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针对欠驱动的非对称航天器设计六自由度相对运动的姿轨耦合控制器.首先,给出用对偶四元数描述的六自由度相对运动模型;然后,基于矩阵广义逆和空控制向量提出广义的滑模控制器,以实现相对姿态欠驱动控制的渐近稳定;最后,考虑姿轨耦合特性,利用高斯伪谱法和非线性规划得到相对轨道运动能量最省的轨迹,进而利用滑模变结构控制实现对该轨迹的跟踪.仿真结果表明,所提出的方法是有效和可行的,而且较其他方法消耗的能量更少.
For the under-actuated asymmetric spacecraft, an attitude-rail coupled controller with six degrees of freedom relative motion is designed.Firstly, a six-degree-of-freedom relative motion model is presented, which is described by dual quaternions. Then, based on the matrix generalized inverse and spacecontrol vectors A generalized sliding mode controller is proposed to achieve the asymptotic stability of the relative attitude underactuated control. Finally, the trajectory of the relative orbital motion energy is obtained by Gaussian pseudospectral method and nonlinear programming, Variable structure control to track the trajectory.The simulation results show that the proposed method is effective and feasible, and consumes less energy than other methods.