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Stabilization of an axially moving tape system with boundary disturbances via the ADRC approach

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Abstract

In this paper, the boundary stabilization problem of an axially moving tape system is considered. The tape moves between two sets of rollers, where the right roller is fixed and the left roller, with its mass taken into account, is free to move, rotate, and subject to external disturbances. The active disturbance rejection control approach is adopted in the investigation. First, extended state observers are designed to estimate the disturbances, and then, feedback controllers are proposed to cancel the effect of the disturbances. The well-posedness of the closed-loop system is proved by the semigroup theory. Furthermore, the exponential stability is achieved by constructing a suitable Lyapunov function. Finally, numerical simulations are given to support these results.

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Authors and Affiliations

  1. Maths Department, AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia, 52000, Drâa-Tafilalet, Morocco

    My Driss Aouragh

  2. AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia, 52000, Drâa-Tafilalet, Morocco

    Mohamed Nahli

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  1. My Driss Aouragh
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Correspondence to Mohamed Nahli.

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Aouragh, M.D., Nahli, M. Stabilization of an axially moving tape system with boundary disturbances via the ADRC approach. Control Theory Technol. 20, 349–360 (2022). https://doi.org/10.1007/s11768-022-00105-y

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