Robust Cascade Control for Chemical Reactors: An Approach based on Modelling Error Compensation

Romero-Bustamante, Jorge A.; Moguel-Castañeda, Jazael G.; Puebla, Héctor; Hernández‐Martínez, Eliseo

doi:10.1515/ijcre-2017-0082

Cited by 6 publications

(3 citation statements)

References 18 publications

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“…e main objective of the considered control law is to regulate the dynamic behaviour of the original nonlinear systems by employing representations (3) and (4). In this case, an I/O linearizing feedback approach via plant inversion is considered, so the I/O linearizing feedback is able to provide exponentially and asymptotic closed-loop stability [14,15]. e control input ( 5) is a linearizing controller for systems (3) and (4):…”

Section: Control Designmentioning

confidence: 99%

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

Aguilar-López

Tec-Caamal

Neria-González

2020

Mathematical Problems in Engineering

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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.

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Section: Control Designmentioning

confidence: 99%

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

Aguilar-López

Tec-Caamal

Neria-González

2020

Mathematical Problems in Engineering

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“…Thus, several control strategies have been presented in the open literature, including linear and nonlinear backstepping control, mass concentration regulation controllers, etc. [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A TITO Control Strategy to Increase Productivity in Uncertain Exothermic Continuous Chemical Reactors

2021

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In this manuscript, a two-input two-output (TITO) control strategy for an exothermic continuous chemical reactor is presented. The control tasks of the continuous chemical reactor are related to temperature regulation by a standard proportional-integral (PI) controller. The selected set point increases reactor productivity due to the temperature effect and prevents potential thermal runaway, and the temperature increases until it reaches isothermal operating conditions. Then, an optimal controller is activated to increase the mass reactor productivity. The optimal control strategy is based on a Euler-Lagrange framework, in which the corresponding Lagrangian is based on the model equations of the reactor, and the optimal controller is coupled with an uncertainty estimator to infer the unknown terms required by the proposed controller. As a benchmark, a continuous stirred tank reactor (CSTR) with a Van de Vusse chemical reaction is considered as an application case study. Notably, the proposed methodology is generally applicable to any continuous stirred tank reactor. The results of numerical experiments verify the satisfactory performance of the proposed control strategy.

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“…The stabilization of nonlinear systems with complex or chaotic behavior has been analyzed from several years ago. In particular, the stabilization via nonlinear controllers with regulation purposes in chemical reactors is also a classical task for processes engineers; the control of chemical reactors has been done via linear PID, adaptive, predictive, I/O linearizing, fuzzy, neural, and optimal controllers with success [1][2][3][4][5][6]. A widely employed control strategy is related to the optimal control theory, considering external or without constraints.…”

Section: Introductionmentioning

confidence: 99%

Chaos Suppression via Euler-Lagrange Control Design for a Class of Chemical Reacting System

Aguilar-López

2018

Mathematical Problems in Engineering

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In this work the problem of chaos suppression for a class of continuous chemical reactor with chaotic dynamics is tackled via a nonlinear control strategy. The proposed controller is developed under the framework of optimal control theory, where a functional is proposed to maximize the chemical reaction rate via a proposed Lagrangian-type which contains directly the state equation of the reacting system, avoiding the problems of Lagrange, the Hamiltonian formulation, and consequently the explicit constraints to the system. This allows solving in an easier form the optimization problem in comparison with the standard methods. This procedure allows suppressing the chaotic behavior of the reacting system by stabilizing the reaction rate term by leading it to an extreme value. Numerical experiments are done in order to show the satisfactory performance of the proposed methodology.

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Robust Cascade Control for Chemical Reactors: An Approach based on Modelling Error Compensation

Cited by 6 publications

References 18 publications

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

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

A TITO Control Strategy to Increase Productivity in Uncertain Exothermic Continuous Chemical Reactors

Chaos Suppression via Euler-Lagrange Control Design for a Class of Chemical Reacting System

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