Non-asymptotic state estimation of linear reaction diffusion equation using modulating functions
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Computational Bioscience Research Center (CBRC)
KAUST Grant NumberBAS/1/1627-01-01
Permanent link to this recordhttp://hdl.handle.net/10754/664914
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AbstractIn 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.
CitationGhaffour, 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.2020.12.2570
SponsorsThis 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.
Conference/Event name21st IFAC World Congress 2020
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/)