Sub-optimal fixed-finite-horizon spacecraft configuration control on SE(3)  

作　　者：Yulin WANG Wei SHANG Haichao HONG 

机构地区：[1]Institute of Remote-sensing Satellite,China Academy of Space Technology,Beijing 100094,China [2]School of Mechanical Engineering,Hubei University of Technology,Wuhan 430068,China [3]Institute of Flight System Dynamics,Technical University of Munich,Garching 85748,Germany

出　　处：《Chinese Journal of Aeronautics》2022年第6期250-261,共12页中国航空学报（英文版）

基　　金：the support of the TUM University Foundation Fellowship。

摘　　要：For achieving the desired configuration of spacecraft at the desired fixed time,a suboptimal fixed-finite-horizon configuration control method on the Lie group SE(3)is developed based on the Model Predictive Static Programming(MPSP).The MPSP technique has been widely used to solve finite-horizon optimal control problems and is known for its high computational efficiency thanks to the closed-form solution,but it cannot be directly applied to systems on SE(3).The methodological innovation in this paper enables that the MPSP technique is extended to the geometric control on SE(3),using the variational principle,the left-invariant properties of Lie groups,and the topology structure of Lie algebra space.Moreover,the energy consumption,which is crucial for spacecraft operations,is considered as the objective function to be optimized in the optimal control formulation.The effectiveness of the designed sub-optimal control method is demonstrated through an online simulation under disturbances and state measurement errors.

关 键 词：Configuration control Lie groups Model Predictive Static Programming Optimal control Spacecraft control 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]