Real-time collision avoidance for multiple spacecraft operations via discrete-time generating functions

Kwangwon Lee, Chandeok Park

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This study presents real-time cooperative control for optimal collision-free transfers of multiple active (actuated) spacecraft in proximity operations. In the framework of an optimal control problem for a single active spacecraft, the cost functions for tracking reference solutions and avoiding obstacles are integrated with a quadratic cost function for continuous-thrust control. Then, the infinite-horizon control law applicable to each of multiple spacecraft is obtained as an algebraic function of the states of reference solutions and obstacles by employing discrete-time generating functions. Unlike conventional methods based on shooting, the proposed approach does not require repetitive process and initial guesses regardless of the number of active spacecraft. The illustrative examples validate the proposed approach of optimal collision-free transfers for multiple active spacecraft.

Original languageEnglish
Title of host publicationSpace Flight Mechanics Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105333
Publication statusPublished - 2018
EventSpace Flight Mechanics Meeting, 2018 - Kissimmee, United States
Duration: 2018 Jan 82018 Jan 12

Publication series

NameSpace Flight Mechanics Meeting, 2018


ConferenceSpace Flight Mechanics Meeting, 2018
Country/TerritoryUnited States

Bibliographical note

Funding Information:
This work was mainly supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT Future Planning (NRF-2015R1A1A1A05001063) and in part by the Yonsei University Future-leading Research Initiative of 2016 (2016-22-0100).

Publisher Copyright:
© 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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