摘要
飞行器携带的燃油的油量、重心、惯性矩等对飞行器不同姿态下的质心影响较大.通过理想质心曲线的高阶差分分析研究飞行器供油系统分布及供油策略,确定油箱启停时刻,利用梯度下降法逐步寻优,使得实际的质心位置尽可能逼近理想的质心位置.当飞行器俯仰角随时间变化时,结合贪婪思想,设计一种粗粒度寻优与细粒度寻优融合的方法,通过梯度计算,构建锥优化问题,求解得到整个任务执行过程中高精度的供油策略.
When the aircraft is in different attitudes,the mass center is strongly influenced by the fuel quantity,center of gravity and moment of inertia of the fuel.Herein the distribution of fuel supply system and fuel supply strategy of aircraft are studied through the higher-order difference scheme of ideal centroid curve.After the starting and stopping time of fuel tank is determined,the gradient descent method is used to gradually optimize the actual centroid position as close as possible to the ideal centroid position.When the aircraft pitch angle changes with time,a method based on the idea of greed combining coarse-grained optimization with fine-grained optimization is designed.Through gradient calculation,the cone optimization problem is constructed,and the high-precision fuel supply strategy in the whole mission process is obtained.
作者
吴璐超
唐坤杰
余鹏
WU Lu-chao;TANG Kun-jie;YU Peng(Shanghai Municipal Engineering Design and Research Institute(Group)Co.,Ltd.,Shanghai 200092,China;School of Electrical Engineering,Zhejiang University,Hangzhou 310058,China)
出处
《数学的实践与认识》
2021年第23期337-348,共12页
Mathematics in Practice and Theory
关键词
质心轨迹-供油策略优化
逐步寻优
梯度下降法
高阶差分
centroid trajectory-fuel supply strategy optimization
step by step optimization
steepest descent algorithm
higher-order difference scheme