TY - GEN
T1 - Non-asymptotic State Estimation of Linear Reaction Diffusion Equation using Modulating Functions
AU - Ghaffour, Lilia
AU - Noack, Matti
AU - Reger, Johann
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): BAS/1/1627-01-01
Acknowledgements: This work has been supported by the King Abdullah University of Science and Technology (KAUST) Base Research Fund (BAS/1/1627-01-01) to Taous Meriem Laleg.This project also has received funding from the European Union’s Horizon 2020 research and innovation program under Marie Sk lodowska-Curie grant agreement No. 824046.
PY - 2020
Y1 - 2020
N2 - In this paper, we propose a non-asymptotic state estimation method for the linear reaction diffusion equation with general boundary conditions. The method is based on the modulating function approach utilizing a modulation functional in time and space. This results
in a signal model control problem for a system of auxiliary PDEs in order to determine the modulation kernels. First, the algorithm is mathematically derived and then numerical simulations are presented for illustrating the good performance of the proposed approach and
demonstrating the efficient implementation scheme.
AB - In this paper, we propose a non-asymptotic state estimation method for the linear reaction diffusion equation with general boundary conditions. The method is based on the modulating function approach utilizing a modulation functional in time and space. This results
in a signal model control problem for a system of auxiliary PDEs in order to determine the modulation kernels. First, the algorithm is mathematically derived and then numerical simulations are presented for illustrating the good performance of the proposed approach and
demonstrating the efficient implementation scheme.
UR - http://hdl.handle.net/10754/664914
M3 - Conference contribution
BT - IFAC World Congress 2020
PB - Elsevier
ER -