Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors

The purpose of this paper is to present an observer-based control design with application to continuous bioreactors. For this purpose, phenomenological bioreactor models were represented by identified linear models plus unknown modelling error terms. Therefore, an uncertainty-based observer with a p...

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Main Authors: Ricardo Aguilar-López, Edgar N. Tec-Caamal, M. Isabel Neria-González
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/6417860
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spelling doaj-ce9825055dd147769b106f7cb350e31b2020-11-25T03:34:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/64178606417860Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical ReactorsRicardo Aguilar-López0Edgar N. Tec-Caamal1M. Isabel Neria-González2Department of Biotechnology and Bioengineering, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico, Ciudad de México, C.P. 07360, MexicoDepartment of Biotechnology and Bioengineering, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico, Ciudad de México, C.P. 07360, MexicoChemical and Biochemical Engineering Division, Tecnológico de Estudios Superiores de Ecatepec, Ecatepec de Morelos, Estado de México, C.P. 55210, MexicoThe purpose of this paper is to present an observer-based control design with application to continuous bioreactors. For this purpose, phenomenological bioreactor models were represented by identified linear models plus unknown modelling error terms. Therefore, an uncertainty-based observer with a polynomial structure capable of estimating the unknown modelling error of the reactor representation is coupled to a linear input-output controller. The proposed methodology was evaluated in a sulphate reduction bioprocess and an acetone-butanol-ethanol (ABE) fermentation process for butanol (biofuel) production, under continuous regimes. Experimentally validated mathematical models were considered for this purpose. A theoretical framework is presented to demonstrate the corresponding closed-loop stability of the systems, and numerical simulations were carried out to corroborate the satisfactory performance of the proposed methodology.http://dx.doi.org/10.1155/2020/6417860
collection DOAJ
language English
format Article
sources DOAJ
author Ricardo Aguilar-López
Edgar N. Tec-Caamal
M. Isabel Neria-González
spellingShingle Ricardo Aguilar-López
Edgar N. Tec-Caamal
M. Isabel Neria-González
Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
Mathematical Problems in Engineering
author_facet Ricardo Aguilar-López
Edgar N. Tec-Caamal
M. Isabel Neria-González
author_sort Ricardo Aguilar-López
title Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
title_short Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
title_full Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
title_fullStr Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
title_full_unstemmed Observer-Based Control for Uncertain Nonlinear Systems Applied to Continuous Biochemical Reactors
title_sort observer-based control for uncertain nonlinear systems applied to continuous biochemical reactors
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description The purpose of this paper is to present an observer-based control design with application to continuous bioreactors. For this purpose, phenomenological bioreactor models were represented by identified linear models plus unknown modelling error terms. Therefore, an uncertainty-based observer with a polynomial structure capable of estimating the unknown modelling error of the reactor representation is coupled to a linear input-output controller. The proposed methodology was evaluated in a sulphate reduction bioprocess and an acetone-butanol-ethanol (ABE) fermentation process for butanol (biofuel) production, under continuous regimes. Experimentally validated mathematical models were considered for this purpose. A theoretical framework is presented to demonstrate the corresponding closed-loop stability of the systems, and numerical simulations were carried out to corroborate the satisfactory performance of the proposed methodology.
url http://dx.doi.org/10.1155/2020/6417860
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AT edgarnteccaamal observerbasedcontrolforuncertainnonlinearsystemsappliedtocontinuousbiochemicalreactors
AT misabelneriagonzalez observerbasedcontrolforuncertainnonlinearsystemsappliedtocontinuousbiochemicalreactors
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