Three-dimensional vibration suppression for an Euler–Bernoulli beam with asymmetric output constraint
A vibration control strategy is addressed for the three-dimensional vibration suppression of an Euler-Bernoulli beam (EBB) subject to asymmetric output constraints in this paper. A special piecewise barrier Lyapunov function candidate is provided to prevent the asymmetric output constraint violation...
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| Published in | Journal of the Franklin Institute Vol. 358; no. 7; pp. 3470 - 3490 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.05.2021
Elsevier Science Ltd |
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| Online Access | Get full text |
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| Abstract | A vibration control strategy is addressed for the three-dimensional vibration suppression of an Euler-Bernoulli beam (EBB) subject to asymmetric output constraints in this paper. A special piecewise barrier Lyapunov function candidate is provided to prevent the asymmetric output constraint violation, and a model-based boundary control (MBC) is developed subsequently to ensure the coupled vibration reduction. Moreover, considering the parameter uncertainties, an adaptive law is designed to estimate the uncertain parameter and to update the vibration controller. The main challenge of this work is to consider the asymmetric output constraint in a nonlinear and coupled infinite-dimensional system. Finally, numerical simulations are made to present the system performance under the proposed vibration controllers which maintain the output being restrained in the predefined scope. |
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| AbstractList | A vibration control strategy is addressed for the three-dimensional vibration suppression of an Euler-Bernoulli beam (EBB) subject to asymmetric output constraints in this paper. A special piecewise barrier Lyapunov function candidate is provided to prevent the asymmetric output constraint violation, and a model-based boundary control (MBC) is developed subsequently to ensure the coupled vibration reduction. Moreover, considering the parameter uncertainties, an adaptive law is designed to estimate the uncertain parameter and to update the vibration controller. The main challenge of this work is to consider the asymmetric output constraint in a nonlinear and coupled infinite-dimensional system. Finally, numerical simulations are made to present the system performance under the proposed vibration controllers which maintain the output being restrained in the predefined scope. |
| Author | Liu, Zhijie Zhang, Shuang He, Xiuyu Jing, Zhe Kang, Wen |
| Author_xml | – sequence: 1 givenname: Zhe surname: Jing fullname: Jing, Zhe organization: Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing 100083, China – sequence: 2 givenname: Xiuyu surname: He fullname: He, Xiuyu email: xiuyuhe@ieee.org organization: Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing 100083, China – sequence: 3 givenname: Zhijie surname: Liu fullname: Liu, Zhijie organization: Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing 100083, China – sequence: 4 givenname: Shuang surname: Zhang fullname: Zhang, Shuang organization: Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing 100083, China – sequence: 5 givenname: Wen surname: Kang fullname: Kang, Wen organization: Institute of Artificial Intelligence, University of Science and Technology Beijing, Beijing 100083, China |
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| SubjectTerms | Asymmetry Boundary control Constraint modelling Controllers Euler-Bernoulli beams Eulers equations Liapunov functions Nonlinear systems Parameter estimation Parameter uncertainty Vibration Vibration analysis Vibration control |
| Title | Three-dimensional vibration suppression for an Euler–Bernoulli beam with asymmetric output constraint |
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