Sub-optimal cooperative collision avoidance maneuvers of multiple active spacecraft via discrete-time generating functions

Kwangwon Lee, Hyeongjun Park, Chandeok Park, Sang Young Park

Research output: Contribution to journalArticle

Abstract

This study presents real-time sub-optimal control for cooperative collision-free transfers of multiple active (actuated) spacecraft in proximity operations. The constrained optimal control problem for collision-free transfers of multiple active spacecraft is decentralized and approximated as an unconstrained optimal control problem for single active spacecraft to mitigate the complexity and difficulty. The new penalty function is proposed by considering relative velocities for cooperative maneuvers between multiple active spacecraft, and is integrated with the quadratic cost function for optimal tracking by continuous-thrust control instead of the inequality constraints for avoiding collision. Then, the infinite-horizon control law applicable to each of multiple active spacecraft is obtained as an algebraic function of the states of both 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. Illustrative examples demonstrate the effectiveness of the proposed approach with the new penalty function especially in simultaneous collision avoidance maneuvers of multiple active spacecraft.

Original languageEnglish
Article number105298
JournalAerospace Science and Technology
Volume93
DOIs
Publication statusPublished - 2019 Oct

Fingerprint

Collision avoidance
Spacecraft
Cost functions

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

Cite this

@article{3244745f11e248b98ee598c254f07d53,
title = "Sub-optimal cooperative collision avoidance maneuvers of multiple active spacecraft via discrete-time generating functions",
abstract = "This study presents real-time sub-optimal control for cooperative collision-free transfers of multiple active (actuated) spacecraft in proximity operations. The constrained optimal control problem for collision-free transfers of multiple active spacecraft is decentralized and approximated as an unconstrained optimal control problem for single active spacecraft to mitigate the complexity and difficulty. The new penalty function is proposed by considering relative velocities for cooperative maneuvers between multiple active spacecraft, and is integrated with the quadratic cost function for optimal tracking by continuous-thrust control instead of the inequality constraints for avoiding collision. Then, the infinite-horizon control law applicable to each of multiple active spacecraft is obtained as an algebraic function of the states of both 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. Illustrative examples demonstrate the effectiveness of the proposed approach with the new penalty function especially in simultaneous collision avoidance maneuvers of multiple active spacecraft.",
author = "Kwangwon Lee and Hyeongjun Park and Chandeok Park and Park, {Sang Young}",
year = "2019",
month = "10",
doi = "10.1016/j.ast.2019.07.031",
language = "English",
volume = "93",
journal = "Aerospace Science and Technology",
issn = "1270-9638",
publisher = "Elsevier Masson SAS",

}

TY - JOUR

T1 - Sub-optimal cooperative collision avoidance maneuvers of multiple active spacecraft via discrete-time generating functions

AU - Lee, Kwangwon

AU - Park, Hyeongjun

AU - Park, Chandeok

AU - Park, Sang Young

PY - 2019/10

Y1 - 2019/10

N2 - This study presents real-time sub-optimal control for cooperative collision-free transfers of multiple active (actuated) spacecraft in proximity operations. The constrained optimal control problem for collision-free transfers of multiple active spacecraft is decentralized and approximated as an unconstrained optimal control problem for single active spacecraft to mitigate the complexity and difficulty. The new penalty function is proposed by considering relative velocities for cooperative maneuvers between multiple active spacecraft, and is integrated with the quadratic cost function for optimal tracking by continuous-thrust control instead of the inequality constraints for avoiding collision. Then, the infinite-horizon control law applicable to each of multiple active spacecraft is obtained as an algebraic function of the states of both 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. Illustrative examples demonstrate the effectiveness of the proposed approach with the new penalty function especially in simultaneous collision avoidance maneuvers of multiple active spacecraft.

AB - This study presents real-time sub-optimal control for cooperative collision-free transfers of multiple active (actuated) spacecraft in proximity operations. The constrained optimal control problem for collision-free transfers of multiple active spacecraft is decentralized and approximated as an unconstrained optimal control problem for single active spacecraft to mitigate the complexity and difficulty. The new penalty function is proposed by considering relative velocities for cooperative maneuvers between multiple active spacecraft, and is integrated with the quadratic cost function for optimal tracking by continuous-thrust control instead of the inequality constraints for avoiding collision. Then, the infinite-horizon control law applicable to each of multiple active spacecraft is obtained as an algebraic function of the states of both 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. Illustrative examples demonstrate the effectiveness of the proposed approach with the new penalty function especially in simultaneous collision avoidance maneuvers of multiple active spacecraft.

UR - http://www.scopus.com/inward/record.url?scp=85069696979&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85069696979&partnerID=8YFLogxK

U2 - 10.1016/j.ast.2019.07.031

DO - 10.1016/j.ast.2019.07.031

M3 - Article

AN - SCOPUS:85069696979

VL - 93

JO - Aerospace Science and Technology

JF - Aerospace Science and Technology

SN - 1270-9638

M1 - 105298

ER -