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Vibration Control of a Flexible Beam With Output Constraint
Abstract
In this paper, we present the vibration control design for a Euler-Bernoulli beam with the boundary output constraint. To prevent the constraint violation, a novel barrier Lyapunov function is employed for the control design and stability analysis. This paper represents an important step in extending the barrier Lyapunov function theory to distributed parameter systems. Model-based barrier control is proposed to suppress the vibration of a flexible Euler-Bernoulli beam under the boundary output constraint. Then, adaptive control is designed to handle the system parametric uncertainties. The vibration suppression is well achieved without violation of the constraint. Numerical simulations are provided to illustrate the performance of the control system.
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Citations
Cited by
Cooperative control of a nonuniform gantry crane with constrained tension
He, W., & Ge, S. S. (2016) · Automatica · doi:10.1016/j.automatica.2015.12.026 · Cited by 549
Self-citationCui, R., Yang, C., Li, Y., & Sharma, S. (2017) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2016.2645699 · Cited by 538
Li, D.-P., Li, D.-J., Liu, Y.-J., Tong, S., & Chen, C. L. P. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2707178 · Cited by 148
Metadata
- Authors
- He, W., & Ge, S. S.
- Venue
- IEEE Transactions on Industrial Electronics
- Published
- 2015-08
- Volume
- 62
- Issue
- 8
- Pages
- 5023-5030
- ISSN
- 0278-0046 (ISSN-L)
- 1557-9948
- OpenAlex
- W2082526944
- Cited by
- 327
- References
- 0
- FWCI
- 58.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- He, W., & Ge, S. S. (2015). Vibration Control of a Flexible Beam With Output Constraint. IEEE Transactions on Industrial Electronics. https://doi.org/10.1109/tie.2015.2400427
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