卫星编队队形重构中的模型选择  

Model Selection for Satellite Formation Flight Reconfiguration

作　　者：李保军[1] 师鹏[1] 张皓[1] 赵育善[1] 

机构地区：[1]北京航空航天大学宇航学院,北京100191

出　　处：《宇航学报》2010年第9期2101-2107,共7页Journal of Astronautics

摘　　要：推导了卫星编队进行燃料最优队形重构时,两组Lawden方程(时间域和真近点角域)下所建立目标函数的数学关系,指出在不需要解析解的情况下,动力学模型应选择时间域下的Lawden方程,目标函数应建立在时间域。首先,分别针对脉冲推力和持续推力机动,研究了两组方程下目标函数的差异。然后,以持续推力式重构方法为例,构造了燃料最优目标函数,基于最大值原理,建立了队形重构的两点边值问题。然后,采用边界迭代法求解初始协态变量,确定最优的控制加速度。最后通过数学仿真验证了模型分析的正确性及算法的有效性。Mathematical relations are derived for two fuel-optimal cost functions for Satellite Formation Flight Reconfiguration（SFFR） based on two sets of Lawden＇s Equations（LEs）,with respect to time and true anomaly respectively.It shows that the LEs with respect to time should be selected and cost function should be formulated with respect to time,when analytical solutions are not necessary.First,cost functions of these two LEs are compared,in cases of impulse thrust and continuous thrust.Then,fuel-optimal cost function for the continuous thrust is developed and two-point-boundary-value problem of SFFR is founded on the Pontriagin maximum principle.Then,initial co-state values are obtained by using a boundary iterative method,and the optimal control accelerations are determined.Finally,Numerical simulation illustrates the validity of the analysis and the performance of the algorithm.

关 键 词：卫星编队 队形重构 燃料最优控制 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]