摘要
研究了椭圆参考轨道指定区域最优交会问题。为了实现在指定区域完成最优交会,采用以参考轨道真近点角为自变量的线性化时变Tschauner-Hempel交会动力学模型,按照设定的真近点角交会域和最优二次性能指标设计最优交会控制,加权矩阵随真近点角变化。为方便指定区域最优控制问题求解,采用区段混合能法递推求解时变黎卡提矩阵微分方程和状态轨线。对远距、近距异面交会和共面交会三种情况设定不同的交会域进行了仿真研究,结果表明方法能保证在设定的真近点角域内完成交会,交会控制能耗小,精度高。
Coplanar and non - coplanar optimal rendezvous problems for elliptical reference orbits in specified regions were studied. To implement optimal rendezvous in a specified region, the linear time - varying Tschauner - Hempel model was used to describe the relative dynamics in rendezvous. Then the rendezvous region was set accord- ing to true anomaly and the control strategies were designed on a quadratic performance index with the weighted ma- trix as the functions of true anomaly. To make the optimal controls easily, an interval mixed - energy method was used to solve the time - varying Riccati differential equations. The non - eoplanar and coplanar rendezvous with long distance and short distance in given true anomaly regions were simulated and compared. The results indicated that the rendezvous can be completed in the specified region with less fuel expenditure and high precision.
出处
《计算机仿真》
CSCD
北大核心
2009年第10期60-64,共5页
Computer Simulation
关键词
最优控制
椭圆参考轨道
交会
区段混合能
Optimal control
Elliptical reference orbits
Rendezvous
Interval mixed energy
