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R.H, Martin, "Nonlinear operators and differential equations in Banach spaces", John Wiley and Sons, 1976.

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Article

Exponential Observer for a Class of Exothermal Axial Dispersion Reactors

1Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco

2CESAME, Université Cathoulique de Louvain, Louvain-La-Neuve, Belgium


Journal of Automation and Control. 2013, Vol. 1 No. 1, 14-20
DOI: 10.12691/automation-1-1-3
Copyright © 2013 Science and Education Publishing

Cite this paper:
N. Barje, M. E. Achhab, V. Wertz. Exponential Observer for a Class of Exothermal Axial Dispersion Reactors. Journal of Automation and Control. 2013; 1(1):14-20. doi: 10.12691/automation-1-1-3.

Correspondence to: N. Barje, Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco. Email: nbarje@yahoo.fr

Abstract

In this work, an exponential observer is performed for an exothermal axial dispersion tubular reactor that involves one nonlinear sequential reaction. More precisely, the given state estimator is performed by using bounded observations and properties of the nonlinear set of partial differential equations. It is shown that the proposed observer admits a global unique solution and ensures asymptotic state estimator with exponentially decay error, when the temperature is available for measurement at the reactor outlet only. This result is confirmed by a numerical simulation.

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