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首页> 外文期刊>Mathematical Problems in Engineering >Path Planning for Rapid Large-Angle Maneuver of Satellites Based on the Gauss Pseudospectral Method
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Path Planning for Rapid Large-Angle Maneuver of Satellites Based on the Gauss Pseudospectral Method

机译：基于高斯伪谱方法的卫星大角度快速机动路径规划

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摘要

A Gauss pseudospectral method is proposed in this study to solve the optimal trajectory-planning problem for satellite rapid large-angle maneuvers. In order to meet the requirement of rapid maneuver capability of agile small satellites, Single Gimbal Control Moment Gyros (SGCMGs) are adopted as the actuators for the attitude control systems (ACS). Because the singularity problem always exists for SGCMGs during the large-angle maneuvering of the satellites, a trajectory optimization method for the gimbal rates is developed based on the Gauss pseudospectral method. This method satisfies the control requirement of satellite rapid maneuvers and evades the singularity problem of SGCMGs. The method treats the large-angle maneuver problem as an optimization problem, which meets the boundary condition and a series of the physical constraints including the gimbal angle constraint, the gimbal rates constraint, the singularity index constraint, and some other performance criteria. This optimization problem is discretized as a nonlinear programming problem by the Gauss pseudospectral method. The optimal nonsingularity gimbal angle trajectory is obtained by the sequence of quadratic programming (SQP). This approach avoids the difficulties in solving the boundary value problem. The simulations reveal that the Gauss pseudospectral method effectively plans an optimal trajectory and satisfies all the constraints within a short time.
机译：为了解决卫星快速大角度机动的最优轨迹规划问题，提出了一种高斯伪谱方法。为了满足敏捷小型卫星快速机动能力的要求，采用了单云台控制力矩陀螺仪（SGCMG）作为姿态控制系统（ACS）的执行器。由于SGCMG在卫星大角度机动过程中始终存在奇异性问题，因此，基于高斯伪谱方法，提出了一种万向节率轨迹优化方法。该方法满足了卫星快速机动的控制要求，避免了SGCMG的奇异性问题。该方法将大角度机动问题视为最优化问题，该问题满足边界条件和一系列的物理约束，包括万向节角度约束，万向节率约束，奇异性指标约束以及一些其他性能标准。该优化问题通过高斯伪谱方法离散为非线性规划问题。通过二次编程（SQP）序列获得最佳的非奇异性万​​向节角度轨迹。这种方法避免了解决边界值问题的困难。仿真结果表明，高斯伪谱方法可以有效地规划最优轨迹，并在短时间内满足所有约束条件。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第2期|1081267.1-1081267.7|共7页
  • 作者

    Zhang Wan; Zhang Yao; Li Wenbo; Wang Youyi;

  • 作者单位

    Beijing Inst Technol, Beijing 100081, Peoples R China;

    Beijing Inst Technol, Beijing 100081, Peoples R China;

    Beijing Inst Control Engn, Beijing 100081, Peoples R China;

    Beijing Inst Control Engn, Beijing 100081, Peoples R China;

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