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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 15
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Articles

Stabilization for a cable with tip mass under boundary input disturbance

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Pages 4359-4375 | Received 25 Jun 2021, Accepted 16 Nov 2021, Published online: 13 Aug 2022
 

Abstract

The stabilization problem for a cable with tip mass subject to boundary input disturbance is concerned in this paper. First, a nonlinear feedback controller is designed using sliding mode control method to reject the disturbance. Second, observation blind point which leads to zero output is found in this system. Third, the existence of the solution is obtained based on the solvability of a class of variational equations. Finally, by the LaSalle's Invariance Principle-like together with the observation blind point theory, we show the closed loop system converges asymptotically to zero.

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Acknowledgements

The authors would like to thank the referees for their useful and helpful comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [NSFC-61903005, 61503276, 61773277].

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