Boundary control of two dimensional marine risers with bending couplings
The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhi...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier Ltd
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/35830 |
| _version_ | 1848754602630971392 |
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| author | Nguyen, T. Do, Khac Duc Pan, J. |
| author_facet | Nguyen, T. Do, Khac Duc Pan, J. |
| author_sort | Nguyen, T. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. |
| first_indexed | 2025-11-14T08:43:01Z |
| format | Journal Article |
| id | curtin-20.500.11937-35830 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:43:01Z |
| publishDate | 2013 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-358302017-09-13T16:07:59Z Boundary control of two dimensional marine risers with bending couplings Nguyen, T. Do, Khac Duc Pan, J. Stability analysis Existence and uniqueness Environmental disturbances Lyapunov direct method Global stabilization Transverse motions Lyapunov stability theory Galerkin approximations The aim of this paper is to design a boundary controller for global stabilization of two-dimensional marine risers under environmental disturbances. Based on the energy approach, equations of motion including bending couplings for the risers are derived. Due to the couplings, the riser dynamics exhibit mutual effects between transverse motions. The Lyapunov direct method is used to design the boundary controller. Proof of the existence and uniqueness of the solutions of the closed-loop system is provided based on the Galerkin approximation method. Stability analysis of the closed-loop system is carried out using the Lyapunov stability theory. Numerical simulations illustrate the results. 2013 Journal Article http://hdl.handle.net/20.500.11937/35830 10.1016/j.jsv.2013.02.026 Elsevier Ltd restricted |
| spellingShingle | Stability analysis Existence and uniqueness Environmental disturbances Lyapunov direct method Global stabilization Transverse motions Lyapunov stability theory Galerkin approximations Nguyen, T. Do, Khac Duc Pan, J. Boundary control of two dimensional marine risers with bending couplings |
| title | Boundary control of two dimensional marine risers with bending couplings |
| title_full | Boundary control of two dimensional marine risers with bending couplings |
| title_fullStr | Boundary control of two dimensional marine risers with bending couplings |
| title_full_unstemmed | Boundary control of two dimensional marine risers with bending couplings |
| title_short | Boundary control of two dimensional marine risers with bending couplings |
| title_sort | boundary control of two dimensional marine risers with bending couplings |
| topic | Stability analysis Existence and uniqueness Environmental disturbances Lyapunov direct method Global stabilization Transverse motions Lyapunov stability theory Galerkin approximations |
| url | http://hdl.handle.net/20.500.11937/35830 |