Stabilization of a rigid body in a viscous incompressible fluid
This paper addresses the problem of global asymptotic and local exponential stabilization of a rigid body inside a viscous incompressible fluid described by Navier–Stokes equations within a bounded domain in three dimensional space provided that there is no collision between the rigid body and the b...
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| Format: | Journal Article |
| Language: | English |
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PERGAMON-ELSEVIER SCIENCE LTD
2023
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| Online Access: | http://purl.org/au-research/grants/arc/DP190103279 http://hdl.handle.net/20.500.11937/96545 |
| _version_ | 1848766168067735552 |
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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 addresses the problem of global asymptotic and local exponential stabilization of a rigid body inside a viscous incompressible fluid described by Navier–Stokes equations within a bounded domain in three dimensional space provided that there is no collision between the rigid body and the boundary of the fluid domain. Due to consideration of less regular initial values of the fluid velocity, the forces and moments induced by the fluid on the rigid body are not able to bound. Therefore, the paper handles “fluid work and fluid power” on the rigid body in stability and convergence analysis of the closed-loop system. The control design ensures global asymptotic and local exponential stability of the rigid body while the initial fluid velocity is not required to be small and regular but only under no collision between the rigid body and the boundary of the fluid domain. |
| first_indexed | 2025-11-14T11:46:51Z |
| format | Journal Article |
| id | curtin-20.500.11937-96545 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:46:51Z |
| publishDate | 2023 |
| publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-965452025-01-17T01:30:12Z Stabilization of a rigid body in a viscous incompressible fluid Do, Khac Duc Science & Technology Technology Physical Sciences Engineering, Marine Engineering, Civil Engineering, Ocean Oceanography Engineering Rigid body Stabilization Navier-stokes equations Existence Weak solution WEAK SOLUTIONS FEEDBACK STABILIZATION 2-DIMENSIONAL MOTION EXISTENCE BODIES SYSTEMS This paper addresses the problem of global asymptotic and local exponential stabilization of a rigid body inside a viscous incompressible fluid described by Navier–Stokes equations within a bounded domain in three dimensional space provided that there is no collision between the rigid body and the boundary of the fluid domain. Due to consideration of less regular initial values of the fluid velocity, the forces and moments induced by the fluid on the rigid body are not able to bound. Therefore, the paper handles “fluid work and fluid power” on the rigid body in stability and convergence analysis of the closed-loop system. The control design ensures global asymptotic and local exponential stability of the rigid body while the initial fluid velocity is not required to be small and regular but only under no collision between the rigid body and the boundary of the fluid domain. 2023 Journal Article http://hdl.handle.net/20.500.11937/96545 10.1016/j.oceaneng.2022.113481 English http://purl.org/au-research/grants/arc/DP190103279 http://purl.org/au-research/grants/arc/DP230100390 http://creativecommons.org/licenses/by-nc-nd/4.0/ PERGAMON-ELSEVIER SCIENCE LTD fulltext |
| spellingShingle | Science & Technology Technology Physical Sciences Engineering, Marine Engineering, Civil Engineering, Ocean Oceanography Engineering Rigid body Stabilization Navier-stokes equations Existence Weak solution WEAK SOLUTIONS FEEDBACK STABILIZATION 2-DIMENSIONAL MOTION EXISTENCE BODIES SYSTEMS Do, Khac Duc Stabilization of a rigid body in a viscous incompressible fluid |
| title | Stabilization of a rigid body in a viscous incompressible fluid |
| title_full | Stabilization of a rigid body in a viscous incompressible fluid |
| title_fullStr | Stabilization of a rigid body in a viscous incompressible fluid |
| title_full_unstemmed | Stabilization of a rigid body in a viscous incompressible fluid |
| title_short | Stabilization of a rigid body in a viscous incompressible fluid |
| title_sort | stabilization of a rigid body in a viscous incompressible fluid |
| topic | Science & Technology Technology Physical Sciences Engineering, Marine Engineering, Civil Engineering, Ocean Oceanography Engineering Rigid body Stabilization Navier-stokes equations Existence Weak solution WEAK SOLUTIONS FEEDBACK STABILIZATION 2-DIMENSIONAL MOTION EXISTENCE BODIES SYSTEMS |
| url | http://purl.org/au-research/grants/arc/DP190103279 http://purl.org/au-research/grants/arc/DP190103279 http://hdl.handle.net/20.500.11937/96545 |