@article{f8ea59cd56614f5c8b9199520d2b1407,
title = "A sliding mode observer for a linear reaction–convection–diffusion equation with disturbances",
abstract = "A sliding mode observer is designed and analyzed for a linear reaction–convection–diffusion equation subject to external disturbances. Based on a discontinuous input, the proposed observer ensures both state estimation and disturbance rejection using only one boundary measurement. An appropriate Lyapunov function is used to prove the asymptotic convergence of the observation error. The performance of the proposed observer is illustrated by some numerical simulation results.",
keywords = "Distributed parameters systems, Observer design, Partial differential equations, Reaction–convection–diffusion equation, Sliding modes",
author = "Habib Dimassi and Winkin, {Joseph J.} and {Vande Wouwer}, Alain",
note = "Funding Information: This paper presents research results of the Belgian network DYSCO (Dynamical Systems, Control and Optimization), funded by the Interuniversity Attraction Poles Programme, initiated by the Belgian state, Science Policy Office (BELSPO), Belgium . The scientific responsibility rests with its authors. Publisher Copyright: {\textcopyright} 2018 Elsevier B.V. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = feb,
day = "1",
doi = "10.1016/j.sysconle.2018.11.014",
language = "English",
volume = "124",
pages = "40--48",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
}