Tracking optimal feedback control under uncertain parameters
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910314137649152 |
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| author | Guth, Philipp A. Kunisch, Karl Rodrigues, Sergio S. |
| author_facet | Guth, Philipp A. Kunisch, Karl Rodrigues, Sergio S. |
| contents | Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like functional depending on a finite ensemble of training/sample parameters. It is computed from the nonnegative definite solution of an associated differential Riccati equation. Simulations are presented showing the tracking performance of the computed input for trained as well as untrained parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tracking optimal feedback control under uncertain parameters Guth, Philipp A. Kunisch, Karl Rodrigues, Sergio S. Optimization and Control 34F05, 49J15, 49J20, 49N10, 93B52, 93C15, 93C20 Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obtained by considering the minimization of an energy-like functional depending on a finite ensemble of training/sample parameters. It is computed from the nonnegative definite solution of an associated differential Riccati equation. Simulations are presented showing the tracking performance of the computed input for trained as well as untrained parameters. |
| title | Tracking optimal feedback control under uncertain parameters |
| topic | Optimization and Control 34F05, 49J15, 49J20, 49N10, 93B52, 93C15, 93C20 |
| url | https://arxiv.org/abs/2402.00526 |