Switched Systems Control via Discreteness-Promoting Regularization
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909600746307584 |
|---|---|
| author | Nagahara, Masaaki Ikeda, Takuya Hoshimoto, Ritsuki |
| author_facet | Nagahara, Masaaki Ikeda, Takuya Hoshimoto, Ritsuki |
| contents | This paper proposes a novel method for designing finite-horizon discrete-valued switching signals in linear switched systems based on discreteness-promoting regularization. The inherent combinatorial optimization problem is reformulated as a continuous optimization problem with a non-convex regularization term that promotes discreteness of the control. We prove that any solution obtained from the relaxed problem is also a solution to the original problem. The resulting non-convex optimization problem is efficiently solved through time discretization. Numerical examples demonstrate the effectiveness of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01803 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Switched Systems Control via Discreteness-Promoting Regularization Nagahara, Masaaki Ikeda, Takuya Hoshimoto, Ritsuki Optimization and Control Systems and Control This paper proposes a novel method for designing finite-horizon discrete-valued switching signals in linear switched systems based on discreteness-promoting regularization. The inherent combinatorial optimization problem is reformulated as a continuous optimization problem with a non-convex regularization term that promotes discreteness of the control. We prove that any solution obtained from the relaxed problem is also a solution to the original problem. The resulting non-convex optimization problem is efficiently solved through time discretization. Numerical examples demonstrate the effectiveness of the proposed method. |
| title | Switched Systems Control via Discreteness-Promoting Regularization |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2505.01803 |