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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2509.24799 |
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| _version_ | 1866910048863649792 |
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| author | Nishida, Shumpei Okano, Kunihisa |
| author_facet | Nishida, Shumpei Okano, Kunihisa |
| contents | This paper presents a controller design framework aiming to balance control performance and actuation rate. Control performance is evaluated by an infinite-horizon average cost, and the number of control actions is penalized via sparsity-promoting regularization. Since the formulated optimal control problem has a combinatorial nature, we employ a rollout algorithm to obtain a tractable suboptimal solution. In the proposed scheme, actuation timings are determined through a multistage minimization procedure based on a receding-horizon approach, and the corresponding control inputs are computed online. We establish theoretical performance guarantees with respect to periodic control and prove the stability of the closed-loop system. The effectiveness of the proposed method is demonstrated through a numerical example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24799 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Event-Based Control via Sparsity-Promoting Regularization: A Rollout Approach with Performance Guarantees Nishida, Shumpei Okano, Kunihisa Systems and Control This paper presents a controller design framework aiming to balance control performance and actuation rate. Control performance is evaluated by an infinite-horizon average cost, and the number of control actions is penalized via sparsity-promoting regularization. Since the formulated optimal control problem has a combinatorial nature, we employ a rollout algorithm to obtain a tractable suboptimal solution. In the proposed scheme, actuation timings are determined through a multistage minimization procedure based on a receding-horizon approach, and the corresponding control inputs are computed online. We establish theoretical performance guarantees with respect to periodic control and prove the stability of the closed-loop system. The effectiveness of the proposed method is demonstrated through a numerical example. |
| title | Event-Based Control via Sparsity-Promoting Regularization: A Rollout Approach with Performance Guarantees |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2509.24799 |