孙凯彪

个人信息Personal Information

副教授

硕士生导师

性别:男

毕业院校:北京师范大学

学位:博士

所在单位:控制科学与工程学院

学科:控制理论与控制工程. 应用数学

办公地点:海山楼A1127

联系方式:17741113575

电子邮箱:sunkb@dlut.edu.cn

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Studies on the dynamics of a continuous bioprocess with impulsive state feedback control

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论文类型:期刊论文

发表时间:2010-03-01

发表刊物:CHEMICAL ENGINEERING JOURNAL

收录刊物:SCIE、EI、Scopus

卷号:157

期号:2-3

页面范围:558-567

ISSN号:1385-8947

关键字:Feedback control; Nonlinear biomass yield; Optimization; Periodic solution; State impulsive

摘要:The oxygen demand in a bioreactor should be lower than the dissolved oxygen content. Biomass concentration is one of the most important factors which affect oxygen demand. Moreover, control of the medium substrate concentration is a result of the substrate inhibition phenomenon. Based on the design ideas of a continuous bioprocess which can regulate the biomass concentration, a mathematical model with the extended Monod growth kinetics and impulsive state feedback control is proposed in this paper. Through an analysis of the dynamic properties and a numerical simulation of the continuous bioprocess with impulsive state feedback control, the conditions are obtained for the existence and stability of the system's positive period-1 solution. It is also pointed out that the positive period-2 solution is nonexistent. The results simplify the choosing of suitable operating conditions for continuous bioprocess. it also presents the complete expression of the positive period-1 solution period, which provides the precise feeding time frame for a regularly continuous bioprocess to achieve an equivalent stable output as that of an impulsive bioprocess in the same production environment. The article also presents and discusses aspects of the bioprocess optimization. (C) 2010 Elsevier B.V. All rights reserved.