针对卫星编队飞行相对位置控制问题,提出了一种有限时间控制方法.首先,建立了编队卫星相对运动的非线性动力学方程.其次,设计了有限时间快速收敛的滑模面,提出了一种有限时间控制方法,该方法能保证闭环控制系统的全局稳定性和快速收敛性,并给出了理论证明.最后,将提出的方法应用于卫星编队飞行维持控制.仿真结果表明该方法在收敛时间和控制精度方面均优于传统线性滑模控制和终端滑模控制. Aiming at the problem of relative position control of satellite formation flying, a finite time control method is proposed.Firstly, a nonlinear dynamic equation of relative motion of formation satellite is established.Secondly, a sliding surface with fast convergence for a finite time is designed and a The method can guarantee the global stability and fast convergence of the closed-loop control system, and gives a theoretical proof.Finally, the proposed method is applied to the satellite formation flight maintaining control.The simulation results show that the proposed method has better performance in convergence time And control accuracy are better than the traditional linear sliding mode control and terminal sliding mode control.