Stochastic modeling and control of bioreactors

被引：7

作者：

Fontbona, J. ^{[1
,2
]}

Ramirez, H. C. ^{[1
,2
]}

Riquelme, V. ^{[1
,2
]}

Silva, F. J. ^{[3
]}

机构：

[1] Univ Chile, Dept Ingn Matemat, Beauchef 851,Casilla 170-3, Santiago 3, Chile

[2] Univ Chile, CNRS, Ctr Modelamiento Matemat, UMI 2807, Beauchef 851,Casilla 170-3, Santiago 3, Chile

[3] Univ Limoges, Fac Sci & Tech, UMR CNRS 7252, Inst Rech XLIM DMI, F-87060 Limoges, France

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Chemostat; SBR; demographic stochasticity; Stochastic Control; Dynamic Programming Principle; EXTREMUM-SEEKING CONTROL; ACTIVATED-SLUDGE PROCESS; WASTE-WATER TREATMENT; BATCH FERMENTATION; TIME CONTROL; BIOREMEDIATION; BIOPROCESSES; CHEMOSTAT;

D O I：

10.1016/j.ifacol.2017.08.2203

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work we propose a stochastic model for a sequencing-batch reactor (SBR) and for a chemostat. Both models are described by systems of Stochastic Differential Equations (SDEs), which are obtained as limits of suitable Markov Processes characterizing the microscopic behavior. We study the existence of solutions of the obtained equations as well as some properties, among which the possible extinction of the biomass is the most remarkable feature. The implications of this behavior are illustrated in the problem consisting in maximizing the probability of reaching a desired depollution level prior to biomass extinction. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：12611 / 12616

页数：6

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