Abstract
To deal with the vibration problem of the solar power satellite (SPS), the distributed vibration control approach is investigated in this paper. Taking the Multi-Rotary joints SPS as the research objective, the control unit (CU) and the location relationship matrix are firstly defined for distributed controller design according to the configuration of SPS. The dynamic model of each CU is therefore established based on the finite element method. The dynamic model of the whole SPS structure is then developed using the CU models, and is updated along with on-orbit assembly. The distributed cooperative controller, using proportional and differential feedback and the interaction feedback among adjacent CUs, is proposed to suppress vibration. The close-loop distributed cooperative control system is then achieved by integrating all distributed controllers, and the asymptotic stability is proofed by the Lyapunov’s stability theorem. To verify the feasibility of the proposed control system, three numerical cases are finally presented. The results demonstrate that the distributed cooperative controllers can effectively suppress vibration during on-orbit assembly and operation after assembly, and the closed-loop system has good fault tolerance.
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11 February 2022
A Correction to this paper has been published: https://doi.org/10.1007/s42064-022-0136-2
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11432010 and 11502040), and the Fundamental Research Funds for the Central Universities of China (Grant No. DUT18GF304).
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Enmei Wang is now a candidate Ph.D. at Dalian University of Technology in Dalian, China. She obtained her B.S. degree in computer science and technology from Dongbei University of Finance and Economics and joined the School of Aeronautics and Astronautics in Dalian University of Technology in 2013. Her research interests include the dynamics modelling and distributed control of large space structures.
Shunan Wu is now an associate professor at the School of Aeronautics and Astronautics, Dalian University of Technology, China. He received his Ph.D. degree in aerospace science and technology from Harbin Institute of Technology in 2012. His research interests include dynamics and control of large space structure.
Yufei Liu is now a senior engineer at the Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology. He received his Ph.D. degree in deep space exploration dynamics and control from Harbin Institute of Technology in 2007. His research interests include dynamics and control of large space structure, deep space exploration technologies.
Zhigang Wu is now a professor at the State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, China. He received his Ph.D. degree in flight vehicle design from Harbin Institute of Technology, in 1998. Professor Wu’s research interests include dynamics and control of aircraft, numerical method applying on the optimal control and robust control.
Xiangdong Liu is now a professor in the School of Automation, Beijing Institute of Technology, China. He received his Ph.D. degree in flight vehicle design from Harbin Institute of Technology in 1998. Professor Liu’s research interests include nonlinear control, robust control and estimation, servo systems, macro/nano positioning, attitude control, formation flying, and multi-agent systems.
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Wang, E., Wu, S., Liu, Y. et al. Distributed vibration control of a large solar power satellite. Astrodyn 3, 189–203 (2019). https://doi.org/10.1007/s42064-018-0046-5
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DOI: https://doi.org/10.1007/s42064-018-0046-5