Funnel control for passive infinite-dimensional systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914070504931328 |
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| author | Govindaraj, Thavamani Hastir, Anthony Paunonen, Lassi Reis, Timo |
| author_facet | Govindaraj, Thavamani Hastir, Anthony Paunonen, Lassi Reis, Timo |
| contents | We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squared norm of the state and the supplied power is the inner product of input and output. For the analysis we employ the system node approach, which offers a unified framework for infinite-dimensional systems with boundary and distributed control and observation. The resulting closed-loop dynamics are governed by a nonlinear evolution equation; we establish its solvability and hence the applicability of funnel control to this class. The applicability is illustrated by an Euler-Bernoulli beam, which is studied in two distinct scenarios: once with boundary control and once with distributed control. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_01027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Funnel control for passive infinite-dimensional systems Govindaraj, Thavamani Hastir, Anthony Paunonen, Lassi Reis, Timo Optimization and Control Analysis of PDEs Functional Analysis We consider funnel control for linear infinite-dimensional systems that are impedance passive, meaning that they satisfy an energy balance in which the stored energy equals the squared norm of the state and the supplied power is the inner product of input and output. For the analysis we employ the system node approach, which offers a unified framework for infinite-dimensional systems with boundary and distributed control and observation. The resulting closed-loop dynamics are governed by a nonlinear evolution equation; we establish its solvability and hence the applicability of funnel control to this class. The applicability is illustrated by an Euler-Bernoulli beam, which is studied in two distinct scenarios: once with boundary control and once with distributed control. |
| title | Funnel control for passive infinite-dimensional systems |
| topic | Optimization and Control Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2510.01027 |