A sliding mode observer for a linear reaction–convection–diffusion equation with disturbances

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 Lya...

Full description

Saved in:
Bibliographic Details
Published inSystems & control letters Vol. 124; pp. 40 - 48
Main Authors Dimassi, Habib, Winkin, Joseph J., Vande Wouwer, Alain
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.02.2019
Subjects
Distributed parameters systems
Observer design
Partial differential equations
Reaction–convection–diffusion equation
Sliding modes
Sliding modes
Reaction–convection–diffusion equation
Distributed parameters systems
Partial differential equations
Observer design
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2018.11.014