摘要
针对考虑阳光角约束的“追-防-逃”在轨三方博弈控制问题,提出一种基于降维求解与阳光角修正的联合优化方法。针对三方博弈最优控制高维求解复杂、光学约束建模困难的问题,首先通过将原问题拆分为“追-逃”与“防-追”两个低维子博弈问题,结合权值系数协调子问题控制策略,降低了36维两点边值问题的求解维度;其次,设计阳光角修正策略,通过动态调整控制矢量方向,使追击方逆光抵近目标,削弱敌方光学观测条件。仿真结果表明,该方法可实现三方博弈场景下的过程阳光角博弈,且相较于直接求解三方博弈问题,所提方法可实现在轨博弈策略快速求解,为实现复杂约束下的多方在轨博弈在线校正控制提供了解决方案。
A joint optimization method combining dimensionality reduction and solar angle correction is proposed to address the challenges of three-player orbital game control under solar angle constraints.For the high-dimensional optimal control solution and complex optical constraint modeling in pursuit-defense-evasion scenarios,the original problem is decomposed into two low-dimensional sub-games:pursuit-evasion and defense-pursuit.Weighting coefficients are employed to coordinate control strategies across sub-problems,reducing the 36-dimensional two-point boundary value problem′s computational complexity.A solar angle correction strategy is further developed to dynamically adjust control vector directions,enabling pursuers to approach targets against sunlight and degrade adversarial optical observation conditions.Simulation results demonstrate that the proposed method achieves solar angle manipulation in three-player game scenarios.Compared to directly solving the three-player game problem,this approach reduces computational complexity by 40%while maintaining control optimality,providing a viable solution for online correction of multi-agent orbital games under complex constraints.
作者
刘鹏轩
余建慧
杨彬
朱永生
李爽
LIU Pengxuan;YU Jianhui;YANG Bin;ZHU Yongsheng;LI Shuang(Nanjing University of Aeronautics and Astronautics,College of Astronautics,Nanjing 211106,China;Beijing Institute of Tracking and Telecommunications Technology,Beijing 100094,China;Innovation Academy for Microsatellites of Chinese Academy of Sciences,Shanghai,200120,China)
出处
《宇航学报》
北大核心
2025年第8期1579-1590,共12页
Journal of Astronautics
基金
空间智能控制技术全国重点实验室开放基金(HTKJ2024KL502001,HTKJ2025KL502010)。
关键词
在轨博弈
三方博弈
微分对策
最优控制
Orbital game
Three-player game
Differential game
Optimal control
