Non-asymptotic State Estimation of Linear Reaction Diffusion Equation using Modulating Functions

Lilia Ghaffour, Matti Noack, Johann Reger, Taous-Meriem Laleg-Kirati

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.
Original languageEnglish (US)
Title of host publicationIFAC World Congress 2020
StatePublished - 2020

Bibliographical note

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.


Dive into the research topics of 'Non-asymptotic State Estimation of Linear Reaction Diffusion Equation using Modulating Functions'. Together they form a unique fingerprint.

Cite this