This article presents an optimal guidance approach for unmanned aerial vehicle navigation between two given points in 3D considering the wind influence. The proposed cost function to be minimized involves the weighting of the travel time and the control energy. An analytical expression is derived for the optimal cost yielding a fourth-order polynomial, whose positive real roots correspond to the optimal travel times. The optimization problem is shown to be equivalent to the zero-effort-miss/zero-effort-velocity optimal guidance approach for the case of a constant wind acceleration. Case studies for rendezvous and intercept problems are shown through simulation examples for different wind conditions.

中文翻译：

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使用具有广义性能指标的 ZEM/ZEV 风场无人机优化制导

本文提出了一种考虑风影响的无人机在 3D 中两个给定点之间导航的最佳制导方法。要最小化的建议成本函数涉及旅行时间和控制能量的加权。推导出最优成本的解析表达式，产生四阶多项式，其正实根对应于最优旅行时间。对于恒定风加速度的情况，优化问题被证明等效于零努力未命中/零努力速度最优引导方法。交会和拦截问题的案例研究通过不同风况的模拟示例显示。