...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of guidance, control, and dynamics >Attractive Sets to Unstable Orbits Using Optimal Feedback Control
【24h】

Attractive Sets to Unstable Orbits Using Optimal Feedback Control

机译：使用最佳反馈控制吸引不稳定轨道

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper investigates the combination of optimal feedback control with the dynamical structure of the three-body problem. The results provide new insights for the design of continuous low-thrust spacecraft trajectories. Specifically, the attracting set of an equilibrium point or a periodic orbit (represented as a fixed point) under optimal control with quadratic cost is obtained. The analysis reveals the relation between the attractive set and original dynamics. In particular, it is found that the largest dimensions of the set are found along the stable manifold and the least extent is along the left eigenvector of the unstable manifold. The asymptotic behavior of the structure of the attractive set when time tends to infinity is analytically revealed. The results generalize the use of manifolds for transfers to equilibrium points and periodic orbits in astrodynamic problems. The result is theoretical and developed for a linearized system, but it can be extended to nonlinear systems in the future.
机译：本文研究了最优反馈控制与三体问题动力学结构的结合。研究结果为连续低推力航天器轨迹的设计提供了新的见识。具体地，获得具有二次成本的最优控制下的平衡点或周期轨道（表示为固定点）的吸引集。分析揭示了有吸引力的集合和原始动力学之间的关系。特别地，发现沿着稳定歧管找到集合的最大尺寸，并且沿着不稳定歧管的左边特征向量找到最小范围。分析揭示了当时间趋于无穷大时，吸引集的结构的渐近行为。结果概括了使用歧管转移到天体动力学问题的平衡点和周期轨道。结果对于线性系统是理论上的，并已开发出来，但将来可以扩展到非线性系统。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号