Setpoint control of bilinear systems from noisy data
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911087548432384 |
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| author | Bisoffi, Andrea Steeman, Dominiek M. De Persis, Claudio |
| author_facet | Bisoffi, Andrea Steeman, Dominiek M. De Persis, Claudio |
| contents | We consider the problem of designing a controller for an unknown bilinear system using only noisy input-states data points generated by it. The controller should achieve regulation to a given state setpoint and provide a guaranteed basin of attraction. Determining the equilibrium input to achieve that setpoint is not trivial in a data-based setting and we propose the design of a controller in two scenarios. The design takes the form of linear matrix inequalities and is validated numerically for a Cuk converter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03594 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Setpoint control of bilinear systems from noisy data Bisoffi, Andrea Steeman, Dominiek M. De Persis, Claudio Systems and Control Dynamical Systems Optimization and Control We consider the problem of designing a controller for an unknown bilinear system using only noisy input-states data points generated by it. The controller should achieve regulation to a given state setpoint and provide a guaranteed basin of attraction. Determining the equilibrium input to achieve that setpoint is not trivial in a data-based setting and we propose the design of a controller in two scenarios. The design takes the form of linear matrix inequalities and is validated numerically for a Cuk converter. |
| title | Setpoint control of bilinear systems from noisy data |
| topic | Systems and Control Dynamical Systems Optimization and Control |
| url | https://arxiv.org/abs/2404.03594 |