多航路点协同约束下的飞机性能参数优化
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摘要
针对多航路点协同约束下飞行轨迹预测中飞机性能参数优化问题,依据飞机进场剖面构建了飞机进场轨迹,并提出了飞机进场航路点协同约束合理性的验证方法。创建了两种多目标适应度函数并进行对比、选择,在简化问题复杂性的同时保证了优化模型运行的稳定性,并基于多目标遗传算法建立了优化求解模型。仿真结果表明,该优化模型能对具有多个航路点协同约束下的节油飞机性能参数进行有效求解,使用非线性适应度函数较线性适应度函数综合稳定性提升了161. 67%,所提出的RTA约束窗口大小设置方法对空管实际运行有指导意义。
For the problem of the aircraft performance parameters optimizing in the trajectory prediction under multi-waypoint cooperative constraints,the aircraft approach trajectory was constructed according to the approach profile. And a verification method for the rationality of the cooperative constraints of the aircraft approach waypoint was proposed. Two multi-objective fitness functions were created and compared to simplify the complex problem while the stability of the optimization model was guaranteed,and an optimization solution model for the problem based on multi-objective genetic algorithm was proposed. Simulation results show that fuel-efficient performance parameters can be solved effectively by using the optimization model with multi-waypoint cooperative constraints,and the comprehensive stability of the nonlinear fitness function is 161. 67% higher than that of the linear fitness function. The proposed setting method for RTA constraint window'size is instructive for the practical operation of air traffic management.
For the problem of the aircraft performance parameters optimizing in the trajectory prediction under multi-waypoint cooperative constraints,the aircraft approach trajectory was constructed according to the approach profile. And a verification method for the rationality of the cooperative constraints of the aircraft approach waypoint was proposed. Two multi-objective fitness functions were created and compared to simplify the complex problem while the stability of the optimization model was guaranteed,and an optimization solution model for the problem based on multi-objective genetic algorithm was proposed. Simulation results show that fuel-efficient performance parameters can be solved effectively by using the optimization model with multi-waypoint cooperative constraints,and the comprehensive stability of the nonlinear fitness function is 161. 67% higher than that of the linear fitness function. The proposed setting method for RTA constraint window'size is instructive for the practical operation of air traffic management.
引文
[1]魏志强,张文秀,韩博.考虑飞机排放因素的飞机巡航性能参数优化方法[J].航空学报,2016,37(11):3485-3493.
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[3] Mendoza A M,Mugnier P,Botez R M.Vertical and horizontal flight reference trajectory optimization for a commercial aircraft[R].AIAA-2017-1241,2017.
[4] Patrón R S F,Botez R M. Flight trajectory optimization through genetic algorithms for lateral and vertical integrated navigation[J].Journal of Aerospace Information Systems,2015,12(8):533-544.
[5]温瑞英,魏志强,王红勇,等.民用飞机巡航性能计算研究[J].飞行力学,2015,33(4):289-292.
[6]吕开妮,南英.基于自适应遗传算法的客机爬升段轨迹优化[J].计算机仿真,2017,34(1):66-69.
[7] Sam Liden.Optimum 4-D guidance for long flights[C]∥[1992] Proceedings IEEE/AIAA 11th Digital Avionics Systems Conference. Seattle,WA,USA:IEEE,1992:262-267.
[8] García-Heras J,Soler M,Sáez F J. A Comparison of optimal control methods for minimum fuel cruise at constant altitude and course with fixed arrival time[J].Procedia Engineering,2014,80:231-244.
[9] García-Heras J,Soler M,Sáez F J.Collocation methods to minimum-fuel trajectory problems with required time of arrival in ATM[J].Journal of Aerospace Information System,2016,13(7):243-265.
[10] Alejandro M M,Audric B,Ruxandra M B.Aircraft vertical reference trajectory optimization with a RTA constraint using the ABC algorithm[R].AIAA-2016-4208,2016.
[2] Mendoza A M,Botez R.Vertical navigation trajectory optimization algorithm for a commercial aircraft[R]. AIAA-2014-3019,2014.
[3] Mendoza A M,Mugnier P,Botez R M.Vertical and horizontal flight reference trajectory optimization for a commercial aircraft[R].AIAA-2017-1241,2017.
[4] Patrón R S F,Botez R M. Flight trajectory optimization through genetic algorithms for lateral and vertical integrated navigation[J].Journal of Aerospace Information Systems,2015,12(8):533-544.
[5]温瑞英,魏志强,王红勇,等.民用飞机巡航性能计算研究[J].飞行力学,2015,33(4):289-292.
[6]吕开妮,南英.基于自适应遗传算法的客机爬升段轨迹优化[J].计算机仿真,2017,34(1):66-69.
[7] Sam Liden.Optimum 4-D guidance for long flights[C]∥[1992] Proceedings IEEE/AIAA 11th Digital Avionics Systems Conference. Seattle,WA,USA:IEEE,1992:262-267.
[8] García-Heras J,Soler M,Sáez F J. A Comparison of optimal control methods for minimum fuel cruise at constant altitude and course with fixed arrival time[J].Procedia Engineering,2014,80:231-244.
[9] García-Heras J,Soler M,Sáez F J.Collocation methods to minimum-fuel trajectory problems with required time of arrival in ATM[J].Journal of Aerospace Information System,2016,13(7):243-265.
[10] Alejandro M M,Audric B,Ruxandra M B.Aircraft vertical reference trajectory optimization with a RTA constraint using the ABC algorithm[R].AIAA-2016-4208,2016.