Abstract
This study presents a sub-optimal feedback control that implements real-time collision avoidance for spacecraft in proximity operations. The penalty function for avoiding collision with obstacles is first incorporated into the performance index of a typical optimal tracking problem. Then, the infinite-horizon feedback control law is derived by employing generating functions in the framework of discrete-time Hamilton–Jacobi theory. The derived control law, which is an explicit function of the reference states and instantaneous positions of obstacles, allows active spacecraft to avoid collision in real-time. The proposed approach has advantages over conventional optimal collision avoidance approaches in that it does not require iterations with initial guesses, repetitive shooting-based process for multiple boundary conditions, and/or trajectories of obstacles to be known a priori. Numerical simulations demonstrate that the proposed algorithm with a properly designed penalty function is suitable for implementing optimal collision-free transfers in real-time.
Original language | English |
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Pages (from-to) | 688-695 |
Number of pages | 8 |
Journal | Aerospace Science and Technology |
Volume | 77 |
DOIs | |
Publication status | Published - 2018 Jun |
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).
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 ).
All Science Journal Classification (ASJC) codes
- Aerospace Engineering