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空天防御  2025, Vol. 8 Issue (3): 104-110    
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基于Mercator变换的巡航飞行器在线航迹规划方法
姚江川1, 张明恩2, 王小刚1, 鄂斌1, 崔乃刚1
1. 哈尔滨工业大学 航天学院,黑龙江 哈尔滨 150006; 2. 上海机电工程研究所,上海 201109
Mercator-Projection-Based Online Trajectory Planning Method for Cruise Vehicles
YAO Jiangchuan1, ZHANG Mingen2, WANG Xiaogang1, E Bin1, CUI Naigang1
1. School of Aerospace Engineering, Harbin Institute of Technology, Harbin 150006, Heilongjiang, China; 2. Shanghai Electro-Mechanical Engineering Institute, Shanghai 201109, China
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摘要 针对考虑禁飞区约束的巡航飞行器在线航迹规划需求,提出一种基于Mercator变换的巡航飞行器在线航迹规划方法。该方法将规划航迹的航向变化量直接引入规划平面各阶导数内,从而在不引入动力学的条件下,可显式描述规划航迹的能量损耗;结合二次规划问题的优化特性,按照二次规划范式构建同时考虑规划航迹能量损耗与禁飞约束的在线航迹规划方法,可显著提升求解效率与解的最优性。仿真结果表明,该方法能在严格遵守禁飞区约束的同时,高效生成易跟踪且低能量损耗的规划航迹,完成巡航飞行器在线航迹规划。
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关键词 巡航飞行器航迹规划Mercator变换Frenet坐标系二次规划    
Abstract:This paper proposed a Mercator transformation-based planning method for the online trajectory planning of cruise vehicles subject to no-fly zone constraints. By directly incorporating the planned trajectory's heading angle variation into the planning plane's higher-order derivatives, this approach explicitly characterised the energy expenditure of the trajectory without introducing dynamic constraints. The proposed method leverages quadratic programming (QP) optimisation properties to improve efficiency. It formulated the online trajectory planning problem under the QP framework, simultaneously addressing energy consumption and no-fly zone constraints. This formulation significantly enhanced computational efficiency and solution optimality. Simulation results demonstrate that the method can efficiently generate smooth, energy-efficient, and conveniently trackable trajectories while strictly complying with no-fly zone restrictions, achieving effective online trajectory planning for cruise vehicles.
Key wordscruise aircraft    trajectory planning    Mercator projection    Frenet coordinate system    quadratic planning
收稿日期: 2025-02-18      出版日期: 2025-07-15
ZTFLH:  V 249  
基金资助:国家自然科学基金项目(U2441206)
通讯作者: 王小刚   
作者简介: 姚江川(2000—),男,硕士研究生。
引用本文:   
姚江川, 张明恩, 王小刚, 鄂斌, 崔乃刚. 基于Mercator变换的巡航飞行器在线航迹规划方法[J]. 空天防御, 2025, 8(3): 104-110.
YAO Jiangchuan, ZHANG Mingen, WANG Xiaogang, E Bin, CUI Naigang. Mercator-Projection-Based Online Trajectory Planning Method for Cruise Vehicles. Air & Space Defense, 2025, 8(3): 104-110.
链接本文:  
https://www.qk.sjtu.edu.cn/ktfy/CN/      或      https://www.qk.sjtu.edu.cn/ktfy/CN/Y2025/V8/I3/104

参考文献
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