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)

Abstract

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
PublisherUnivelt Inc.
Pages911-920
Number of pages10
Volume162
ISBN (Print)9780877036456
Publication statusPublished - 2018 Jan 1
EventAAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States
Duration: 2017 Aug 202017 Aug 24

Other

OtherAAS/AIAA Astrodynamics Specialist Conference, 2017
CountryUnited States
CityStevenson
Period17/8/2017/8/24

Fingerprint

collision avoidance
maneuvers
Collision avoidance
Spacecraft
proximity
spacecraft
collision
collisions
penalty function
tracking problem
trajectory
Trajectories
optimal control
Computer simulation
horizon
simulation
trajectories

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Lee, K., Eun, Y., & Park, C. (2018). Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory. In ASTRODYNAMICS 2017 (Vol. 162, pp. 911-920). Univelt Inc..
Lee, Kwangwon ; Eun, Youngho ; Park, Chandeok. / Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory. ASTRODYNAMICS 2017. Vol. 162 Univelt Inc., 2018. pp. 911-920
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Lee, K, Eun, Y & Park, C 2018, Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory. in ASTRODYNAMICS 2017. vol. 162, Univelt Inc., pp. 911-920, AAS/AIAA Astrodynamics Specialist Conference, 2017, Stevenson, United States, 17/8/20.

Optimal collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton-Jacobi theory. / Lee, Kwangwon; Eun, Youngho; Park, Chandeok.

ASTRODYNAMICS 2017. Vol. 162 Univelt Inc., 2018. p. 911-920.

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

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