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Global finite-time set stabilization of spacecraft attitude with disturbances using second-order sliding mode control

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A Correction to this article was published on 21 February 2022

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Abstract

The performance of attitude stabilization control algorithms for rigid spacecraft can be limited by disturbances. In this paper, the global finite-time attitude stabilization problem with disturbances is investigated and handled by constructing a second-order sliding mode controller. Firstly, a virtual controller based on set stabilization idea is constructed to globally finite-time stabilize the system. Then, a relay polynomial second-order sliding mode controller is constructed to guarantee that the tracking error toward the virtual controller will converge to zero in finite-time. Finite-time Lyapunov theory is applied to support the proof and stability analysis. The global finite-time stability holds even with bounded disturbances. The effectiveness and feasibility of the controller are illustrated by the numerical simulations.

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The authors declare that all other data supporting the findings of this study are available within the article. Source data for figures are provided with the paper.

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Acknowledgements

The work was supported in part by the National Natural Science Foundation of China under Grant (No. 62103102, 61973081, and 62173221), in part by Natural Science Foundation of Jiangsu under Grants (No. BK202210213), in part by China Postdoctoral Science Foundation (No. 2021M70077), in part by Jiangsu Postdoctoral Research Funding Program (No. 2021K009A).

Funding

We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled Global Finite-Time Set Stabilization of Spacecraft Attitude with Disturbances using Second-Order Sliding Mode Control.

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  1. Zeyu Guo and Shihua Li these authors contributed equally to this work.

Authors and Affiliations

  1. School of Automation, Southeast University, Nanjing, 210096, People’s Republic of China

    Zeyu Guo, Zuo Wang & Shihua Li

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Nanjing, 210096, People’s Republic of China

    Zeyu Guo, Zuo Wang & Shihua Li

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  1. Zeyu Guo
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  2. Zuo Wang
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Correspondence to Zuo Wang.

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Guo, Z., Wang, Z. & Li, S. Global finite-time set stabilization of spacecraft attitude with disturbances using second-order sliding mode control. Nonlinear Dyn 108, 1305–1318 (2022). https://doi.org/10.1007/s11071-022-07245-5

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