Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916794022756352 |
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| author | Oliveira, Ariany C. Campos, Victor C. S. Mozelli, Leonardo. A. |
| author_facet | Oliveira, Ariany C. Campos, Victor C. S. Mozelli, Leonardo. A. |
| contents | The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively provides an estimate for the gain-scheduling implementation. Conservativeness is reduced using our recent results on describing uncertainty: i) a structural relaxation that casts the parameters as outer terms and introduces slack variables; and ii) a precise topological representation that describes the mismatch between the uncertainty and its estimate. Numerical examples illustrate a high degree of relaxation in comparison with the state-of-the-art. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12476 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties Oliveira, Ariany C. Campos, Victor C. S. Mozelli, Leonardo. A. Systems and Control The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively provides an estimate for the gain-scheduling implementation. Conservativeness is reduced using our recent results on describing uncertainty: i) a structural relaxation that casts the parameters as outer terms and introduces slack variables; and ii) a precise topological representation that describes the mismatch between the uncertainty and its estimate. Numerical examples illustrate a high degree of relaxation in comparison with the state-of-the-art. |
| title | Less Conservative Adaptive Gain-scheduling Control for Continuous-time Systems with Polytopic Uncertainties |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2506.12476 |