Integral action feedback design for conservative abstract systems in the presence of input nonlinearities
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909205433155584 |
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| author | Ma, Ling Andrieu, Vincent Astolfi, Daniele Bajodek, Mathieu Xu, Cheng-Zhong Lou, Xuyang |
| author_facet | Ma, Ling Andrieu, Vincent Astolfi, Daniele Bajodek, Mathieu Xu, Cheng-Zhong Lou, Xuyang |
| contents | In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global asymptotic stability of the origin of the closed-loop system by constructing a weak Lyapunov functional. Secondly, as an illustration, we apply the results to a wave equation coupled with an ordinary differential equation (ODE) at the boundary. Finally, we give the simulation results to illustrate the effectiveness of our method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integral action feedback design for conservative abstract systems in the presence of input nonlinearities Ma, Ling Andrieu, Vincent Astolfi, Daniele Bajodek, Mathieu Xu, Cheng-Zhong Lou, Xuyang Optimization and Control In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed control law, we first prove the well-posedness and global asymptotic stability of the origin of the closed-loop system by constructing a weak Lyapunov functional. Secondly, as an illustration, we apply the results to a wave equation coupled with an ordinary differential equation (ODE) at the boundary. Finally, we give the simulation results to illustrate the effectiveness of our method. |
| title | Integral action feedback design for conservative abstract systems in the presence of input nonlinearities |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2405.09986 |