引用本文:李敬春,张亚,段海滨.纬度未知条件下捷联惯导摇摆基座自对准方法[J].控制理论与应用,2023,40(1):39~46.[点击复制]
LI Jing-chun,ZHANG Ya,DUAN Hai-bin.Self-alignment algorithm for swaying SINS under geographic latitude uncertainty[J].Control Theory and Technology,2023,40(1):39~46.[点击复制]
纬度未知条件下捷联惯导摇摆基座自对准方法
Self-alignment algorithm for swaying SINS under geographic latitude uncertainty
摘要点击 1003  全文点击 272  投稿时间:2021-07-02  修订日期:2022-05-17
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DOI编号  10.7641/CTA.2021.10580
  2023,40(1):39-46
中文关键词  捷联惯导系统  摇摆基座  自对准  纬度未知  特征值分解  重力表观运动
英文关键词  strapdown inertial navigation system  swaying base  self-alignment  latitude uncertainty  eigenvalue decomposition  gravity apparent motion
基金项目  科技创新2030 –“新一代人工智能”重大项目(2018AAA0102403), 国家自然科学基金项目(U20B2071, U1913602, U19B2033), 中国博士后科学基 金项目(2020M682824)资助.
作者单位E-mail
李敬春* 鹏城实验室 ljc150001@163.com 
张亚 哈尔滨工业大学  
段海滨 北京航空航天大学  
中文摘要
      针对纬度未知条件下捷联惯导摇摆基座自对准问题, 本文将其看作基于特征值分解的优化问题处理, 提出 一种基于地球系重力矢量的摇摆基座自对准方法. 首先, 构建基于速度增量形式的目标函数, 建立不依赖外部纬度 信息的地球系下重力矢量模型, 以提高地球系下重力矢量的估计精度; 然后, 将摇摆基座自对准看作Wahba姿态确 定问题, 基于地球系下重力矢量建立关于惯性系转换四元数的速度增量式目标函数, 增强对噪声及振荡干扰的抑 制, 利用基于特征值分解的多矢量优化方法完成摇摆基座自对准, 以提高对准精度; 最后, 通过设置捷联惯导摇摆基 座初始对准仿真及船舶系泊实验, 验证了所提方法的有效性.
英文摘要
      Aimed at solving the initial alignment problem of swaying strapdown inertial navigation system (SINS) under geographic latitude uncertainty, which is considered as an eigenvalue decomposition optimization-based alignment problem in the paper, a self-alignment algorithm based on the gravity vector in earth frame is proposed. Firstly, the velocity increment-based objective function is constructed to represent the gravity vector in earth frame without the aid of external latitude information, which can improve the estimation accuracy of the gravity vector in earth frame. Secondly, the selfalignment of swaying SINS is transformed into a Wahba problem and the gravity vector-based objective function in velocity increment form is built to restrain the disturbances of the sensor noises and oscillations. Then the eigenvalue decompositionbased optimization method is employed to determine the accurate attitude quaternion on the swaying base. Finally, both simulations and ship mooring experiment under the swaying base are carried out, and the results verify the effectiveness and superiority of the proposed algorithm under geographic latitude uncertainty.