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

Habib Dimassi, Joseph J. Winkin, Alain Vande Wouwer

Research output: Contribution to journalArticle

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.

LanguageEnglish
Pages40-48
Number of pages9
JournalSystems and Control Letters
Volume124
DOIs
Publication statusPublished - 1 Feb 2019

Fingerprint

Disturbance rejection
State estimation
Lyapunov functions
Computer simulation
Convection

Keywords

  • Distributed parameters systems
  • Observer design
  • Partial differential equations
  • Reaction–convection–diffusion equation
  • Sliding modes

Cite this

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A sliding mode observer for a linear reaction–convection–diffusion equation with disturbances. / Dimassi, Habib; Winkin, Joseph J.; Vande Wouwer, Alain.

In: Systems and Control Letters, Vol. 124, 01.02.2019, p. 40-48.

Research output: Contribution to journalArticle

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