Reachable set estimation for spacecraft relative motion based on bang-bang principle  

作　　者：Lizhen SHAO Haibin MIAO Renhong HU Hongjin LIU 

机构地区：[1]Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education,School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China [2]Shunde Graduate School of University of Science and Technology Beijing,100083,China [3]School of Mechanical Engineering and Automation,Harbin Institute of Technology Shenzhen 528399,China [4]Beijing Institute of Control Engineering,Beijing 100190,China [5]Beijing Sunwise Space Technology Ltd.,Beijing 100190,China

出　　处：《Chinese Journal of Aeronautics》2023年第2期229-240,共12页中国航空学报（英文版）

基　　金：partially supported by the National Natural Science Foundation of China(No.12071025);the Natural Science Foundation of Guangdong Province,China(No.2022A1515011172);the Science and Technology on Space Intelligent Control Laboratory for National Defense,China(No.KGJZDSYS-2018-13);the Scientific and Technological Innovation of Shunde Graduate School of University of Science and Technology Beijing,China(No.BK20AE004)。

摘　　要：For spacecraft formation flight,the information of relative motion reachable set is very important,which can be used to predict the operating boundary of adjacent spacecraft and thus to ensure the safety of spacecraft operation.In this paper,we aim at developing a numerical method to approximate the reachable set for spacecraft relative motion.In particular,we focus on the quality of the approximation and the computational cost.Based on the bang-bang control principle,a polyhedral approximation algorithm is proposed to compute the reachable set of a relative motion spacecraft system.An inner approximation and an outer approximation of the reachable set for the system can be obtained.We prove that the approximation quality measured in Hausdorff distance can be guaranteed.The method is easy to implement and has low computational cost.Finally,the effectiveness of the algorithm is demonstrated by experimental simulation.

关 键 词：Polyhedral approximation Reachable set Spacecraft control Spacecraft relative motion The bang-bang control principle 

分 类 号：V44[航空宇航科学与技术—飞行器设计]