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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2020/6417860 |
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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 |
work_keys_str_mv |
AT ricardoaguilarlopez observerbasedcontrolforuncertainnonlinearsystemsappliedtocontinuousbiochemicalreactors AT edgarnteccaamal observerbasedcontrolforuncertainnonlinearsystemsappliedtocontinuousbiochemicalreactors AT misabelneriagonzalez observerbasedcontrolforuncertainnonlinearsystemsappliedtocontinuousbiochemicalreactors |
_version_ |
1715176812166774784 |