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Vibration control of a flexible aerial refuelling hose with input saturation

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  • Zhijie Liu
  • Jinkun Liu
  • Wei He

Abstract

In this study, we consider a boundary control problem of a flexible aerial refuelling hose in the presence of input saturation. To provide an accurate and concise representation of the hose's behaviour, the flexible hose is modelled as a distributed parameter system described by partial differential equations (PDEs). By using the backstepping method, a boundary control scheme is proposed based on the original PDEs to regulate the hose's vibration. An auxiliary system based on a smooth hyperbolic function and a Nussbaum function is designed to handle the effect of the input saturation. Then based on Lyapunov's direct method, the state of the system is proven to converge to a small neighbourhood of zero by appropriately choosing design parameters. Finally, the results are illustrated using numerical simulations for control performance verification.

Suggested Citation

  • Zhijie Liu & Jinkun Liu & Wei He, 2017. "Vibration control of a flexible aerial refuelling hose with input saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 971-983, April.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:971-983
    DOI: 10.1080/00207721.2016.1226983
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    References listed on IDEAS

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    1. M. Vakil & R. Fotouhi & P.N. Nikiforuk, 2011. "End-effector trajectory tracking of a flexible link manipulator using integral manifold concept," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 2057-2069.
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    Cited by:

    1. Zhijia Zhao & Yonghao Ma & Guiyun Liu & Dachang Zhu & Guilin Wen, 2019. "Vibration Control of an Axially Moving System with Restricted Input," Complexity, Hindawi, vol. 2019, pages 1-10, January.
    2. Jianing Zhang & Ge Ma & Zhifu Li, 2018. "Boundary Robust Adaptive Control of a Flexible Timoshenko Manipulator," Complexity, Hindawi, vol. 2018, pages 1-10, November.
    3. Ren, Yong & Li, Kun & Ye, Hui, 2020. "Modeling and anti-swing control for a helicopter slung-load system," Applied Mathematics and Computation, Elsevier, vol. 372(C).

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    1. Zhijie Liu & Jinkun Liu & Wei He, 2017. "Partial differential equation boundary control of a flexible manipulator with input saturation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 53-62, January.

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