Robust Aperiodic Sampled-Data Washout Control for Uncertain Affine Systems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910973810442240 |
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| author | Giorgetti, Folco Crocetti, Francesco Fravolini, Mario Luca Ferrante, Francesco |
| author_facet | Giorgetti, Folco Crocetti, Francesco Fravolini, Mario Luca Ferrante, Francesco |
| contents | In this paper, we address the problem of designing an aperiodic sampled-data controller stabilizing the zero-input equilibrium of an uncertain affine plant. The closed-loop system is modeled as a hybrid dynamical system incorporating a timer triggering the occurrence of the sampling events and two memory states storing the value of the controller state and controller output at each sampling time. Necessary and sufficient conditions on the controller parameters are given to establish the sought property. A constructive controller design algorithm based on sum-of-squares programming is given. A numerical example illustrates the effectiveness of the approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23534 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust Aperiodic Sampled-Data Washout Control for Uncertain Affine Systems Giorgetti, Folco Crocetti, Francesco Fravolini, Mario Luca Ferrante, Francesco Systems and Control Optimization and Control In this paper, we address the problem of designing an aperiodic sampled-data controller stabilizing the zero-input equilibrium of an uncertain affine plant. The closed-loop system is modeled as a hybrid dynamical system incorporating a timer triggering the occurrence of the sampling events and two memory states storing the value of the controller state and controller output at each sampling time. Necessary and sufficient conditions on the controller parameters are given to establish the sought property. A constructive controller design algorithm based on sum-of-squares programming is given. A numerical example illustrates the effectiveness of the approach. |
| title | Robust Aperiodic Sampled-Data Washout Control for Uncertain Affine Systems |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2505.23534 |