Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910440418705408 |
|---|---|
| author | Besançon, Gildas Cristofaro, Andrea Ferrante, Francesco |
| author_facet | Besançon, Gildas Cristofaro, Andrea Ferrante, Francesco |
| contents | The problem of estimating the reaction coefficient of a system governed by a reaction-diffusion partial differential equation is tackled. An estimator relying on boundary measurements only is proposed. The estimator is based upon a setpoint regulation strategy and leads to an asymptotically converging estimate of the unknown reaction coefficient. The proposed estimator is combined with a state observer and shown to provide an asymptotic estimate of the actual system state. A numerical example supports and illustrates the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation Besançon, Gildas Cristofaro, Andrea Ferrante, Francesco Optimization and Control Systems and Control Dynamical Systems The problem of estimating the reaction coefficient of a system governed by a reaction-diffusion partial differential equation is tackled. An estimator relying on boundary measurements only is proposed. The estimator is based upon a setpoint regulation strategy and leads to an asymptotically converging estimate of the unknown reaction coefficient. The proposed estimator is combined with a state observer and shown to provide an asymptotic estimate of the actual system state. A numerical example supports and illustrates the theoretical results. |
| title | Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation |
| topic | Optimization and Control Systems and Control Dynamical Systems |
| url | https://arxiv.org/abs/2405.05866 |