航迹可编程飞行器航程计算方法

doi:10.3969/j.issn.1009-086x.2018.03.005

摘要/Abstract

摘要： 为了精确计算具有航迹可编程能力飞行器从起飞至抵达目的地的航程,提出了一种航程计算方法。根据航迹可编程飞行器飞行过程的特点,将航程计算分解为起飞段和巡航段,分别建立了飞行器水平面内扇面转弯、垂直面内程序下滑和巡航段多航路点曲线转弯航迹描述数学模型,采用几何方法分别给出了各段航程计算方法,并归纳推广至具有N个航路点的复杂航迹的航程计算。系统验证表明:该方法计算的飞行器航程理论值与飞行器导航系统实测真值误差较小,具有计算速度快、精度高的特点。

关键词: 航迹编程, 扇面转弯, 程序下滑, 多航路点, 几何方法, 航程计算, 仿真验证

Abstract: To accurately calculate the voyage of the aircraft with the track programmable capability from the takeoff to the destination, a simplified method of calculating the voyage is proposed. According to the characteristics of the flight path of the programmable aircraft, the flight calculation process is decomposed into the flight section and the cruise section, the aircraft in plane turning model, the vertical in plane program decline model and the cruise section of multi way road curve description mathematical model are established. The geometric method is used to give the calculation method of each voyage, and the proposed method is generalized to the complex trajectory with N waypoints. The system verification shows that the error between the calculated value of the aircraft range and the measured value of the aircraft navigation system is very small, and it has the characteristics of fast calculation and high precision.

Key words: track programming, in-plane turning, program downtime, multiple waypoints, geometric method, voyage calculation, simulation verification

中图分类号:

杨华东, 庹红平. 航迹可编程飞行器航程计算方法[J]. 现代防御技术, 2018, 46(3): 35-40.

YANG Hua-dong, TUO Hong-ping. Simplified Calculation Method of the Voyage for the Aircraft with Track Programmable Capability[J]. Modern Defense Technology, 2018, 46(3): 35-40.

参考文献 15

[1]	李厚朴,王瑞.大椭圆航法及其导航参数计算[J].海军工程大学学报,2009,21(4):7-12.LI Hou-pu,WANG Rui.Great Ellipse Nautical Method and Its Navigation Parameters Calculation [J].Journal of Naval University of Engineering,2009,21(4):7-12.
[2]	刘文超,卞鸿巍,王荣颖,等.大椭圆航线设计的空间矢量方法[J].测绘学报,2015,44(7):741-746.LIU Wen-chao,BIAN Hong-wei,WANG Rong-ying,et al.Great Ellipse Route Planning Based Space Vector [J].Acta Geodaetica et Cartographica Sinica,2015,44(7):741-746.
[3]	胡江强,杨盐生,李铁山.恒向线航向和航程的精确计算[J].大连海事大学学报,2005,5(2):11-14.HU Jiang-qiang,YANG Yan-sheng,LI Tie-shan.Accurate Caculation of the Course and Distance in Rhumb Line[J].Journal of Dalian Maritime University,2005,5(2):11-14.
[4]	蔡开龙,谢寿生.基于最小二乘拟合法的某型飞机航程计算的实现[J].航空计算技术,2003,33(1):4-7.CAI Kai-long,XIE Shou-sheng.Flying Distance’s Computation of X Aeroplane Based on Least Square Method[J].Aeronautical Computer Technique,2003,33(1):4-7.
[5]	孙春亚,宋保维,王鹏.翼身融合水下滑翔机外形优化设计[J].水下无人系统学报,2017,25(1):68-76.SUN Chun-ya,SONG Bao-wei,WANG Peng.Shape Optimization of Blended-Wing-Body Underwater Glider [J].Journal of Unmanned Undersea System,2017,25(1):68-76.
[6]	赵战兴.最小二乘法分段在船舶航迹拟合研究中的应用[J].舰船科学技术,2016,38(3A):27-30.ZHAO Zhan-xing.Application of the Least Square Method in the Research of Ship Track Fitting[J].Ship Science and Technology,2016,38(3A):27-30.
[7]	王在高.大圆航程与恒向线航程的比较分析[J].合肥学院学报,2016,33(4):13-17.WANG Zai-gao.Comparative Analysis of Distance Between Great Circle and Rhumb Line[J].Journal of Hefei University,2016,33(4):13-17.
[8]	孙继红,赵杨,杜晓海.反潜自导鱼雷不同航速下的航程计算[J].舰船电子工程,2012,32(8):39-41.SUN Ji-hong,ZHAO Yang,DU Xiao-hai.Range Calculating in Different Speed Conditions for Anti-Sumarine Homing[J].Ship Electronic Engineering,2012,32(8):39-41.
[9]	孙权.能量约束下鱼雷最优攻击速度和提前角[J].鱼雷技术,2017,25(1):77-81.SUN Quan.Optimal Attack Speed and Leading Angle of Torpedo Under Energy Constraint [J].Torpedo Technology,2017,25(1):77-81.
[10]	张耀中,李寄伟,胡波.基于改进ACO算法的多UAV协同航路规划[J].火力与指挥控制,2017,42(5):139-146.ZHANG Yao-Zhong,LI Ji-wei,HU Bo.Cooperative Path Planning for Multi-UAVs Based on Improved ACO Algorithm[J].Fire Control & Command Control,2017,42(5):139-146.
[11]	刘长龙,王勇,任杨,等.基于航程补偿的高超声速飞行器轨迹快速规划[J].计算机仿真,2015,32(10):78-82.LIU Chang-long,WANG Yong,REN Yang,et al.Rapid Trajectory for Hypersonic Vehicle Based on Flight Range Compensation[J].Journal of Computer Simulation,2015,32(10):78-82.
[12]	许泽宇,王洪波,康永来.返回式滑翔飞行器最小航程轨迹优化方法[J].导弹与航天运载,2017,352(2):25-30.XU Ze-yu,WANG Hong-bo,KANG Yong-lai.Trajectory Optimization Research for Reentry Glide Vehicle With Minimum-Range Constraint[J].Missiles and Space Vehicles,2017,352(2):25-30.
[13]	沈立项,王和平,练彬.轻型电动载人飞行器航程与航时计算方法研究[J].西北工业大学学报,2015,33(4):553-558.SHEN Li-xiang,WANG He-bing,LIAN Bin.Range and Endurance Estimates for Light Electric Manned Aircraft[J].Journal of Northwestern Polytechnic University,2015,33(4):553-558.
[14]	从书全,王成军,姜杨.无人机航程与续航时间的实时估算方法研究[J].宇航计测技术,2012,32(2):62-65.CONG Shu-quan,WANG Cheng-jun,JIANG Yang.Research on Real-Time Estimation Method for Range and Cruise Duration of UAV[J].Journal of Astronautic Metrology and Measurement,2012,32(2):62-65.
[15]	YANG Hua-dong,REN Xiao-jun.An Improved Algorithm for the Solution of Geodetic Problems[C]∥2009 International Joint Conference.Proceedings of the Second International Joint Conference on Computational Sciences and Optimization.US:IEEE,2009:218-220.