用最大值原理求某无人机的最优上升轨迹

为改进某无人机飞行性能，应用最大值原理求解无人机在垂直平面内的最优上升轨迹，推导了无人机最经济爬升所满足的极值方程；并用此方程和最快爬升极值方程这两类目标函数求解了某无人机的最优上升轨迹，计算结果表明，经优化后的爬升轨迹可以节省燃油，延长无人机的续航时间或快速爬升到预定的终点高度具有较好的性能收益。

Striving for the Optimal Climb Trajectory ofa Pilotless Aircraft Using Maximum Principle

Abstract For improving the performance in flight of a pilotless aircraft, this paper striving for the optimal climb trajectory of the pilotless aircraft in the vertical plane using maximum principle. The extreme value equation is deduced for the pilotless aircraft minimum-fuel to climb. The optimal climb trajectory of the pilotless aircraft is strived using the equation and the extreme value equation of minimum - time to climb as two objective functions. The numberical solutions is strived using string ?cutting method in this paper. The calculating result states that the fuel can be saved and the endurance time of the pilotless aircraft can be lengthen or the final altitude predetermined can be climbed fast and there are better the profit in performance according to the climbing trajectory optimized.