Satellite proximate pursuit-evasion game with different thrust configurations

Satellite proximate pursuit-evasion game with different thrust configurations
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不同推力配置的卫星近距追逃游戏

DOI:
10.1016/j.ast.2020.105715
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发表时间:
2020-04
期刊:
AerospaceScienceandTechnology
影响因子:
--
通讯作者:
Zhaowei Sun
Zhaowei Sun
中科院分区:
其他
文献类型:
--
作者:
Dong Ye;Mingming Shi;Zhaowei Sun

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本文研究了近距离卫星追踪-逃避博弈,其中追踪者携带三个正交的推力器,每个推力器可以沿一个轴方向施加有限的力,而逃避者只有一个推力器,可以在任何方向上产生有界加速度。追击者或逃避者通过执行轨道机动来尽力捕获或逃脱。通过在初始旋转轨道上建立一个局部运动坐标系,我们将每个参与者的动力学简化为线性Clohessy-Wiltshire方程。然后,我们将寻找与对策鞍点解相关的最优控制问题转化为两点边值问题,并将启发式搜索与牛顿法相结合进行求解。最后,通过数值模拟,讨论了该算法在寻找对策开环解方面的有效性。结果表明,与每个参与人只有一个推力器的追逐-逃避博弈相比,本文所考虑的问题可能无法通过间接方法有效地解决,因为存在一些参与人的初始状态,使得所提出的算法无法解决开环控制。
This paper investigates the proximity satellite pursuit-evasion game where the pursuer carries three orthogonal thrusters, each of which can exert a magnitude-limited force along one axis, while the evader has a single thruster which can produce a bounded acceleration in any direction. The pursuer or the evader tries their best to capture or escape by performing orbital maneuvers. By establishing a local moving coordinate frame on the originally revolving orbit of the evader, we reduce the dynamics of each player to the linear Clohessy-Wiltshire equations. We then transform the problem of finding the optimal controls associated with the saddle point solution of the game into the two-point boundary value problem, which is solved by combining the heuristic searching and Newton method. At last, by numerical simulations, we discuss the effectiveness of the proposed algorithm in finding the open-loop solution to the game. We show that, in contrast with pursuit-evasion games where each player has one single thruster, the problem considered in this paper may not be solved efficiently by the indirect method, since there exist some initial states of the players such that the proposed algorithm fails to solve the open-loop control.
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