A New Approach for Nonlinear Multivariable Fed-Batch Bioprocess Trajectory Tracking Control
TL;DR: This paper proposes a new control law based on linear algebra that allows nonlinear path tracking in multivariable and complex systems and compares with other controllers from the literature, showing the better performance of the present approach.
Abstract: This paper proposes a new control law based on linear algebra. This technique allows nonlinear path tracking in multivariable and complex systems. This new methodology consists in finding the control action to make the system follow predefined concentration profiles solving a system of linear equations. The controller parameters are selected with a Monte Carlo algorithm so as to minimize a previously defined cost index. The control scheme is applied to a fed-batch penicillin production process. Different tests are shown to prove the controller effectiveness, such as adding parametric uncertainty, perturbations in the control action and in the initial conditions. Moreover, a comparison with other controllers from the literature is made, showing the better performance of the present approach.
Citations
More filters
TL;DR: The problem of optimal profiles tracking control under uncertainties for a nonlinear fed-batch bioprocess is addressed and the design parameters are optimized by a randomized Monte Carlo algorithm.
Abstract: The problem of optimal profiles tracking control under uncertainties for a nonlinear fed-batch bioprocess is addressed in this paper. Based on the results reported by Pantano et al. [ Ind. Eng. Chem. Res. 2017, 56, 6043], this work aims to improve the control system response against parametric uncertainty and process disturbances. The methodology is simple and easy to implement, but with excellent results. The design parameters are optimized by a randomized Monte Carlo algorithm. Besides, demonstration of the tracking error convergence to zero when the system is subjected to uncertainties is included in the article. The control system performance is tested through simulations, showing the improvement achieved.
19 citations
TL;DR: In this article, the authors present a metodologia basada en Algoritmos Geneticos, una tecnica evolutiva de optimizacion.
Abstract: En este trabajo se propone una estrategia de control en lazo cerrado para el seguimiento de perfiles optimos previamente definidos para un bioproceso fed-batch. La mayor ventaja de este enfoque es que las acciones de control se calculan resolviendo un sistema de ecuaciones lineales, sin tener que linealizar el modelo matematico, lo que permite trabajar en cualquier rango. Ademas, se plantean tres tecnicas para la sintonizacion de los parametros del controlador disenado. Primero se propone un metodo de Monte Carlo, el cual es un metodo probabilistico. En segundo lugar, se presenta una metodologia basada en Algoritmos Geneticos, una tecnica evolutiva de optimizacion. La tercera alternativa es el desarrollo de un Algoritmo Hibrido, disenado a partir de la combinacion de los dos metodos anteriores. En todos los casos, el objetivo es encontrar los parametros del controlador que minimicen el error total de seguimiento de trayectorias. El desempeno del controlador se evalua a traves de simulaciones en condiciones normales de operacion y frente a incertidumbre parametrica, empleando los parametros del controlador obtenidos.
15 citations
Cites background from "A New Approach for Nonlinear Multiv..."
...…que se desea seguir son conocidos y que cada variable de estado puede ser medida en línea en cada instante de muestreo (Bogaerts and Coutinho, 2014, Bogaerts and Wouwer, 2003, Dewasme et al., 2015, Hulhoven et al., 2006, Pantano et al., 2017, Vilums and Grigs, 2012, Fernández et al., 2018)....
[...]
TL;DR: To reduce the earlier mentioned uncertainties’ effect during the fermentation, some tracking error integrators are added in the control action calculation to ensure the tracking error convergence to zero, even in the presence of uncertainties.
Abstract: Bioethanol is one of the most studied alternative fuels nowadays. Due to its production process complexity and the low quality of the mathematical models that describe it, a reliable controller is needed to maximize the fuel production and minimize its environmental impact, even in the presence of uncertainty. Here, a controller for tracking optimal profiles considering model errors and external perturbations is proposed. This work is an improvement of a previously presented technique. To reduce the earlier mentioned uncertainties’ effect during the fermentation, some tracking error integrators are added in the control action calculation. This simple modification ensures the tracking error convergence to zero, even in the presence of uncertainties (demonstration available). Different tests are carried out and a performance comparison with the original controller is shown to highlight improvements in the tracking error of up to 98% when integrators are incorporated. Furthermore, a classical PI controller is contrasted with the proposed techniques.
11 citations
TL;DR: A technique based on Fourier series for the control vector parameterization, as an alternative to the traditional methods, has the advantage of choosing a high degree of smoothness to avoid sharp changes for the input variables, which is preferred in most chemical and biological processes.
7 citations
TL;DR: In this article, the main features of a new control design methodology for tracking control in nonlinear processes are summarized and the design of the trajectory control of a mobile robot illustrates the procedure as well as its implementation.
Abstract: In this tutorial, the main features of a new control design methodology for tracking control in nonlinear processes is summarized. The so called LAB (Linear Algebra Based) methodology was introduced by the authors more than ten years ago and it has been accepted and used by many researchers mainly due to its simplicity and easy application. Nevertheless, it is not applicable to all the tracking problems dealing with nonlinear systems. The LAB controller design procedure, both in continuous time and discrete time, is outlined. The design of the trajectory control of a mobile robot illustrates the procedure as well as its implementation. Some properties of the controlled process are discussed and the problem requirements for a successful application are pointed out. Several references allow a deeper analysis of the controlled plant features as well as its application in a variety of processes, either in robotics or in process control.
6 citations
Cites background from "A New Approach for Nonlinear Multiv..."
...…es de resaltar que esta metodologı́a ha sido ya aplicada en diversos tipos de procesos, como puede verse en las referencias que se indican (Scaglia et al. (2015); Serrano et al. (2013); Pantano et al. (2018, 2019); Fernández et al. (2018); Rosales et al. (2015); Gandolfo et al. (2014))....
[...]
References
More filters
Book•
17 Aug 1995TL;DR: This paper reviewed the history of the relationship between robust control and optimal control and H-infinity theory and concluded that robust control has become thoroughly mainstream, and robust control methods permeate robust control theory.
Abstract: This paper will very briefly review the history of the relationship between modern optimal control and robust control. The latter is commonly viewed as having arisen in reaction to certain perceived inadequacies of the former. More recently, the distinction has effectively disappeared. Once-controversial notions of robust control have become thoroughly mainstream, and optimal control methods permeate robust control theory. This has been especially true in H-infinity theory, the primary focus of this paper.
6,945 citations
"A New Approach for Nonlinear Multiv..." refers background in this paper
...Due to the inherent complexity of bioprocess, a model, which includes the accurate parameters, could never be constructed [26]....
[...]
TL;DR: It will be shown that NLP optimality conditions have direct parallels to general variational conditions for optimal control in solving the resulting nonlinear programming (NLP) problem.
328 citations
TL;DR: In this paper, a review of the available literature on second generation bio-fuels from syngas using various biocatalysts is presented and it has been deduced that despite years of research and endeavors, fermentation of synthetic gas to bio-fuel is still a relatively immature technology and long-term view for this potential conversion should be undertaken for future commercial deployments.
Abstract: The ever increasing concerns over fluctuating price of oil and the possible future supply constrains have reinforced the need for alternative fuel resources. Use of synthesis gas (syngas) to generate fuels through a microbial route would likely be an option to address part of this challenge. Syngas fermentation offers a pathway for sustainable synthesis of fuels and chemicals with lots of advantages over catalytic syngas conversion. This work reviews the available literature on production of second generation biofuels from syngas using various biocatalysts. The potential of syngas fermentation using acetogenic, hydrogenogenic and methanogenic organisms have been surveyed. A vast variety of biofuels and biochemicals including ethanol, acetate, hydrogen, butanol, butyrate, methane and etc. have been produced from gaseous substrates using microbial catalysts. The role of various parameters including medium composition, fermentation pH, trace elements, reducing agents and mass transfer limitations on bioconversion process has been extensively discussed. From this survey of literature it has been deduced that despite years of research and endeavors, fermentation of syngas to biofuels is still a relatively immature technology and long-term view for this potential conversion should be undertaken for future commercial deployments.
243 citations
"A New Approach for Nonlinear Multiv..." refers background in this paper
...There are several types of biological reactors designed for the growth of microorganisms and the production of secondary metabolites [3]....
[...]
TL;DR: The focus of most of this paper will be the control of bioreactors (i.e. fermentors) in which a near optimal environment is desired for microorganisms to grow, multiply, and produce a desired product.
209 citations