Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation
<|reference_start|>Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation: 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.<|reference_end|>
@article{besançon2024parameter,
    title={Parameter identification for an uncertain reaction-diffusion equation
  via setpoint regulation},
    author={Gildas Besanc{c}on, Andrea Cristofaro, Francesco Ferrante},
    journal={arXiv preprint arXiv:2405.05866},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.05866},
    primaryClass={math.OC cs.SY eess.SY math.DS}
}