear singular perturbation system and the analysis on the two time-scale behavior in mass center equation for missiles. The guidance law was modified further, and a rapidly ascending and descending singular perturbation optimum middle guidance law was obtained. The guidance law was applied to a high supersonic cruise missile, and 3D ballistic simulation was conducted, finally the satisfactory results were obtained. The application of singular perturbation optimum middle guidance law to high supersonic cruise missile was feasible and reliable.