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Neighboring optimal control for open-time multiburn orbital transfers

机译：开放时间多点燃烧轨道转移的邻域最优控制

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摘要

While a parametric approach has been proposed recently to establish the neighboring optimal control (NOC) for multiburn orbital transfer problems with fixed final time, it is not applicable once the final time is free. Indeed, it is quite common for orbital transfer missions to leave their final time free. In this paper, we continue developing the parametric approach and extend it to establishing the NOC for such problems with free final time. The key idea is to construct a new parameterized family of extremals such that every neighboring extremal around a nominal one is totally determined by its final time and a vector. Then, the NOC for free-time scenarios is readily established through deriving the Taylor expansion of the parameterized neighboring extremals; as a by-product, some prerequisite conditions, fundamental for establishing the NOC, are formulated. Moreover, a scheme for performing the NOC is proposed accordingly. Finally, to illustrate the improvement of this paper, a free-time multiburn orbital transfer problem is computed and some Monte Carlo campaigns are tested in the presence of various perturbations, showing that the final condition errors are significantly reduced by employing the NOC developed in the paper. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：尽管最近提出了一种参数化方法来为最终时间固定的多燃烧轨道转移问题建立邻近最优控制（NOC），但一旦最终时间没有空，它就不适用。的确，轨道转移任务将其最后时间留空是很普遍的。在本文中，我们将继续开发参数化方法，并将其扩展到建立具有免费最终时间的此类问题的NOC。关键思想是构造一个新的参数化极值族，以使围绕标称值的每个相邻极值都完全由其最终时间和向量决定。然后，通过推导参数化的邻近极值的泰勒展开，可以轻松地建立空闲时间情景的NOC。作为副产品，制定了一些条件，这些条件是建立NOC的基础。此外，因此提出了用于执行NOC的方案。最后，为了说明本文的改进，计算了一个自由时间多燃烧轨道转移问题，并在存在各种扰动的情况下测试了一些蒙特卡洛战役，这表明通过使用该方法开发的NOC可以显着降低最终条件误差。纸。 （C）2018 Elsevier Masson SAS。版权所有。

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  • 来源
    《Aerospace science and technology》 |2018年第3期|37-45|共9页
  • 作者

    Chen Zheng; Tang Shuo;

  • 作者单位

    Univ Paris 11, Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France;

    Northwestern Polytech Univ, Sch Astronaut, Xian 710072, Shaanxi, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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