宇航学报 ›› 2016, Vol. 37 ›› Issue (7): 795-801.doi: 10.3873/j.issn.1000-1328.2016.07.005

• 制导、导航与控制 • 上一篇    下一篇

机动目标的空间交会微分对策制导方法

常燕,陈韵, 鲜勇,雷刚   

  1. 1.火箭军工程大学,西安 710025;2.西北工业大学精确制导与控制研究所,西安 710072
  • 收稿日期:2015-10-13 修回日期:2016-01-13 出版日期:2016-07-15 发布日期:2016-07-25

Differential Game Guidance for Space Rendezvous of Maneuvering Target

CHANG Yan, CHEN Yun, XIAN Yong, LEI Gang   

  1. 1. Rocket Forces University of Engineering, Xi’an 710025, China;
    2. Precision Guidance and Control Institute, Northwestern Polytechnic University, Xi’an 710072, China
  • Received:2015-10-13 Revised:2016-01-13 Online:2016-07-15 Published:2016-07-25

摘要:

针对目标机动情况,利用定量微分对策方法分析连续推力作用下的空间交会追逃微分对问题,提出用非线性规划求解该微分对策问题的方法,建立空间交会追逃微分对策的非线性规划模型,有效解决了机动目标空间交会微分对策模型高度非线性且难于利用经典最优控制理论进行求解的问题,实现了最优控制与对策论的结合,并通过数值仿真校验了该方法的有效性。

关键词: 空间交会, 微分对策, 连续推力, 非线性规划

Abstract:

Orbital rendezvous problem of pursuit-evasion differential game with continuous thrust is analyzed with quantitative method for a maneuvering target, the nonlinear programming method to solve this differential game problem is proposed, and the nonlinear programming model is formulated for the highly nonlinear pursuit-evasion problem which is difficult to solve with the classic optimal control method. The simulation results indicate that this method has realized the combination of optimal control and game theory, and is effective to solve the space rendezvous problem with maneuvering target.

Key words: Space rendezvous, Differential game, Continuous thrust, Nonlinear programming

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