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 |
|---|---|
| Pages (from-to) | 688-695 |
| Number of pages | 8 |
| Journal | Aerospace Science and Technology |
| Volume | 77 |
| DOIs | |
| Publication status | Published - 2018 Jun 1 |
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All Science Journal Classification (ASJC) codes
- Aerospace Engineering
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Real-time collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton–Jacobi theory. / Lee, Kwangwon; Park, Chandeok; Eun, Youngho.
In: Aerospace Science and Technology, Vol. 77, 01.06.2018, p. 688-695.Research output: Contribution to journal › Article
TY - JOUR
T1 - Real-time collision avoidance maneuvers for spacecraft proximity operations via discrete-time Hamilton–Jacobi theory
AU - Lee, Kwangwon
AU - Park, Chandeok
AU - Eun, Youngho
PY - 2018/6/1
Y1 - 2018/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85045647415&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85045647415&partnerID=8YFLogxK
U2 - 10.1016/j.ast.2018.04.010
DO - 10.1016/j.ast.2018.04.010
M3 - Article
AN - SCOPUS:85045647415
VL - 77
SP - 688
EP - 695
JO - Aerospace Science and Technology
JF - Aerospace Science and Technology
SN - 1270-9638
ER -