A Minimax Optimal Controller for Positive Systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911092557479936 |
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| author | Gurpegui, Alba Tegling, Emma Rantzer, Anders |
| author_facet | Gurpegui, Alba Tegling, Emma Rantzer, Anders |
| contents | We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Minimax Optimal Controller for Positive Systems Gurpegui, Alba Tegling, Emma Rantzer, Anders Optimization and Control Systems and Control We present an explicit solution to the discrete-time Bellman equation for minimax optimal control of positive systems under unconstrained disturbances. The primary contribution of our result relies on deducing a bound for the disturbance penalty, which characterizes the existence of a finite solution to the problem class. Moreover, this constraint on the disturbance penalty reveals that, in scenarios where a solution is feasible, the problem converges to its equivalent minimization problem in the absence of disturbances. |
| title | A Minimax Optimal Controller for Positive Systems |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2502.01180 |