Data-driven input-to-state stabilization with respect to measurement errors
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913225439707136 |
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| author | Chen, Hailong Bisoffi, Andrea De Persis, Claudio |
| author_facet | Chen, Hailong Bisoffi, Andrea De Persis, Claudio |
| contents | We consider noisy input/state data collected from an experiment on a polynomial input-affine nonlinear system. Motivated by event-triggered control, we provide data-based conditions for input-to-state stability with respect to measurement errors. Such conditions, which take into account all dynamics consistent with data, lead to the design of a feedback controller, an ISS Lyapunov function, and comparison functions ensuring ISS with respect to measurement errors. When solved alternately for two subsets of the decision variables, these conditions become a convex sum-of-squares program. Feasibility of the program is illustrated with a numerical example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09050 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Data-driven input-to-state stabilization with respect to measurement errors Chen, Hailong Bisoffi, Andrea De Persis, Claudio Systems and Control Dynamical Systems Optimization and Control We consider noisy input/state data collected from an experiment on a polynomial input-affine nonlinear system. Motivated by event-triggered control, we provide data-based conditions for input-to-state stability with respect to measurement errors. Such conditions, which take into account all dynamics consistent with data, lead to the design of a feedback controller, an ISS Lyapunov function, and comparison functions ensuring ISS with respect to measurement errors. When solved alternately for two subsets of the decision variables, these conditions become a convex sum-of-squares program. Feasibility of the program is illustrated with a numerical example. |
| title | Data-driven input-to-state stabilization with respect to measurement errors |
| topic | Systems and Control Dynamical Systems Optimization and Control |
| url | https://arxiv.org/abs/2309.09050 |