Vibration Control of a Flexible Beam With Output Constraint
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 extendin...
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| Published in | IEEE transactions on industrial electronics (1982) Vol. 62; no. 8; pp. 5023 - 5030 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.08.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| 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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| AbstractList | 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. |
| Author | Shuzhi Sam Ge Wei He |
| Author_xml | – sequence: 1 givenname: Wei surname: He fullname: He, Wei – sequence: 2 givenname: Shuzhi Sam surname: Ge fullname: Ge, Shuzhi Sam |
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| CODEN | ITIED6 |
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| Snippet | 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... |
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| SubjectTerms | Adaptation models Barriers Boundaries Boundary conditions Boundary Control Design engineering Distributed Parameter System Euler-Bernoulli Beam Euler-Bernoulli beams Flexible Structure Lyapunov functions Lyapunov methods Mathematical model Mathematical models Noise Output Constraint Payloads Vibration Vibration Control Vibrations |
| Title | Vibration Control of a Flexible Beam With Output Constraint |
| URI | https://ieeexplore.ieee.org/document/7031915 https://www.proquest.com/docview/1692237414 https://www.proquest.com/docview/1718930764 |
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