An optimal control approach to spacecraft rendezvous on elliptical orbit
In this paper, we consider a linear quadratic regulator control problem for spacecraft rendezvous in an elliptical orbit. A new spacecraft rendezvous model is established. On the basis of this model, a linear quadratic regulator control problem is formulated. A parametric Lyapunov differential equat...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
John Wiley and Sons, Ltd.
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/39357 |
| _version_ | 1848755570229641216 |
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| author | Gao, Xiangyu Teo, Kok Lay Duan, Guang-Ren |
| author_facet | Gao, Xiangyu Teo, Kok Lay Duan, Guang-Ren |
| author_sort | Gao, Xiangyu |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider a linear quadratic regulator control problem for spacecraft rendezvous in an elliptical orbit. A new spacecraft rendezvous model is established. On the basis of this model, a linear quadratic regulator control problem is formulated. A parametric Lyapunov differential equation approach is used to design a state feedback controller such that the resulting closed-loop system is asymptotically stable, and the performance index is minimized. By an appropriate choice of the value of a parameter, an approximate state feedback controller is obtained from a solution to the periodic Lyapunov differential equation,where the periodic Lyapunov differential equation is solved on the basis of a new numerical algorithm. The spacecraft rendezvous mission under the controller obtained will be accomplished successfully. Several illustrative examples are provided to show the effectiveness of the proposed control design method. |
| first_indexed | 2025-11-14T08:58:24Z |
| format | Journal Article |
| id | curtin-20.500.11937-39357 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:58:24Z |
| publishDate | 2014 |
| publisher | John Wiley and Sons, Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-393572017-09-13T14:26:49Z An optimal control approach to spacecraft rendezvous on elliptical orbit Gao, Xiangyu Teo, Kok Lay Duan, Guang-Ren LQR PLDE spacecraft rendezvous numerical algorithm In this paper, we consider a linear quadratic regulator control problem for spacecraft rendezvous in an elliptical orbit. A new spacecraft rendezvous model is established. On the basis of this model, a linear quadratic regulator control problem is formulated. A parametric Lyapunov differential equation approach is used to design a state feedback controller such that the resulting closed-loop system is asymptotically stable, and the performance index is minimized. By an appropriate choice of the value of a parameter, an approximate state feedback controller is obtained from a solution to the periodic Lyapunov differential equation,where the periodic Lyapunov differential equation is solved on the basis of a new numerical algorithm. The spacecraft rendezvous mission under the controller obtained will be accomplished successfully. Several illustrative examples are provided to show the effectiveness of the proposed control design method. 2014 Journal Article http://hdl.handle.net/20.500.11937/39357 10.1002/oca.2108 John Wiley and Sons, Ltd. restricted |
| spellingShingle | LQR PLDE spacecraft rendezvous numerical algorithm Gao, Xiangyu Teo, Kok Lay Duan, Guang-Ren An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title | An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title_full | An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title_fullStr | An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title_full_unstemmed | An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title_short | An optimal control approach to spacecraft rendezvous on elliptical orbit |
| title_sort | optimal control approach to spacecraft rendezvous on elliptical orbit |
| topic | LQR PLDE spacecraft rendezvous numerical algorithm |
| url | http://hdl.handle.net/20.500.11937/39357 |