A Robust Extended State Observer for the Estimation of Concentration and Kinetics in a CSTR

Author:

Sánchez Torres Juan Diego1,Botero Héctor A.2,Jiménez Esteban2,Jaramillo Oscar2,Loukianov Alexander G.1

Affiliation:

1. CINVESTAV-IPN Unidad Guadalajara, Av. del Bosque 1145, Guadalajara, México

2. Universidad Nacional de Colombia, Sede Medelín, Calle 59A No 63 – 20 Medellín, Colombia

Abstract

Abstract This paper presents a state estimation structure for a Continuous Stirred Tank Reactor (CSTR), by means of an Asymptotic Observer jointly with a disturbance high order sliding mode-based estimator. The proposed estimation scheme allows the asymptotic reconstruction of the concentration inside the reactor based on the measures of the temperature inside the reactor and the temperature inside the jacket, in presence of changes in the global coefficient of heat transfer U A $UA$ , the Arrhenius constant k 0 ${k_0}$ and the activation energy E. Additionally, the structure is able to estimate U A $UA$ and the kinetics term k 0 e E R T ${k_0}{e^{- {E \over {RT}}}}$ . The properties of the proposed scheme are proved mathematically and verified through numerical simulations.

Publisher

Walter de Gruyter GmbH

Subject

General Chemical Engineering

Reference36 articles.

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2. 2. Bastin, G.P., Dochain, D., 1990. On-line estimation and adaptative control of bioreactors. Laboratoire D’Automatique. http://orton.catie.ac.cr/cgi-bin/wxis.exe/?IsisScript=LIBRO.xis&method=post&formato=2&cantidad=1&expresion=mfn=030557\npapers://78a99879-71e7-4c85-9127-d29c2b4b416b/Paper/p10531.

3. 3. Bequette, B.W., 2002. Behavior of a CSTR with a recirculating jacket heat transfer system. Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) 4. doi:10.1109/ACC.2002.1025296.

4. 4. Botero, H., Alvarez, H., 2011. Non linear state and parameters estimation in chemical processes: analysis and improvement of three estimation structures applied to a CSTR. International Journal of Chemical Reactor Engineering 9, 1–34. http://www.bepress.com/ijcre/vol9/A6.

5. 5. Botero, H., Sánchez-Torres, J.D., Jiménez, E., Jaramillo, O., 2014. Estimación de Estado E Incertidumbre En Un CSTR Mediante Observador Asintótico Y Modos Deslizantes de Alto Orden. In XXVII Congreso Interamericano Y Colombiano de Ingeniería Química. Cartagena.

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