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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.10811 |
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| _version_ | 1866908366952988672 |
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| author | Scruggs, J. T. |
| author_facet | Scruggs, J. T. |
| contents | We consider the $\mathbb{H}_2$-optimal feedback control problem, for the case in which the plant is passive with bounded $\mathbb{L}_2$ gain, and the feedback law is constrained to be output-strictly passive. In this circumstance, we show that this problem distills to a convex optimal control problem, in which the optimization domain is the associated Youla parameter for the closed-loop system. This enables the globally-optimal controller to be solved as an infinite-dimensional but convex optimization. Near-optimal solutions may be found through the finite-dimensional convex truncation of this infinite-dimensional domain. The idea is demonstrated on a simple vibration suppression example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal $\mathbb{H}_2$ Control with Passivity-Constrained Feedback: Convex Approach Scruggs, J. T. Optimization and Control Systems and Control We consider the $\mathbb{H}_2$-optimal feedback control problem, for the case in which the plant is passive with bounded $\mathbb{L}_2$ gain, and the feedback law is constrained to be output-strictly passive. In this circumstance, we show that this problem distills to a convex optimal control problem, in which the optimization domain is the associated Youla parameter for the closed-loop system. This enables the globally-optimal controller to be solved as an infinite-dimensional but convex optimization. Near-optimal solutions may be found through the finite-dimensional convex truncation of this infinite-dimensional domain. The idea is demonstrated on a simple vibration suppression example. |
| title | Optimal $\mathbb{H}_2$ Control with Passivity-Constrained Feedback: Convex Approach |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2505.10811 |