@inproceedings{7ae0c89d513d48898fac9ef965cdb913,
title = "Improved observer design for heat equation with constant measurement delay via Legendre polynomials",
abstract = "In this paper, we present improved results on observer design for 1D heat equation. We first introduce an observer under delayed spatially point measurements that leads to an estimation error with time-delay. Inspired by recent developments in the area of delayed ODEs, we suggest augmented Lyapunov functionals based on the Legendre polynomials. Then, sufficient exponential stability conditions are derived in the form of linear matrix inequalities (LMIs) that are parameterized by the degree of the polynomials. Finally, a numerical example illustrates the efficiency of the results that allow to enlarge the value of delay preserving the stability by more than 20%.",
author = "Jin Zhang and Wen Kang and Emilia Fridman and Alexandre Seuret",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 59th IEEE Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",
year = "2020",
month = dec,
day = "14",
doi = "https://doi.org/10.1109/CDC42340.2020.9304502",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4448--4453",
booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",
address = "الولايات المتّحدة",
}