Exponential Observer for a Class of Exothermal Axial Dispersion Reactors

N. Barje^1, , M. E. Achhab¹ and V. Wertz²

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

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

Cite this paper:
N. Barje, M. E. Achhab and 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

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.

Keywords:
distributed parameter systems dissipativity exponential observer invariance nonlinear systems perturbed systems tubular reactors C₀-semigroup

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