Non-asymptotic state estimation of linear reaction diffusion equation using modulating functions
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Conference Paper
KAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Bioscience Research Center (CBRC)
KAUST Grant Number
BAS/1/1627-01-01Date
2020Permanent link to this record
http://hdl.handle.net/10754/664914Metadata
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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.Citation
Ghaffour, L., Noack, M., Reger, J., & Laleg-Kirati, T.-M. (2020). Non-asymptotic State Estimation of Linear Reaction Diffusion Equation using Modulating Functions. IFAC-PapersOnLine, 53(2), 4196–4201. doi:10.1016/j.ifacol.2020.12.2570Sponsors
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 Skłodowska-Curie grant agreement No. 824046.Publisher
Elsevier BVConference/Event name
21st IFAC World Congress 2020Additional Links
https://linkinghub.elsevier.com/retrieve/pii/S240589632033322XScopus Count
Except where otherwise noted, this item's license is described as Copyright © 2020. The Authors. This is an open access article under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/)