系统工程与电子技术 ›› 2018, Vol. 40 ›› Issue (10): 2317-2324.doi: 10.3969/j.issn.1001-506X.2018.10.24

• 制导、导航与控制 • 上一篇    下一篇

基于分段贝塞尔曲线的多导弹协同航迹规划

王晓芳1, 柴劲2, 周健2   

  1. 1. 北京理工大学宇航学院, 北京 100081; 2. 中国兵器工业第二〇三研究所, 陕西 西安 710000
  • 出版日期:2018-09-25 发布日期:2018-10-10

Cooperative path planning for multiple missiles based on piecewise Bezier curve

WANG Xiaofang1, CHAI Jin2, ZHOU Jian2   

  1. 1.School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
    2. 203 Research Institute of China Ordnance Industries, Xi’an 710000, China
  • Online:2018-09-25 Published:2018-10-10

摘要: 针对多导弹在保证自身生存能力的前提下对目标进行协同打击的问题,提出一种能够使多导弹回避威胁区、避免弹间碰撞、从指定的方向同时攻击目标的协同航迹规划方法。建立导弹的三次贝塞尔曲线航迹模型,考虑导弹的初始发射角、末端攻击角、过载等多种约束,以表示贝塞尔曲线控制点位置的量作为设计变量,以分段航迹最短为性能指标函数,通过优化得到最优分段航迹。根据战场的威胁区的位置和大小,设计了航迹节点选取规则,并与分段航迹优化方法相结合得到了满足威胁回避要求、过载及攻击角度约束的航迹。在各导弹速度相同的前提下,选定最长航迹对应时间为理想攻击时间,其余航迹按比例扩展以与最长航迹的长度相等,从而实现攻击时间的一致。对协同航迹时空安全性进行检测并提出了对不安全航迹的调整方法。仿真结果表明了本算法的有效性。

Abstract: To solve the problem of attacking the target effectively on the premise of ensuring their survival of multiple missiles, an algorithm of cooperative path planning is proposed which can not only make missiles avoid threats and collision but also attack the target at the same time from designated directions. The path model is based on the threeorder Bezier curve. Considering multiple constraints of the initial flight path angle, impact angle and available overload, regarding the position of control points of the Bezier curve as design variables and the piecewise path length as the optimal cost index function, an optimal model is established which could be solved to get the optimal segment of the Bezier curve. According to the situation of threats in the battlefield, a selection strategy for the waypoints of every missile is designed, which combines the optimization of the piecewise path to get the whole path satisfying the impact angle constraint. Supposing that all the involved missiles have the same speed, the flight time corresponding to the longest path is regarded the desired cooperation impact time. Other paths are then extended proportionally to have the same length with the longest path to realize impact time cooperation. The time and space safety of the path is detected and a method adjusting the unsafe path is proposed. Simulation results demonstrate the validity of the proposed algorithm.