Abstract
In this paper, we concentrate on the vibration suppression of an axially moving string system subject to the restrained boundary tension. By introducing an appropriate barrier Lyapunov function, a boundary control is constructed to stabilize the vibration and insure that the boundary tension is maintained within limits. The derived control can guarantee the uniformly bounded stability of the closed-loop system and the satisfaction of the boundary tension constraint. Finally, the simulations validate the results.
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Acknowledgments
This work was supported in part by the National Natural Science Foundation of China (U1601204, 61603105), the Science and Technology Planning Project of Guangdong Province (2016B090912003, 2016B090927010, 2016B010126001, 2015B010101003, 2015B010919003), and by the Fundamental Research Funds for the Central Universities of SCUT (2017ZD058).
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Zhao, Z., Liu, Y., Sun, K. (2017). Vibration Suppression of an Axially Moving System with Restrained Boundary Tension. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10639. Springer, Cham. https://doi.org/10.1007/978-3-319-70136-3_28
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DOI: https://doi.org/10.1007/978-3-319-70136-3_28
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