Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911810918023168 |
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| author | Malzer, Tobias Ecker, Lukas Schöberl, Markus |
| author_facet | Malzer, Tobias Ecker, Lukas Schöberl, Markus |
| contents | In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting control law depends on distributed system states that cannot be measured, and therefore, we additionally design an infinite-dimensional observer by exploiting the port-Hamiltonian system representation. A Kirchhoff-Love plate serves as an example in order to demonstrate the proposed approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_09329 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems Malzer, Tobias Ecker, Lukas Schöberl, Markus Optimization and Control Analysis of PDEs Differential Geometry In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting control law depends on distributed system states that cannot be measured, and therefore, we additionally design an infinite-dimensional observer by exploiting the port-Hamiltonian system representation. A Kirchhoff-Love plate serves as an example in order to demonstrate the proposed approaches. |
| title | Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems |
| topic | Optimization and Control Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2104.09329 |