含J2摄动的有限时间航天器追逃博弈问题研究

来源 :力学季刊 | 被引量 : 0次 | 上传用户：qyyqyy202

【摘要】

：

航天器追逃博弈是航天器在轨捕获任务的一个重要问题,具有极高的军民两用双重价值.针对有限时间且考虑J2摄动的航天器追逃博弈问题,本文提出了一种精确的求解方法.该方法的核心思想是将有限时间的航天器追逃博弈问题建模为有限时间二人零和对策,则博弈中两航天器的最优控制策略可以转化为有限时间二人零和对策的鞍点解.在鞍点解的求解过程中,本文首先基于考虑J2摄动的非线性动力学方程,将两航天器动力学方程和始末边值条件与鞍点解必要条件结合得到两点边值问题,然后提出一种结合遗传算法和配点法的混合算法求解该两点边值问题以得到精确

【作者】

：

李沛王齐帅蔡国平

【机构】

：

上海交通大学海洋工程国家重点实验室工程力学系,上海200240

【出处】

：

力学季刊

【发表日期】

：

2021年3期

【关键词】

：

航天器追逃有限时间二人零和对策 J2摄动鞍点解

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含J2摄动的有限时间航天器追逃博弈问题研究

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