基于追逃博弈的非合作目标接近控制

针对追踪航天器接近非合作目标任务中的相对位置控制问题,提出了一种基于线性二次型追逃博弈的控制方法。首先,将非合作目标接近问题转化为二人追逃博弈问题,并设计了二次型目标函数。其次,结合相对运动模型,建立了线性二次型追逃博弈模型。为得到纳什均衡策略,将HJ方程转化为代数黎卡提方程,并给出了李雅普诺夫迭代法对其求解。最后,对博弈控制方法的有效性进行仿真验证,结果表明,该方法能够在非合作目标机动时实现轨道接近控制。

Pursuit-Evasion Game Control for Approaching Space Non-Cooperative Target

A linear quadratic differential game control method based on pursuit-evasion game theory is proposed for a chasing spacecraft approaching a non-cooperative target. Firstly, based on the analysis of approaching non-cooperative target, the relative orbit control problem is formulated into a two-player pursuit-evasion game. According to the control requirements of optimal consumption and high-accuracy approaching, the quadratic performance index function is designed. Secondly, combining the linearized relative motion model between chasing spacecraft and non-cooperative target, a linear quadratic pursuit-evasion game model is established. Then, the HJ equation is transformed into algebra Riccati equations which can be solved by Lyapunov iterations to get the Nash equilibrium strategy. Finally, the simulation results show that the linear quadratic pursuit-evasion control can achieve orbital proximity even if the non-cooperative target maneuvers.