Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions

Kwangwon Lee; Chandeok Park

doi:10.1109/MED.2018.8443051

Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions

Kwangwon Lee, Chandeok Park

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

This study presents sub-optimal collision-free transfers of spacecraft subject to constraints on control magnitude. In order to mitigate the difficulty in solving an optimal control problem considering directly inequality constraints, the penalty and barrier functions are incorporated into the cost function of optimal tracking problem. Then, the sub-optimal control law is derived by employing the discrete-time generating functions representing the canonical transformation in the discrete-time Hamilton-Jacobi theory. The proposed approach allows us to derive the control law as an algebraic form of the states of spacecraft, reference solution, and obstacles without any iterative process and initial guess. The numerical simulations validate the proposed approach by showing that spacecraft can reach the target point while avoiding obstacles with constrained control.

Original language	English
Title of host publication	MED 2018 - 26th Mediterranean Conference on Control and Automation
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	565-569
Number of pages	5
ISBN (Print)	9781538678909
DOIs	https://doi.org/10.1109/MED.2018.8443051
Publication status	Published - 2018 Aug 20
Event	26th Mediterranean Conference on Control and Automation, MED 2018 - Zadar, Croatia Duration: 2018 Jun 19 → 2018 Jun 22

Publication series

Name	MED 2018 - 26th Mediterranean Conference on Control and Automation

Other

Other	26th Mediterranean Conference on Control and Automation, MED 2018
Country/Territory	Croatia
City	Zadar
Period	18/6/19 → 18/6/22

Bibliographical note

Publisher Copyright:
© 2018 IEEE.

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Control and Systems Engineering
Mechanical Engineering
Control and Optimization

Access to Document

10.1109/MED.2018.8443051

Cite this

Lee, K., & Park, C. (2018). Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions. In MED 2018 - 26th Mediterranean Conference on Control and Automation (pp. 565-569). Article 8443051 (MED 2018 - 26th Mediterranean Conference on Control and Automation). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2018.8443051

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Lee, K & Park, C 2018, Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions. in MED 2018 - 26th Mediterranean Conference on Control and Automation., 8443051, MED 2018 - 26th Mediterranean Conference on Control and Automation, Institute of Electrical and Electronics Engineers Inc., pp. 565-569, 26th Mediterranean Conference on Control and Automation, MED 2018, Zadar, Croatia, 18/6/19. https://doi.org/10.1109/MED.2018.8443051

Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions. / Lee, Kwangwon; Park, Chandeok.
MED 2018 - 26th Mediterranean Conference on Control and Automation. Institute of Electrical and Electronics Engineers Inc., 2018. p. 565-569 8443051 (MED 2018 - 26th Mediterranean Conference on Control and Automation).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - This study presents sub-optimal collision-free transfers of spacecraft subject to constraints on control magnitude. In order to mitigate the difficulty in solving an optimal control problem considering directly inequality constraints, the penalty and barrier functions are incorporated into the cost function of optimal tracking problem. Then, the sub-optimal control law is derived by employing the discrete-time generating functions representing the canonical transformation in the discrete-time Hamilton-Jacobi theory. The proposed approach allows us to derive the control law as an algebraic form of the states of spacecraft, reference solution, and obstacles without any iterative process and initial guess. The numerical simulations validate the proposed approach by showing that spacecraft can reach the target point while avoiding obstacles with constrained control.

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Spacecraft Collision Avoidance with Constrained Control via Discrete-Time Generating Functions

Abstract

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All Science Journal Classification (ASJC) codes

Access to Document

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