Boundary tracking control of flexible beams for transferring motions
© 2020 Informa UK Limited, trading as Taylor & Francis Group. Although flexible beams for transmitting both translational and rotational large motions are used in practice such as ocean drill pipes, their control has not been considered. This paper develops boundary feedback controllers to sta...
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| Format: | Journal Article |
| Language: | English |
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TAYLOR & FRANCIS LTD
2020
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| Online Access: | http://hdl.handle.net/20.500.11937/81344 |
| _version_ | 1848764351973949440 |
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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 | © 2020 Informa UK Limited, trading as Taylor & Francis Group. Although flexible beams for transmitting both translational and rotational large motions are used in practice such as ocean drill pipes, their control has not been considered. This paper develops boundary feedback controllers to stabilise these beams at their reference configurations. Exact nonlinear partial differential equations governing motion of the beams in three-dimensional space are derived and used in the control design. The designed controllers guarantee globally practically asymptotically stability of the beam motions at the reference states (i.e. positions and rotations of a straight beam moving axially with a desired velocity and rotating around its axial axis with a desired velocity). In the control design and analysis of well-posedness and stability, we utilise different transformations between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed for a class of evolution systems in Hilbert space. Simulation results are also included to illustrate the effectiveness of the proposed control design. |
| first_indexed | 2025-11-14T11:17:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-81344 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:17:59Z |
| publishDate | 2020 |
| publisher | TAYLOR & FRANCIS LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-813442021-08-20T05:08:05Z Boundary tracking control of flexible beams for transferring motions Do, Khac Duc Science & Technology Technology Automation & Control Systems Computer Science, Theory & Methods Operations Research & Management Science Computer Science Beams transferring motions three dimensions large motions boundary control Hilbert space evolution system SLENDER TIMOSHENKO BEAM MARINE RISERS CONTROL DESIGN STABILIZATION SYSTEM OBSERVERS DYNAMICS SPACE © 2020 Informa UK Limited, trading as Taylor & Francis Group. Although flexible beams for transmitting both translational and rotational large motions are used in practice such as ocean drill pipes, their control has not been considered. This paper develops boundary feedback controllers to stabilise these beams at their reference configurations. Exact nonlinear partial differential equations governing motion of the beams in three-dimensional space are derived and used in the control design. The designed controllers guarantee globally practically asymptotically stability of the beam motions at the reference states (i.e. positions and rotations of a straight beam moving axially with a desired velocity and rotating around its axial axis with a desired velocity). In the control design and analysis of well-posedness and stability, we utilise different transformations between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed for a class of evolution systems in Hilbert space. Simulation results are also included to illustrate the effectiveness of the proposed control design. 2020 Journal Article http://hdl.handle.net/20.500.11937/81344 10.1080/00207721.2020.1772401 English TAYLOR & FRANCIS LTD fulltext |
| spellingShingle | Science & Technology Technology Automation & Control Systems Computer Science, Theory & Methods Operations Research & Management Science Computer Science Beams transferring motions three dimensions large motions boundary control Hilbert space evolution system SLENDER TIMOSHENKO BEAM MARINE RISERS CONTROL DESIGN STABILIZATION SYSTEM OBSERVERS DYNAMICS SPACE Do, Khac Duc Boundary tracking control of flexible beams for transferring motions |
| title | Boundary tracking control of flexible beams for transferring motions |
| title_full | Boundary tracking control of flexible beams for transferring motions |
| title_fullStr | Boundary tracking control of flexible beams for transferring motions |
| title_full_unstemmed | Boundary tracking control of flexible beams for transferring motions |
| title_short | Boundary tracking control of flexible beams for transferring motions |
| title_sort | boundary tracking control of flexible beams for transferring motions |
| topic | Science & Technology Technology Automation & Control Systems Computer Science, Theory & Methods Operations Research & Management Science Computer Science Beams transferring motions three dimensions large motions boundary control Hilbert space evolution system SLENDER TIMOSHENKO BEAM MARINE RISERS CONTROL DESIGN STABILIZATION SYSTEM OBSERVERS DYNAMICS SPACE |
| url | http://hdl.handle.net/20.500.11937/81344 |