基于伪谱法的编队卫星队形重构防碰撞轨迹优化  

Optimal trajectory planning for reconfiguration of satellite formation with collision avoidance based on Pseudospectral method

作　　者：黄海滨[1,2] 马广富[1] 庄宇飞[1] 吕跃勇[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001 [2]哈尔滨工业大学(威海)信息与电气工程学院,山东威海264200

出　　处：《控制与决策》2012年第4期551-556,共6页Control and Decision

基　　金：国家自然科学基金项目(60774062)

摘　　要：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.An algorithm for energy-optimal trajectory planning of satellite formation re.configuration based on Pseudospectral method is proposed. Firstly, the reconfiguration problem is converted into a nonlinear programming problem by using Legendre Pseudospectral method. Then the analytical expressions of the formation satellites are derived by using Pontryagin＇s minimum principle without considering the collision avoidance, and the points are found out, where collisions happen for all the satellites. Moreover, some points are set according with Gaussian distribution around the collision points, which guarantee that the satellites can not collide with each other at these test points. The simulation results show that the proposed algorithm satisfies the constraints well and can be used for autonomous reconfiguration with its small computational amount and high accuracy.

关 键 词：队形重构 轨迹规划 碰撞规避 伪谱法 高斯分布 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]