This article investigates a distributed game strategy for formation control of multispacecraft subjected to nonlinear dynamics and J2 perturbations. In the proposed problem, each spacecraft is devoted to minimize its own performance cost using only local information, whereas the overall formation system attempts to seek an optimized decision based on communication topology. Therefore, in our scheme, the formation control problem can be treated using a Nash strategy. A worst case Nash strategy is proposed against the disturbance defined as a player, and we prove rigorously that an open-loop Nash equilibrium exists in the underlying problem. Then, a distributed terminal state observer is introduced to facilitate the local implementation of the proposed Nash strategy. Simulation results verified the performance of the proposed scheme.

中文翻译：

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多航天器编队飞行抗扰分布式博弈策略


本文研究了一种分布式博弈策略，用于承受非线性动力学和 J2 扰动的多航天器编队控制。在所提出的问题中，每个航天器都致力于仅使用本地信息来最小化其自身的性能成本，而整个编队系统则试图根据通信拓扑寻求优化决策。因此，在我们的方案中，编队控制问题可以使用纳什策略来处理。针对定义为玩家的干扰，提出了最坏情况的纳什策略，并且我们严格地证明了潜在问题中存在开环纳什均衡。然后，引入分布式终端状态观察器以促进所提出的纳什策略的本地实现。仿真结果验证了所提方案的性能。