基于高斯伪谱法的化-电混合推进系统转移轨道优化设计

摘要

A kind of chemical-electric hybrid mode propulsion system was proposed for the orbit transfer mission of GEO satellite. This propulsion system has a good application prospect and can fit much of the engineering demands,such as high-degree payloads and high-accuracy orbit insertion.The research on the optimization methods of the transfer orbit based on the hybrid mode propulsion system was carried out.A new Gauss pseudospectral method to solve the multi-phase optimum control problem was proposed,which transformed the multiple nonlinear programming problems transformed by Gauss pseudospectral method to one by setting up the linkage of the breaking points.Two simulation examples indicate that this method can effectively solve the optimization problem of the multi-phase non-smooth orbit.It has the advantages of high operation efficiency, big convergence radius and high solving accuracy, and can conveniently and fast process the optimization design of the transfer orbit based on the hybrid mode propulsion system.%提出利用化-电混合模式推进系统完成地球同步卫星轨道转移任务,该推进系统极具应用前景,能够满足高有效载荷率、高入轨精度的工程实践需求.并针对基于该混合模式推进系统的转移轨道的优化方法展开研究,提出一种多阶段最优控制问题(OCP)的高斯伪谱法求解方法.该方法通过分段点的关联设置,将多个经高斯伪谱法转化而来的非线性规划问题转化为一个连贯的非线性规划问题(NLP).两个不同算例的仿真过程与分析结果表明,该方法能够有效地解决多阶段非光滑连接轨道的优化问题,具有运算效率高、收敛性半径大、求解精度高等优点,可便捷地处理化-电混合模式推进系统的转移轨道优化设计问题.