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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Observer Design for a Class of Exothermal Plug-Flow Tubular Reactors

Authors and Affiliations

  • Nadia Barje LINMA, Departement of Mathematics, University Chouïb Doukkali, Morocco
  • Mohammed Elarbi Achhab LINMA, Departement of Mathematics, University Chouïb Doukkali, Morocco
  • Vincent Wertz CESAME, Université Cathoulique de Louvain, Louvain-La-Neuve, Belgium

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Abstract

A semi-linear reduced-order state estimator is presented to reconstruct approximately the state variable initially unknown of a class of nonlinear tubular reactors models, namely the exothermal plug-flow tubular reactor involving sequential reactions for which the kinetics depends on both the temperature and the reactant concentration. Our conception is based on bounded observations and the analysis of the nonlinear set of partial differential equations. It is shown that the given  observer design admits a global unique solution and ensures asymptotic state estimator with exponentially decay error, when only the temperature is available for measurement at the reactor outlet. Simulation results are also presented showing the effectiveness of the proposed observer design.

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How to Cite

Barje, N., Achhab, M. E., & Wertz, V. (2013). Observer Design for a Class of Exothermal Plug-Flow Tubular Reactors. International Journal of Applied Mathematical Research, 2(4), 476-485. https://doi.org/10.14419/ijamr.v2i4.1214