Vibration control of a flexible aerial refuelling hose with input saturation

Zhijie Liu, Jinkun Liu and Wei He

International Journal of Systems Science, 2017, vol. 48, issue 5, 971-983

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.

Date: 2017
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DOI: 10.1080/00207721.2016.1226983

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