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离散化方法在可重复使用飞行器六自由度着陆在线轨迹优化问题中的应用

Application of discretization methods in the online trajectory optimization of six-degree-of-freedom landing for reusable vehicles

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【作者】 陈海鹏; 张嘉凯; 陈洪波; 闫杰;

【Author】 CHEN Haipeng;ZHANG Jiakai;CHEN Hongbo;YAN Jie;School of Aeronautics, Northwestern Polytechnical University;Research and Development Center, China Academy of Launch Vehicle Technology;School of Aeronautics and Astronautics, Sun Yat-Sen University;School of Systems Science and Engineering, Sun Yat-Sen University;Unmanned System Technology Research Institute, Northwestern Polytechnical University;

【通讯作者】 陈洪波;

【机构】 西北工业大学航天学院; 中国运载火箭技术研究院研究发展中心; 中山大学航空航天学院; 中山大学系统科学与工程学院; 西北工业大学无人系统技术研究院;

【摘要】 可重复使用飞行器垂直软着陆过程中存在模型偏差和初始参考轨迹敏感等问题,针对相关难点,建立考虑飞行器姿态运动的六自由度翻转着陆阶段动力学模型,关注仿真实验中求解精度和计算效率这2个优化问题求解的重要评价指标,重点对比分析了梯形离散、伪谱离散和一阶保持离散3种处理原问题动力学方程的离散化方法。选取综合表现更好的一阶保持离散方法,针对可重复使用飞行器垂直着陆轨迹优化问题特性,设计了迭代凸优化算法并使用积分方法验证其优化结果的正确性,为在线求解轨迹优化的效率和准确性需求提供了解决方案。

【Abstract】 The process of vertical soft landing for reusable vehicles presents challenges such as model deviations and sensitivity to the initial reference trajectory. To address these difficulties, this paper first establishes a six-degree-of-freedom(6-DOF) dynamics model for the attitude motion during the flipping landing phase. Subsequently, the study focuses on two critical evaluation metrics for optimization in numerical simulations: solution accuracy and computational efficiency. Then, a comparative analysis of three discretization methods-trapezoidal, pseudospectral, and first-order hold discretization-is conducted in terms of solution accuracy and computational efficiency in simulation experiments. Ultimately, the first-order hold discretization method, with better overall performance, is selected. An iterative convex optimization algorithm is designed to solve the vertical landing trajectory optimization problem, and its results are verified using integration methods. This approach provides an effective solution for the demands of efficiency and accuracy in real-time trajectory optimization.

  • 【文献出处】 西北工业大学学报 ,Journal of Northwestern Polytechnical University , 编辑部邮箱 ,2025年05期
  • 【分类号】V249;V448
  • 【下载频次】34
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