基于hp自适应伪谱法的航空器多阶段航迹优化  

Multi-phase trajectory optimization of aircraft based on hp-adaptive pseudospectral method

作　　者：贾兴强 宗军耀 刘利朝 张琦[1] 张小贝[1] JIA Xingqiang;ZONG Junyao;LIU Lizhao;ZHANG Qi;ZHANG Xiaobei(School of Communication&Information Engineering,SHU,Shanghai 200444,China;COMAC Shanghai Aircraft Design&Research Institute,Shanghai 201210,China)

机构地区：[1]上海大学通信与信息工程学院,上海200444 [2]中国商飞上海飞机设计研究院,上海201210

出　　处：《飞行力学》2024年第6期43-49,共7页Flight Dynamics

基　　金：国家重点研发计划项目资助(2022YFB3904300)。

摘　　要：航迹优化是减少航空器直接运行成本和排放成本的重要举措,为此提出了基于hp自适应Radau伪谱法的航迹优化方法。首先,将航迹优化问题转化为多阶段最优控制问题,建立基于最优控制的航迹优化模型。其次,采用Radau伪谱法对最优控制问题进行离散化处理,并通过动态调整网格区间数量和多项式阶数提高求解收敛速率。最后,选用航线实际飞行数据作为算例进行飞行成本和算法性能分析。仿真结果表明:hp自适应Radau伪谱法能够提升多阶段航迹优化最优控制问题的求解收敛速率;最短飞行时间航迹比飞行计划仿真航迹的飞行时间降低了12.25%,最少燃油消耗航迹比飞行计划仿真航迹的油耗减少了7.68%。Trajectory optimization is an important measure to reduce the direct operating cost and emission cost of aircraft.Therefore,a trajectory optimization method based on hp-adaptive Radau pseudospectrum method is proposed.Firstly,the trajectory optimization problem is transformed into a multi-phase optimal control problem,and a trajectory optimization model based on optimal control is established.Secondly,the optimal control problem is discretized by using Radau pseudospectral method,and the convergence rate of the solution is improved by dynamically adjusting the number of grid intervals and degree of the polynomial.Finally,the actual flight data of the route is selected as an example for flight cost and algorithm performance analysis.The simulation results show that the hp-adaptive Radau pseudospectral method can improve the convergence rate by solving the optimal control problem for multi-phase trajectory optimization.The shortest flight time can be reduced by 12.25%compared with the flight plan simulations,and the minimum fuel consumption is 7.68%lower than that based on the flight plan simulation trajectory.

关 键 词：航迹优化 最优控制 Radau伪谱法 燃油消耗 

分 类 号：V355[航空宇航科学与技术—人机与环境工程]