基于落角约束的最优导引律

在对地精确制导武器的实际使用中,不仅要求脱靶量最小,而且希望能以一定的落角命中目标,从而可以充分发挥战斗部效能,取得最佳毁伤效果。传统的比例导引律不能满足该要求,为此本文建立了含有落角约束的最优控制模型,并依据施瓦兹不等式原理进行了推导,最终得到了含有落角约束的最优导引律的表达形式。仿真结果表明:该导引律可以使导弹以期望的落角命中目标,且具有实现简单、结果最优等特点。

Optimal Guidance Law based on Terminal Angular Constraint

In practical applications of ground precise-guidance weapons, not only the miss distance is required to be the minimum, but also the target is expected to be hit at a certain strike angle, so that the warhead effectiveness can be brought into full play and the best lethality can be achieved. The traditional proportional guidance law cannot meet these requirements. Therefore, in this paper, an optimal control model with terminal angular constrain is established, and the expression of the optimal guidance law with terminal angular constraint is derived according to the Schwartz inequality principle. The simulation results show that the guidance law can enable missile to hit the target at the desired strike angle and has the characteristics such as simple realization and optimal results.