Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions
Abstract In this article, the optimal attitude consensus control problem of distributed spacecraft formation through local information exchange is solved in the presence of parameter uncertainty and disturbance. The attitude dynamics model of rigid spacecraft formation is established based on unit q...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-08-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12513 |
| _version_ | 1797756513944600576 |
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| author | Hui Wang Jinxiu Zhang Qingrui Zhou Hui‐Jie Sun Yu‐Yao Wu |
| author_facet | Hui Wang Jinxiu Zhang Qingrui Zhou Hui‐Jie Sun Yu‐Yao Wu |
| author_sort | Hui Wang |
| collection | DOAJ |
| description | Abstract In this article, the optimal attitude consensus control problem of distributed spacecraft formation through local information exchange is solved in the presence of parameter uncertainty and disturbance. The attitude dynamics model of rigid spacecraft formation is established based on unit quaternion under an undirected graph. Then, the optimal attitude consensus control scheme based on control Lyapunov functions is adopted for rigid spacecraft formation. The approach to construct an appropriate Lyapunov function for multiple spacecraft is developed. Then the lumped disturbance is estimated by an extended state observer (ESO) and using the sliding mode control approach improves the robustness of the controller. The proposed optimal controller can not only ensure the global consensus convergence of the system but also make the preset performance index function achieve the minimum value. In addition, the mathematical proof is given for the stability analysis of the system by the Lyapunov stability theory. Finally, some simulations and comparisons are presented to demonstrate the validity and advantages of the proposed controller. |
| first_indexed | 2024-03-12T18:01:32Z |
| format | Article |
| id | doaj.art-8585a812cfea4a9d82756b286358a798 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-03-12T18:01:32Z |
| publishDate | 2023-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-8585a812cfea4a9d82756b286358a7982023-08-02T09:59:50ZengWileyIET Control Theory & Applications1751-86441751-86522023-08-0117121720173110.1049/cth2.12513Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functionsHui Wang0Jinxiu Zhang1Qingrui Zhou2Hui‐Jie Sun3Yu‐Yao Wu4Shenzhen Campus of Sun Yat‐sen University ShenzhenGuangdongP.R. ChinaShenzhen Campus of Sun Yat‐sen University ShenzhenGuangdongP.R. ChinaQian Xuesen Laboratory of Space Technology China Academy of Space Technology BeijingP.R. ChinaShenzhen Campus of Sun Yat‐sen University ShenzhenGuangdongP.R. ChinaShenzhen Campus of Sun Yat‐sen University ShenzhenGuangdongP.R. ChinaAbstract In this article, the optimal attitude consensus control problem of distributed spacecraft formation through local information exchange is solved in the presence of parameter uncertainty and disturbance. The attitude dynamics model of rigid spacecraft formation is established based on unit quaternion under an undirected graph. Then, the optimal attitude consensus control scheme based on control Lyapunov functions is adopted for rigid spacecraft formation. The approach to construct an appropriate Lyapunov function for multiple spacecraft is developed. Then the lumped disturbance is estimated by an extended state observer (ESO) and using the sliding mode control approach improves the robustness of the controller. The proposed optimal controller can not only ensure the global consensus convergence of the system but also make the preset performance index function achieve the minimum value. In addition, the mathematical proof is given for the stability analysis of the system by the Lyapunov stability theory. Finally, some simulations and comparisons are presented to demonstrate the validity and advantages of the proposed controller.https://doi.org/10.1049/cth2.12513aerospace controlattitude controldistributed controlLyapunov methodsnon‐linear control systemsoptimal control |
| spellingShingle | Hui Wang Jinxiu Zhang Qingrui Zhou Hui‐Jie Sun Yu‐Yao Wu Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions IET Control Theory & Applications aerospace control attitude control distributed control Lyapunov methods non‐linear control systems optimal control |
| title | Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions |
| title_full | Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions |
| title_fullStr | Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions |
| title_full_unstemmed | Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions |
| title_short | Optimal attitude consensus control for rigid spacecraft formation based on control Lyapunov functions |
| title_sort | optimal attitude consensus control for rigid spacecraft formation based on control lyapunov functions |
| topic | aerospace control attitude control distributed control Lyapunov methods non‐linear control systems optimal control |
| url | https://doi.org/10.1049/cth2.12513 |
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