基于矩阵分解的空间系绳系统不完全反馈控制

A solution to the stage of state-keeping after tether deployment or stage of tether in-plane motion stabilization after payload capture with space tether system (STS) in the case of incomplete state feedback is proposed, which is based on matrix decomposition. Feedbacks of in-plane angle and its angular velocity are assumed to be absent. Tension controller is designed to surpass tether non-normal behavior after deployment and in-plane swing in-plane after payload to make the system return to stable state. Conventional combination method of linear quadratic regulator (LQR) + reduced dimension observer is also introduced for comparison with the proposed controller. Effectiveness of the proposed controller is validated with perturbed parameters. The simulation results indicate that the proposed control law demonstrates better performance in overshoot and settling time than LQR + reduced dimension observer method. Deployment error of tether and in-plane perturbation are effectively controlled by the proposed control law. The proposed control law has the advantages of structural simplicity, good control effectiveness, and no parameter adjustment in design process.