论文部分内容阅读
提出了基于伪谱法的编队卫星队形重构最优轨迹规划方法.首先,应用Legendre伪谱法将队形重构问题离散化为非线性规划问题;然后,通过庞特里亚金极小值原理计算出不考虑碰撞规避问题时各星最优轨迹的解析形式,并由此计算出各星间的碰撞点;最后,在碰撞点附近设置符合高斯分布的测试点,进一步避免各星在配置点间发生碰撞.仿真结果表明,应用所提出方法得到的队形重构的最优轨迹能够较好地满足各种约束条件,计算精度高、速度快,使得编队卫星自主重构成为可能.
The optimal trajectory planning method for formation formation of formation satellite formation based on pseudospectral method is proposed.Firstly, Legendre pseudospectral method is used to discretize the formation reconstruction problem to a nonlinear programming problem. Then, Value principle to calculate the analytic form of the optimal trajectory of each star without considering the collision avoidance problem, and then calculate the collision points between the stars; finally, set up the test points conforming to the Gaussian distribution near the collision points to further avoid the star The simulation results show that the optimal trajectory of formation reconstruction obtained by the proposed method can satisfy various constraints well, and the calculation accuracy is high and the velocity is fast, making it possible to reconstruct formation satellites autonomously.