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 fi xed 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.

My Driss Aouragh;Mohamed Nahli

Maths Department,AM2CSI Group,MSISI Laboratory,FST Errachidia,Moulay Ismail University of Meknes,PO.BOX 509 Boutalamine,Errachidia 52000,Draa-Tafi lalet,Morocco;AM2CSI Group,MSISI Laboratory,FST Errachidia,Moulay Ismail University of Meknes,PO.BOX 509 Boutalamine,Errachidia 52000,Draa-Tafi lalet,Morocco

控制理论与技术（英文版）

[1]My Driss Aouragh;Mohamed Nahli-.Stabilization of an axially moving tape system with boundary disturbances via the ADRC approach)[J].控制理论与技术（英文版）,2022(03):349-360

xed

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