Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory

Kwangwon Lee, Youngho Eun, Chandeok Park

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

1 Citation (Scopus)


This study presents a sub-optimal control algorithm that implements real-time collision avoidance maneuvers for spacecraft in proximity operations. The penalty function for avoiding collision with an obstacle is first incorporated into the performance index of a typical optimal tracking problem in a discrete-time domain. Then, the infinite-horizon control law is derived by employing generating functions based on the discrete-time Hamilton-Jacobi theory without initial guess and iterative procedure. The derived control law, which is an explicit function of the states of desired solution and obstacles, allows us to avoid collision in real-time. The proposed approach has advantages over the previous optimal collision avoidance approaches requiring repetitive procedure and initial guess, and/or trajectories of obstacles to be known a priori. Numerical simulations demonstrate that the proposed algorithm is suitable for implementing optimal collision-free transfers in real-time.

Original languageEnglish
Title of host publicationASTRODYNAMICS 2017
EditorsJohn H. Seago, Nathan J. Strange, Daniel J. Scheeres, Jeffrey S. Parker
PublisherUnivelt Inc.
Number of pages10
ISBN (Print)9780877036456
Publication statusPublished - 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States
Duration: 2017 Aug 202017 Aug 24

Publication series

NameAdvances in the Astronautical Sciences
ISSN (Print)0065-3438


OtherAAS/AIAA Astrodynamics Specialist Conference, 2017
Country/TerritoryUnited States

Bibliographical note

Funding Information:
This work was supported by Global Surveillance Research Center (GSRC) program funded by the Defense Acquisition Program Administration (DAPA) and Agency for Defense Development (ADD).

Publisher Copyright:
© 2018 Univelt Inc. All rights reserved.

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


Dive into the research topics of 'Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory'. Together they form a unique fingerprint.

Cite this