Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria
This paper studies the practical exponential set stabilization problem for switched nonlinear systems via a t -persistent approach. In these kinds of switched systems, every autonomous subsystem has one unique equilibrium point and these subsystems’ equilibria are different each other. Based on prev...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Springer
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/40860 |
| _version_ | 1848755984225271808 |
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| author | Xu, Honglei Zhang, Y. Yang, J. Zhou, Guanglu Caccetta, Louis |
| author_facet | Xu, Honglei Zhang, Y. Yang, J. Zhou, Guanglu Caccetta, Louis |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper studies the practical exponential set stabilization problem for switched nonlinear systems via a t -persistent approach. In these kinds of switched systems, every autonomous subsystem has one unique equilibrium point and these subsystems’ equilibria are different each other. Based on previous stability results of switched systems and a set of Gronwall–Bellman inequalities, we prove that the switched nonlinear system will reach the neighborhood of the corresponding subsystem equilibrium at every switching time. In addition, we constructively design a suitable t -persistent switching law to practically exponentially set stabilize the switched system. Finally, a numerical example is presented to illustrate the obtained results. |
| first_indexed | 2025-11-14T09:04:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-40860 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:04:59Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-408602017-09-13T14:03:54Z Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria Xu, Honglei Zhang, Y. Yang, J. Zhou, Guanglu Caccetta, Louis This paper studies the practical exponential set stabilization problem for switched nonlinear systems via a t -persistent approach. In these kinds of switched systems, every autonomous subsystem has one unique equilibrium point and these subsystems’ equilibria are different each other. Based on previous stability results of switched systems and a set of Gronwall–Bellman inequalities, we prove that the switched nonlinear system will reach the neighborhood of the corresponding subsystem equilibrium at every switching time. In addition, we constructively design a suitable t -persistent switching law to practically exponentially set stabilize the switched system. Finally, a numerical example is presented to illustrate the obtained results. 2016 Journal Article http://hdl.handle.net/20.500.11937/40860 10.1007/s10898-015-0339-7 Springer restricted |
| spellingShingle | Xu, Honglei Zhang, Y. Yang, J. Zhou, Guanglu Caccetta, Louis Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title | Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title_full | Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title_fullStr | Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title_full_unstemmed | Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title_short | Practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| title_sort | practical exponential set stabilization for switched nonlinear systems with multiple subsystem equilibria |
| url | http://hdl.handle.net/20.500.11937/40860 |