Stochastic boundary control design for Timoshenko beams with large motions
This paper considers modeling and boundary control of Timoshenko beams with large motions under both deterministic and stochastic external loads. The original nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The control design is base...
| Main Author: | |
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| Format: | Journal Article |
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Elsevier Ltd
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/61528 |
| _version_ | 1848760691494748160 |
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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 | This paper considers modeling and boundary control of Timoshenko beams with large motions under both deterministic and stochastic external loads. The original nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The control design is based on the Lyapunov direct method. The proposed controllers guarantee globally practically K 8 -exponentially p-stability of the beam motions at the reference state. Well-posedness and stability are analyzed based on a Lyapunov-type theorem developed to study well-posedness and stability for a class of stochastic evolution systems in Hilbert space. Simulation results are included to illustrate the effectiveness of the proposed control design. |
| first_indexed | 2025-11-14T10:19:48Z |
| format | Journal Article |
| id | curtin-20.500.11937-61528 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:19:48Z |
| publishDate | 2017 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-615282018-07-09T01:55:47Z Stochastic boundary control design for Timoshenko beams with large motions Do, Khac Duc This paper considers modeling and boundary control of Timoshenko beams with large motions under both deterministic and stochastic external loads. The original nonlinear partial differential equations governing motion of the beams are derived and used in the control design. The control design is based on the Lyapunov direct method. The proposed controllers guarantee globally practically K 8 -exponentially p-stability of the beam motions at the reference state. Well-posedness and stability are analyzed based on a Lyapunov-type theorem developed to study well-posedness and stability for a class of stochastic evolution systems in Hilbert space. Simulation results are included to illustrate the effectiveness of the proposed control design. 2017 Journal Article http://hdl.handle.net/20.500.11937/61528 10.1016/j.jsv.2017.05.003 Elsevier Ltd restricted |
| spellingShingle | Do, Khac Duc Stochastic boundary control design for Timoshenko beams with large motions |
| title | Stochastic boundary control design for Timoshenko beams with large motions |
| title_full | Stochastic boundary control design for Timoshenko beams with large motions |
| title_fullStr | Stochastic boundary control design for Timoshenko beams with large motions |
| title_full_unstemmed | Stochastic boundary control design for Timoshenko beams with large motions |
| title_short | Stochastic boundary control design for Timoshenko beams with large motions |
| title_sort | stochastic boundary control design for timoshenko beams with large motions |
| url | http://hdl.handle.net/20.500.11937/61528 |