Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback
Boundary feedback controllers are designed to stabilize Timoshenko beams with large translational and rotational motions in space under external disturbances. The exact nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The designed con...
| Main Author: | |
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| Format: | Journal Article |
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Elsevier Ltd
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/69590 |
| _version_ | 1848762081063469056 |
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| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Boundary feedback controllers are designed to stabilize Timoshenko beams with large translational and rotational motions in space under external disturbances. The exact nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The designed controllers guarantee globally practically asymptotically (and locally practically exponentially) stability of the beam motions at the reference state. The control design, well-posedness and stability analysis are based on various relationships between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed to study well-posedness and stability for a class of evolution systems in Hilbert space. Simulation results are included to illustrate the effectiveness of the proposed control design. |
| first_indexed | 2025-11-14T10:41:53Z |
| format | Journal Article |
| id | curtin-20.500.11937-69590 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:41:53Z |
| publishDate | 2018 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-695902021-01-13T03:09:38Z Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback Do, Khac Duc Boundary feedback controllers are designed to stabilize Timoshenko beams with large translational and rotational motions in space under external disturbances. The exact nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The designed controllers guarantee globally practically asymptotically (and locally practically exponentially) stability of the beam motions at the reference state. The control design, well-posedness and stability analysis are based on various relationships between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed to study well-posedness and stability for a class of evolution systems in Hilbert space. Simulation results are included to illustrate the effectiveness of the proposed control design. 2018 Journal Article http://hdl.handle.net/20.500.11937/69590 10.1016/j.jsv.2018.02.005 http://creativecommons.org/licenses/by/4.0/ Elsevier Ltd fulltext |
| spellingShingle | Do, Khac Duc Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title | Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title_full | Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title_fullStr | Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title_full_unstemmed | Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title_short | Stabilization of exact nonlinear Timoshenko beams in space by boundary feedback |
| title_sort | stabilization of exact nonlinear timoshenko beams in space by boundary feedback |
| url | http://hdl.handle.net/20.500.11937/69590 |