Stabilization of a Coupled Second Order ODE-wave System
This paper considers the stabilization of a coupled second order ODE-wave system, where the ODE dynamics contain the solution of the wave equation at an intermediate point. We design a stabilizing feedback controller by choosing a suitable target system and backstepping transformation. The backstepp...
| Main Authors: | , , , |
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| Format: | Conference Paper |
| Published: |
Institute of Electrical and Electronics Engineers
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/40093 |
| _version_ | 1848755772477931520 |
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| author | Zhen, Z. Wang, K. Zhou, Z. Loxton, Ryan |
| author_facet | Zhen, Z. Wang, K. Zhou, Z. Loxton, Ryan |
| author_sort | Zhen, Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper considers the stabilization of a coupled second order ODE-wave system, where the ODE dynamics contain the solution of the wave equation at an intermediate point. We design a stabilizing feedback controller by choosing a suitable target system and backstepping transformation. The backstepping transformation is defined in terms of several kernel functions, for which we establish existence, uniqueness and smoothness properties. We also prove exponential stability for the resulting closed-loop system. Finally, the effectiveness of the proposed feedback controller is verified via a numerical example. |
| first_indexed | 2025-11-14T09:01:37Z |
| format | Conference Paper |
| id | curtin-20.500.11937-40093 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:01:37Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-400932017-09-13T21:24:48Z Stabilization of a Coupled Second Order ODE-wave System Zhen, Z. Wang, K. Zhou, Z. Loxton, Ryan This paper considers the stabilization of a coupled second order ODE-wave system, where the ODE dynamics contain the solution of the wave equation at an intermediate point. We design a stabilizing feedback controller by choosing a suitable target system and backstepping transformation. The backstepping transformation is defined in terms of several kernel functions, for which we establish existence, uniqueness and smoothness properties. We also prove exponential stability for the resulting closed-loop system. Finally, the effectiveness of the proposed feedback controller is verified via a numerical example. 2016 Conference Paper http://hdl.handle.net/20.500.11937/40093 10.1109/ChiCC.2016.7553282 Institute of Electrical and Electronics Engineers fulltext |
| spellingShingle | Zhen, Z. Wang, K. Zhou, Z. Loxton, Ryan Stabilization of a Coupled Second Order ODE-wave System |
| title | Stabilization of a Coupled Second Order ODE-wave System |
| title_full | Stabilization of a Coupled Second Order ODE-wave System |
| title_fullStr | Stabilization of a Coupled Second Order ODE-wave System |
| title_full_unstemmed | Stabilization of a Coupled Second Order ODE-wave System |
| title_short | Stabilization of a Coupled Second Order ODE-wave System |
| title_sort | stabilization of a coupled second order ode-wave system |
| url | http://hdl.handle.net/20.500.11937/40093 |