Linear-Quadratic optimal control for boundary controlled networks of waves
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910815000461312 |
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| author | Hastir, Anthony Jacob, Birgit Zwart, Hans |
| author_facet | Hastir, Anthony Jacob, Birgit Zwart, Hans |
| contents | Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in converting the infinite-dimensional continuous-time systems into infinite-dimensional discrete-time systems for which the operators dynamics are matrices, in solving the LQ-optimal control problem in discrete-time and then in interpreting the solution in the continuous-time variables, giving rise to the optimal boundary control input. The results are applied to two examples, a small network of three vibrating strings and a co-current heat-exchanger, for which boundary sensors and actuators are considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13706 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear-Quadratic optimal control for boundary controlled networks of waves Hastir, Anthony Jacob, Birgit Zwart, Hans Optimization and Control 35L40, 47B38, 47D06, 49J20, 93D15 Linear-Quadratic optimal controls are computed for a class of boundary controlled, boundary observed hyperbolic infinite-dimensional systems, which may be viewed as networks of waves. The main results of this manuscript consist in converting the infinite-dimensional continuous-time systems into infinite-dimensional discrete-time systems for which the operators dynamics are matrices, in solving the LQ-optimal control problem in discrete-time and then in interpreting the solution in the continuous-time variables, giving rise to the optimal boundary control input. The results are applied to two examples, a small network of three vibrating strings and a co-current heat-exchanger, for which boundary sensors and actuators are considered. |
| title | Linear-Quadratic optimal control for boundary controlled networks of waves |
| topic | Optimization and Control 35L40, 47B38, 47D06, 49J20, 93D15 |
| url | https://arxiv.org/abs/2402.13706 |