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arXiv 2006.09614eess.SYcs.SYmath.OC
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基于广义性能指标ZEM/ZEV的风场UAV最优制导

UAV Optimal Guidance in Wind Fields Using ZEM/ZEV with Generalized Performance Index

Ely C. de Paiva, Bruno Carvalho, Luis Rodrigues

摘要:

提出了一种考虑风影响的无人机三维两点间最优导引方法。所提出的要最小化的代价函数涉及行程时间和控制能量的加权。一个解析表达式推导出的最佳成本产生一个四阶多项式的正实根对应于最佳旅行时间。优化问题被证明是等价的零努力小姐/零努力速度(ZEM/ZEV)的情况下,恒定的风加速度的最优制导方法。通过不同风况下的模拟实例,展示了雷诺-伏斯和拦截问题的案例研究。

英文摘要:

This paper presents an optimal guidance approach for a UAV 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 (ZEM/ZEV) optimal guidance approach for the case of a constant wind acceleration. Case studies for the rendez-vous and the intercept problems are shown through simulation examples for different wind conditions.

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