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The problem of relative orbit and attitude coupled control of spacecraft formation flying is studied. In this paper, the coupled attitude and orbit nonlinear dynamic model of six degrees of freedom (6-DOF) is proposed. Considering a variety of space perturbations and model uncertainties, power reaching law sliding-mode variable structure control method is used to develop an orbit and attitude coupling cooperative controller, also the finite time convergence is performed using Lyapunov stability method. Numerical simulations are carried out to verify the validity of the proposed controller. The results show that this controller can achieve synchronization control of the relative orbit and attitude, and it provides good control accuracy and stability.
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