中文摘要：

考虑电动力影响，建立了倾斜轨道绳系卫星系统的动力学模型，研究了子星回收过程的非线性最优控制．应用Legendre伪谱算法，将连续时间最优控制问题离散化，进而利用非线性规划方法进行求解，通过数值模拟验证了方法的有效性．结果表明，在满足相关约束的条件下，通过调节系绳张力和电动力，可将子星回收到靠近主星的指定位置.

英文摘要：

This paper presents a nonlinear optimal control scheme for the three-dimensional retrieval process of an electrodynamic tethered satellite system in an inclined orbit. The Legendre pseudospectral algorithm is used to acquire an optimal trajectory to guide the subsatellite into a final position close to the spaceship under mission-related constraints. The optimal control is discretized and solved with the nonlinear programming. The scheme is verified with the numerical simulation. The results shows that the control action is carried out by only adjusting the tensional and electrodynamic forces in the tether.