Delayed dynamic-feedback controller design for multi-frequency vibration suppression
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908375245127680 |
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| author | Saldanha, Adrian Peichl, Adam Michiels, Wim Vyhlídal, Tomáš |
| author_facet | Saldanha, Adrian Peichl, Adam Michiels, Wim Vyhlídal, Tomáš |
| contents | We present a methodology for designing a dynamic controller with delayed output feedback for achieving non-collocated vibration suppression with a focus on the multi-frequency case. To synthesize the delay-based controller, we first remodel the system of equations as a delay-differential algebraic equation (DDAE) in such a way that existing tools for design of a static output feedback controller can be easily adapted. The problem of achieving non-collocated vibration suppression with sufficient damping is formulated as a constrained optimization problem of minimizing the spectral abscissa in the presence of zero-location constraints, with the constraints exhibiting polynomial dependence on its parameters. We transform the problem into an unconstrained one using elimination, following which we solve the resulting non-convex, non-smooth optimization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Delayed dynamic-feedback controller design for multi-frequency vibration suppression Saldanha, Adrian Peichl, Adam Michiels, Wim Vyhlídal, Tomáš Systems and Control Optimization and Control 93D20 I.6.5; F.2.1 We present a methodology for designing a dynamic controller with delayed output feedback for achieving non-collocated vibration suppression with a focus on the multi-frequency case. To synthesize the delay-based controller, we first remodel the system of equations as a delay-differential algebraic equation (DDAE) in such a way that existing tools for design of a static output feedback controller can be easily adapted. The problem of achieving non-collocated vibration suppression with sufficient damping is formulated as a constrained optimization problem of minimizing the spectral abscissa in the presence of zero-location constraints, with the constraints exhibiting polynomial dependence on its parameters. We transform the problem into an unconstrained one using elimination, following which we solve the resulting non-convex, non-smooth optimization problem. |
| title | Delayed dynamic-feedback controller design for multi-frequency vibration suppression |
| topic | Systems and Control Optimization and Control 93D20 I.6.5; F.2.1 |
| url | https://arxiv.org/abs/2505.16939 |