Boundary control of three-dimensional inextensible marine risers
This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, seve...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Elsevier Ltd
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/7364 |
| _version_ | 1848745347923312640 |
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| author | Do, Khac Duc Pan, J. |
| author_facet | Do, Khac Duc Pan, J. |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system. © 2009 Elsevier Ltd. |
| first_indexed | 2025-11-14T06:15:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-7364 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:15:55Z |
| publishDate | 2009 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-73642017-09-13T14:37:53Z Boundary control of three-dimensional inextensible marine risers Do, Khac Duc Pan, J. This paper present a design of boundary controllers actuated by hydraulic actuators at the top end for global stabilization of a three-dimensional riser system. First, a set of partial and ordinary differential equations describing motion of the riser and hydraulic systems is developed. Second, several important properties of the riser system are derived. Based on these properties, we show that the conventional formula to calculate the riser effective tension is oversimplified and a new formula is provided. Next, boundary controllers are designed based on Lyapunov's direct method, the backstepping technique, the derived properties of the riser system dynamics, and Poincare's inequalities. Finally, the Galerkin approximation method is used to prove existence and uniqueness of the solutions of the closed loop control system. © 2009 Elsevier Ltd. 2009 Journal Article http://hdl.handle.net/20.500.11937/7364 10.1016/j.jsv.2009.07.009 Elsevier Ltd restricted |
| spellingShingle | Do, Khac Duc Pan, J. Boundary control of three-dimensional inextensible marine risers |
| title | Boundary control of three-dimensional inextensible marine risers |
| title_full | Boundary control of three-dimensional inextensible marine risers |
| title_fullStr | Boundary control of three-dimensional inextensible marine risers |
| title_full_unstemmed | Boundary control of three-dimensional inextensible marine risers |
| title_short | Boundary control of three-dimensional inextensible marine risers |
| title_sort | boundary control of three-dimensional inextensible marine risers |
| url | http://hdl.handle.net/20.500.11937/7364 |