摘要
由若干油箱联合供油的飞行器在执行任务时需要制定合适的供油方案,以避免因姿态过大发生失控、坠毁事件.飞行器质心平衡供油规划是一个多约束的优化问题,首先建立质心模型,计算飞行器飞行过程中的实际质心,然后提出一种基于投影的梯度下降算法求解该问题.该算法将油箱的供油速度投影至可行空间寻求最优解.同时为了得到全局最优的供油策略,还提出一种组合供油策略.该策略优先耗剩余油量最多的油箱,然后选择使质心偏差最小的供油速度.最后,通过仿真数据验证模型的有效性和准确性.实验结果表明,质心模型和供油策略模型能够规划出合理有效的供油方案.
Aircraft that are fed by several tanks need to make a suitable fuel supply plan when performing missions to avoid loss of control and crashes due to excessive posture.Aircraft centroid balance fuel supply planning is a multi-constrained optimization problem.This paper first establishes a centroid model to calculate the actual centroid of the aircraft during flight,and then proposes a project ion-based gradient descent algorithm to solve this problem.This algorithm projects the fuel supply speed of the tanks to the feasible space and find the optimal solution.At the same time,in order to obtain the global optimal fuel supply strategy,this paper also proposes a combined fuel supply strategy.This strategy gives priority to the fuel tanks that consumes the most remaining fuel,and then selects the fuel supply speed that minimizes the deviation of the center of mass.Finally,this paper verifies the validity and accuracy of models through simulation data.The experimental results show that the centroid model and the fuel supply strategy model can plan a reasonable and effective fuel supply plan.
作者
李郝
宋明艳
LI Hao;SONG Ming-yan(Beijing Jinghang Research Institute of Computing and Communication,Beijing 100074,China)
出处
《数学的实践与认识》
2021年第23期330-336,共7页
Mathematics in Practice and Theory
关键词
飞行器
质心平衡
供油策略
基于投影的梯度下降算法
Aircraft
centroid balance
fuel supply strategy
projection-based graxlient descent algorithm