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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/732B793A-39DE-4326-B071-34FBD8635A3F | - |
| Identifier | https://doi.org/10.23919/ACC63710.2025.11108079 | - |
| Language | en | - |
| Extent | 6 pages | en |
| Title | Stabilization of an unstable reaction-diffusion PDE with input delay despite state and input quantization | en |
| Creator | Koudohode Florent | en |
| Creator | Koudohode Florent | el |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Description | Funded by the European Union (ERC, C-NORA, 101088147). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. | en |
| Content Summary | We solve the global asymptotic stability problem of an unstable reaction-diffusion Partial Differential Equation (PDE) subject to input delay and state quantization developing a switched predictor-feedback law. To deal with the input delay, we reformulate the problem as an actuated transport PDE coupled with the original reaction-diffusion PDE. Then, we design a quantized predictor-based feedback mechanism that employs a dynamic switching strategy to adjust the quantization range and error over time. The stability of the closed-loop system is proven properly combining backstepping with a small-gain approach and input-to-state stability techniques, for deriving estimates on solutions, despite the quantization effect and the system’s instability. We also extend this result to the input quantization case. | en |
| Type of Item | Πλήρης Δημοσίευση σε Συνέδριο | el |
| Type of Item | Conference Full Paper | en |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Date of Item | 2025-08-25 | - |
| Date of Publication | 2025 | - |
| Subject | Reaction-diffusion PDE | en |
| Subject | Quantization | en |
| Subject | Backstepping | en |
| Bibliographic Citation | F. Koudohode and N. Bekiaris-Liberis, "Stabilization of an unstable reaction-diffusion PDE with input delay despite state and input quantization," 2025 American Control Conference (ACC), Denver, CO, USA, 2025. | en |
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