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Vibration Control of a String System with Constraints

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Advances in Guidance, Navigation and Control

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 644))

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Abstract

We introduce a control algorithm for vibration isolation in a string-type structure, and we take the nonlinear constraints of input as well as output which often encounter in most physical systems into consideration in this study. The implementation of the proposed controller is achieved by employing the backstepping technique. It is proven by Lyapunov theory that the control scheme is effective to dampen the vibration and cope with the nonlinear constraints of the string system. We show that the system stability can be ensured at the same time. Finally, the simulation results manifest the effectiveness of the control approach.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61803109, in part by the Innovative School Project of Education Department of Guangdong under Grant 2017KQNCX153, and in part by the Science and Technology Planning Project of Guangzhou City under Grant 201904010494.

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Correspondence to Zhijia Zhao .

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Zhang, J., Liu, Y., Yang, X., Zhao, Z. (2022). Vibration Control of a String System with Constraints. In: Yan, L., Duan, H., Yu, X. (eds) Advances in Guidance, Navigation and Control . Lecture Notes in Electrical Engineering, vol 644. Springer, Singapore. https://doi.org/10.1007/978-981-15-8155-7_152

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