Boundary control of nonlinear elastic systems
This paper presents a design of boundary controllers for global stabilization of nonlinear elastic systems, which cover nonlinear elastic strings and membranes, under external bounded forces. The boundary controllers guarantee exponential convergence of the unique system solution to a ball centered...
| Main Author: | |
|---|---|
| Format: | Journal Article |
| Published: |
Springer Verlag
2015
|
| Online Access: | http://hdl.handle.net/20.500.11937/28811 |
| _version_ | 1848752636271001600 |
|---|---|
| author | Do, Khac Duc |
| author_facet | Do, Khac Duc |
| author_sort | Do, Khac Duc |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper presents a design of boundary controllers for global stabilization of nonlinear elastic systems, which cover nonlinear elastic strings and membranes, under external bounded forces. The boundary controllers guarantee exponential convergence of the unique system solution to a ball centered at the origin. The Faedo–Galerkin approximation method is used to prove existence and uniqueness of the solution of the closed-loop system. The control design is based on the Lyapunov direct method, Gronwall’s, Poincare’s, and Holder’s inequalities, and Sobolev embedding theorems. Simulations illustrate the effectiveness of the proposed controllers. |
| first_indexed | 2025-11-14T08:11:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-28811 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:11:46Z |
| publishDate | 2015 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-288112017-09-13T15:16:38Z Boundary control of nonlinear elastic systems Do, Khac Duc This paper presents a design of boundary controllers for global stabilization of nonlinear elastic systems, which cover nonlinear elastic strings and membranes, under external bounded forces. The boundary controllers guarantee exponential convergence of the unique system solution to a ball centered at the origin. The Faedo–Galerkin approximation method is used to prove existence and uniqueness of the solution of the closed-loop system. The control design is based on the Lyapunov direct method, Gronwall’s, Poincare’s, and Holder’s inequalities, and Sobolev embedding theorems. Simulations illustrate the effectiveness of the proposed controllers. 2015 Journal Article http://hdl.handle.net/20.500.11937/28811 10.1007/s12190-015-0907-5 Springer Verlag restricted |
| spellingShingle | Do, Khac Duc Boundary control of nonlinear elastic systems |
| title | Boundary control of nonlinear elastic systems |
| title_full | Boundary control of nonlinear elastic systems |
| title_fullStr | Boundary control of nonlinear elastic systems |
| title_full_unstemmed | Boundary control of nonlinear elastic systems |
| title_short | Boundary control of nonlinear elastic systems |
| title_sort | boundary control of nonlinear elastic systems |
| url | http://hdl.handle.net/20.500.11937/28811 |