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首页> 外文期刊>Mathematical Problems in Engineering >Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
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Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription

机译：基于厄米-伪谱直接转录的自适应网格迭代法优化弹道

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摘要

An adaptive mesh iteration method based on Hermite-Pseudospectral is described for trajectory optimization. The method uses the Legendre-Gauss-Lobatto points as interpolation points; then the state equations are approximated by Hermite interpolating polynomials. The method allows for changes in both number of mesh points and the number of mesh intervals and produces significantly smaller mesh sizes with a higher accuracy tolerance solution. The derived relative error estimate is then used to trade the number of mesh points with the number of mesh intervals. The adaptive mesh iteration method is applied successfully to the examples of trajectory optimization of Maneuverable Reentry Research Vehicle, and the simulation experiment results show that the adaptive mesh iteration method has many advantages.
机译：描述了一种基于Hermite-Pseudospectral的自适应网格迭代方法，用于轨迹优化。该方法使用Legendre-Gauss-Lobatto点作为插值点；然后通过Hermite插值多项式近似状态方程。该方法可以同时改变网格点的数量和网格间隔的数量，并且可以以更高的精度公差解决方案显着减小网格尺寸。然后使用导出的相对误差估计值来交换网格点数与网格间隔数。自适应网格迭代法已成功应用于机动再入飞行器弹道优化实例，仿真实验结果表明，自适应网格迭代法具有很多优点。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第6期|2184658.1-2184658.7|共7页
  • 作者

    Lei Humin; Liu Tao; Li Deng; Ye Jikun; Shao Lei;

  • 作者单位

    Air Force Engn Univ, Air & Missile Def Coll, Xian 710051, Peoples R China;

    Air Force Engn Univ, Air & Missile Def Coll, Xian 710051, Peoples R China;

    Shaanxi Normal Univ, Coll Educ, Xian 710062, Peoples R China|Nanyang 2 High Sch, Nanyang 473000, Peoples R China;

    Air Force Engn Univ, Air & Missile Def Coll, Xian 710051, Peoples R China;

    Air Force Engn Univ, Air & Missile Def Coll, Xian 710051, Peoples R China;

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