用非线性规划求解有限推力最优交会

利用非线性规划方法研究了航天器的有限推力最优交会问题。这种方法利用了近年来发展起来的直接优化技术,用分段多项式来表示整个轨道的状态和控制向量,将最优控制问题转化为非线性规划问题。在应用这种方法时,先将整个轨道分为若干推力段和无推力段,然后利用配置方法产生推力段的约束段,利用状态转移矩阵来产生无推力段的约束。最后,对共面轨道情况下的交会进行了数值仿真,验证了方法的有效性和鲁棒性。

Optimal Finite-Thrust Rendezvous Using Nonlinear Programming

Spacecraft optimal rendezvous is studied using nonlinear programming method. A recently developed direct optimization technique is employed, which uses a piecewise polynomial representation for the state and controls, thus converting the optimal control problem into a nonlinear programming one. When using the method, the whole orbit is separated to thrust arcs and non-thrust arcs, then the collocation method is used to produce the constraints of thrust arcs, and state transition matrix is applied to producing the constraints of non-thrust arcs. At last, the simulation of coplanar rendezvous verifies the effectiveness and robustness of the method.