Theoretical Study and Optimization of the Biochemical Reaction Process by Means of Feedback Control Strategy

Kaibiao Sun,Andrzej Kasperski,Yuan Tian

doi:10.1155/2013/105765

Kaibiao Sun, Andrzej Kasperski + Show 1 more

Open Access

https://doi.org/10.1155/2013/105765

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Abstract

The aim of this work is to present a theoretical analysis and optimization of a biochemical reaction process by means of feedback control strategy. To begin with, a mathematical model of the biochemical reaction process with feedback control is formulated. Then, based on the formulated model, the analysis of system's dynamics is presented. The optimization of the bioprocess is carried out, in order to achieve maximal biomass productivity. It is shown that during the optimization, the bioprocess with impulse effects loses the possibility of synchronization and strives for a simple continuous bioprocess. The analytical results presented in the work are validated by numerical simulations for the Tessier kinetics model.

Highlights

Chemical and bioprocess engineering play an important role in the production of many chemical products
Bioreactor engineering as a branch of chemical engineering and biotechnology is an active area of research on bioprocesses, including among others development, control, and commercialization of new technology [1]. e reaching of optimal results and the obtainment of maximal pro ts require modern control strategies based on mathematical models or arti cial intelligence methods [2]. ere are many advantages with the use of mathematical models, and one of which is the possibility of testing process stability [3]
During the growth of microorganisms, the dissolved oxygen concentration depends on several factors, among them the biomass concentration, the concentration and type of substrate used, and the bioprocess conditions

Summary

Introduction

Chemical and bioprocess engineering play an important role in the production of many chemical products. According to different reactions and differential control technologies, many dynamic biochemical models in a chemostat have been established [4,5,6,7,8,9,10,11,12]. In microbioprocess engineering, the dynamic properties of the kinetic models with impulse effects characterized by the universal microorganism growth rate and two different kinds of biomass yield are analyzed theoretically by Sun et al [37,38,39]. (ξξξξξξξ ξξξξξξξ is said to be period-2 solution if in a minimum cycle time there are two impulse effects.

Properties Analysis of the Bioprocess

Applied Instance

Conclusions