| This Paper:Browse 398 Download 0 |
码上扫一扫！ |
| Stabilization of an axially moving tape system with boundary disturbances via the ADRC approach |
| MyDrissAouragh1,MohamedNahli2 |
|
|
| (1 Maths Department, AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia 52000, Draa-Tafilalet, Morocco;2 AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia 52000, Draa-Tafilalet, Morocco) |
|
| 摘要: |
| 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. |
| 关键词: Axially moving beam · Hybrid system · Active disturbance rejection control · Boundary disturbances · Exponential stabilization |
| DOI：https://doi.org/10.1007/s11768-022-00105-y |
|
| 基金项目: |
|
| Stabilization of an axially moving tape system with boundary disturbances via the ADRC approach |
| My Driss Aouragh1,Mohamed Nahli2 |
| (1 Maths Department, AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia 52000, Draa-Tafilalet, Morocco;2 AM2CSI Group, MSISI Laboratory, FST Errachidia, Moulay Ismail University of Meknes, PO. BOX 509 Boutalamine, Errachidia 52000, Draa-Tafilalet, Morocco) |
| 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. |
| Key words: Axially moving beam · Hybrid system · Active disturbance rejection control · Boundary disturbances · Exponential stabilization |
