Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation
Optimization and Control
2024-05-10 v1 Systems and Control
Systems and Control
Dynamical Systems
Abstract
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.
Cite
@article{arxiv.2405.05866,
title = {Parameter identification for an uncertain reaction-diffusion equation via setpoint regulation},
author = {Gildas Besançon and Andrea Cristofaro and Francesco Ferrante},
journal= {arXiv preprint arXiv:2405.05866},
year = {2024}
}