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Observer for Linear Distributed-Parameter Systems with Application to Isothermal Plug-Flow Reactor
LINMA, Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco
LINMA, Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco
CESAME, Université Cathoulique de Louvain, Louvain-La-Neuve, Belgium
- 1 LINMA, Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco
- 2 LINMA, Department of Mathematics, Faculty of Sciences, Université Chouaib Doukkali, El Jadida, Morocco
- 3 CESAME, Université Cathoulique de Louvain, Louvain-La-Neuve, Belgium
Intelligent Control and Automation·Volume 04 (2013)·Pages 379–384·Published 13 November 2013·DOI10.4236/ica.2013.44045
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Abstract
This paper presents a conception of an exponential observer for a class of linear distributed-parameter systems (DPSs), in which the dynamics are partially unknown. The given distributed-parameter observer ensures asymptotic state esti mator with exponentially decay error, based on the theory of C 0 -semigroups in a Hilbert space. The theoretical ob server developed is applied to a chemical tubular reactor, namely the isothermal Plug-Flow reactor basic dynamical model for which measurements are available at the reactor output only. The process is described by Partial differential equations with unknown initial states. For this application, performance issues are illustrated in a simulation study.
KeywordsDistributed-Parameter Systems<i>C</i><sub>0</sub>-semigroupExponential ObserversPerturbed SystemsTubular Reactor
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